Books

Books


book

A Primer on Pontryagin's Principle in Optimal ControI

I. Michael Ross, Collegiate Publishers, 2009

This book introduces a student to Pontryagin's "Maximum" Principle in a tutorial style. How to formulate an optimal control problem and how to apply Pontryagin's theory are the main topics. Numerous examples are used to discuss pitfalls in problem formulation. Figures are used extensively to complement the ideas. An entire chapter is dedicated to solved example problems: from the classical Brachistochrone problem to modern space vehicle guidance. These examples are also used to show how to obtain optimal nonlinear feedback control. Students in engineering and mathematics will find this book to be a useful complement to their lecture notes.

Patents

Patents


Ross, I. M., Proulx, R. J., Karpenko, M. "Method and Apparatus for State Space Trajectory Control of Uncertain Dynamical Systems," 14/844,227, Pending.
 
Ross, I. M., Proulx, R. J., Karpenko, M. "Method and Apparatus for Risk Reduction in Uncertain Programming Problems," 62/191,568, Pending.
 
Ross, I. M., Proulx, R. J., Karpenko, M. "Unscented Control for Uncertain Dynamical System," 14/699,051, Pending.
 
Ross, I. M., Lee, D., Karpenko, M., "Method and Apparatus for Contingency Guidance of a CMG Actuated Spacecraft," 9,038,958 B1, Issued: May 26, 2015.
 
Karpenko, M., Ross, I. M., "Method and Apparatus for Determining Spacecraft Maneuvers," 8,880,246 B1, Issued: November 4, 2014.
Journal

Journal Publications


A Simple Approach for Predicting Time-Optimal Slew Capability
King, J. T., and Karpenko, M.
Acta Astronautica, Vol. 120, pp. 159-170, 2016.
 
Experimental Implementation of Riemann–Stieltjes Optimal Control for Agile Imaging Satellites 
Karpenko, M., and Proulx, R. J.
Journal of Guidance Control and Dynamics, Vol. 39, No. 1, pp. 144-150, 2016.
 
Rapid Maneuvering of Multi-Body Dynamic Systems with Optimal Motion Compensation
Bishop, B., Gargano, R., Sears, A., and Karpenko, M.
Acta Astronautica, Vol. 117, pp. 209-221, 2015.
 
Riemann–Stieltjes Optimal Control Problems for Uncertain Dynamic Systems
Ross, I. M., Proulx, R. J., and Karpenko, M., and Q. Gong
Journal of Guidance Control and Dynamics, Vol. 38, No. 7, pp. 1251-1263, 2015.
 
Flight Implementation of Shortest-Time Maneuvers for Imaging Satellites
Karpenko, M., Bhatt, S., Bedrossian, N., and Ross, I. M.
Journal of Guidance, Control, and Dynamics, 37(4), pp. 1069-1079, 2014.
 
Overclock My Satellite: Sophisticated Algorithms Boost Satellite Performance on the Cheap
Bedrossian, N., Karpenko, M., and Bhatt, S.
IEEE Spectrum Magazine, 49(11), pp. 54-62, 2012.
 
A Review of Pseudospectral Optimal Control: Form Theory to Flight
Ross, I. M. and Karpenko, M.
Annual Reviews in Control, 36(2), pp. 182-197, 2012.
 
First Flight Results on Time-Optimal Spacecraft Slews
Karpenko, M., Bhatt, S., Bedrossian, N., Fleming, A., and Ross. I. M.
Journal of Guidance Control and Dynamics, 35(2), pp. 367-376, 2012.
 

Pseudospectral Methods for Infinite-Horizon Nonlinear Optimal Control Problems
Fariba Fahroo; I. Michael Ross
Journal of Guidance, Control, and Dynamics
vol.31 no.4, 2008

Convergence of the Costates Does Not Imply Convergence of the Control
Fariba Fahroo; I. M. Ross
Journal of Guidance, Control, and Dynamics
vol.31 no.5, 2008

Spectral Algorithm for Pseudospectral Methods in Optimal Control 
Qi Gong; Fariba Fahroo; I. Michael Ross
Journal of Guidance, Control, and Dynamics
vol. 31, no. 3, 2008

Connections Between the Covector Mapping Theorem and Convergence of Pseudospectral Methods for Optimal Control
Qi Gong; I. Michael Ross; Wei Kang, Fariba Fahroo
Computational Optimization and Applications, To appear.

Optimal Feedback Control: Foundations, Examples, and Experimental Results for a New Approach
I. M. Ross, Pooya Sekhavat, Andrew Fleming, Qi Gong 
Journal of Guidance, Control, and Dynamics
vol. 31, no. 2 (307-321), 2008 

On the Convergence of Nonlinear Optimal Control Using Pseudospectral Methods for Feedback Linearizable Systems
Wei Kang; Qi Gong; I. M. Ross; Fariba Fahroo
International Journal of Robust and Nonlinear Control 
vol. 17, no. 14 (1251–1277), 2007

Pseudospectral Observer for Nonlinear Systems 
Qi Gong, I. Michael Ross; Wei Kang
Journal of Discrete and Continuous Dynamical Systems – Series B 
vol. 8, no. 3 (589-611), 2007

Optimal Trajectory Reconfiguration and Retargeting for Reusable Launch Vehicles 
Patrick J. Shaffer; I. Michael Ross; Michael W. Oppenheimer; David B. Doman; Kevin P. Bollino
Journal of Guidance, Control, and Dynamics
vol. 30, no. 6, (1794-1802), 2007

Pseudospectral Feedback Control for Three-Axis Magnetic Attitude Stabilization in Elliptic Orbits 
Hui Yan; Michael Ross; Kyle T. Alfriend 
Journal of Guidance, Control, and Dynamics  
vol. 30, no.4 (1107-1115), 2007

Low-Thrust, High-Accuracy Trajectory Optimization
I. Michael Ross; Qi Gong; Pooya Sekhavat 
Journal of Guidance, Control, and Dynamics 
vol. 30, no.4 (921-933), 2007

Design and Control of Libration Point Spacecraft Formations
Samantha I. Infeld; Scott B. Josselyn; Walter Murray; I. Michael Ross 
Journal of Guidance, Control, and Dynamics 
vol. 30, no.4 (899-909), 2007

A Pseudoapectral Method for the Optimal Control of Constrained Feedback Linearizable Systems
Qi Gong, I. Michael Ross, Wei Kang
IEEE Transactions on Automatic Control
vol. 51, no. 7, (1115-1129), 2006

Sensitivity Analysis for Rapid Prototyping of Entry Vehicles
Scott B. Josselyn; I. Michael Ross 
Journal of Spacecraft and Rockets 
vol. 43, no.4 (836-841), 2006

Hybrid Optimal Control Framework for Mission Planning 
I. Michael Ross; Christopher N. D'Souza 
Journal of Guidance, Control, and Dynamics 
vol. 28, no.4 (686-697), 2005

A Roadmap for Optimal Control: The Right Way to Commute 
I. Michael Ross
Annals of the New York Academy of Sciences
vol.1065, (210-231), 2006

Preliminary Design of Earth-Mars Cyclers Using Solar Sails 
Robert Stevens; I. M. Ross 
Journal of Spacecraft and Rockets 
vol. 42, no.1 (132-137), 2005

Pseudospectral Knotting Methods for Solving Nonsmooth Optimal Control Problems
Fariba Fahroo, I. Michael Ross
Journal of Guidance, Control, and Dynamics 
vol. 27, no.3 (397-405), 2004

Pseudospectral Methods for Optimal Motion Planning of Differentially Flat Systems
I. Michael Ross, Fariba Fahroo
IEEE Transactions on Automatic Control
vol. 49, no. 8 (1410 –1413), 2004 

Linearized Dynamic Equations for Spacecraft Subject to J Perturbations 
I. Michael Ross 
Journal of Guidance, Control, and Dynamics  
vol. 26, no.4 (657-659), 2003

Rapid Verification Method for the Trajectory Optimization of Reentry Vehicles 
Scott Josselyn; I. Michael Ross 
Journal of Guidance, Control, and Dynamics 
vol. 26, no.3 (505-508), 2003

Mechanism for Precision Orbit Control with Applications to Formation Keeping 
I. Michael Ross 
Journal of Guidance, Control, and Dynamics  
vol. 25, no.4 (818-820), 2002

Direct Trajectory Optimization by a Chebyshev Pseudospectral Method 
Fariba Fahroo; I. Michael Ross 
Journal of Guidance, Control, and Dynamics 
vol. 25, no.1 (160-166), 2002

Costate Estimation by a Legendre Pseudospectral Method 
Fariba Fahroo; I. Michael Ross 
Journal of Guidance, Control, and Dynamics
vol. 24, no.2 (270-277), 2001

Second Look at Approximating Differential Inclusions 
Fariba Fahroo; I. Michael Ross 
Journal of Guidance, Control, and Dynamics 
vol. 24, no.1 (131-133), 2001

Gravitational Effects of Earth in Optimizing V for Deflecting Earth-Crossing Asteroids 
I. Michael Ross; Sang-Young Park; Scott D. V. Porter 
Journal of Spacecraft and Rockets  
vol. 38, no.5 (759-764), 2001

Extremal Angle of Attack over a Singular Thrust Arc in Rocket Flight
I. Michael Ross
Journal of Guidance, Control, and Dynamics 
vol. 20, no. 2 (394-393) 1997

Extremally Steered Singular Thrust-Arcs for Space Flight in an Atmosphere
I. Michael Ross
Elsevier Science Ltd
vol. 39, no. 8 (569-577) 1997

Formulation of Stability Conditions for Systems Containing Driven Rotors  
I. Michael Ross
Journal of Guidance, Control, and Dynamics 
vol.19, no.2 (305-308), 1996

Low-Earth-Orbit Maintenance - Reboost vs Thrust-Drag Cancellation  
I. Michael Ross; Kyle T. Alfriend
Naval Postgraduate School, Monterey, CA
Journal of Guidance, Control, and Dynamics 
vol.18, no.4 (930-932), 1995

Nutational Stability and Core Energy of a Quasirigid Gyrostat  
I. Michael Ross
Journal of Guidance, Control, and Dynamics 
vol.16, no.4 (641-647), 1993

Optimality of the Heating-Rate-Constrained Aerocruise Maneuver
I. Michael Ross, John C. Nicholson
Journal of Spacecraft and Rockets
vol. 35, no. 3, (361-364) 1998

Symmetric Kinematic Transformation Pair using Euler Parameters 
I. Michael Ross; Robert G. Melton 
Journal of Guidance, Control, and Dynamics 
vol.10, no.5 (506-507), 1987

Conference Papers

Conference Papers


Path Constraints in Tychastic and Unscented Optimal Control: Theory, Application and Experimental Results
Ross, I. M., Karpenko, M., and Proulx, R. J.
Proceedings of the American Control Conference, Boston, MA, July 6-8, 2016.

Unscented Guidance for Waypoint Navigation of a Fixed-Wing UAV
Shaffer, R., Karpenko, M., and Gong, Q.
Proceedings of the American Control Conference, Boston, MA, July 6-8, 2016.

Effect of Update Frequency on EKF and UKF Performance
Frontera. P. J., Proulx, R. J., Karpenko, M., and Ross, I. M.
26th AAS/AIAA Space Flight Mechanics Meeting, February 14-18, 2016, Napa, CA. Paper number: AAS 16-358.

Parallel Genetic Algorithms For Optimal Control
McGrath, C. B., Proulx, R. J., and Karpenko, M.
26th AAS/AIAA Space Flight Mechanics Meeting, February 14-18, 2016, Napa, CA. Paper number: AAS 16-367.

Unscented Evolution Strategies for Solving Trajectory Optimization Problems
McGrath, C. B., Karpenko, M., Proulx, R. J., and Ross, I. M.
26th AAS/AIAA Space Flight Mechanics Meeting, February 14-18, 2016, Napa, CA. Paper number: AAS 16-368.

Dynamic Optimization for Satellite Image Collection
Ross, I. M., Proulx, R. J., Greenslade, J. M., and Karpenko, M.
26th AAS/AIAA Space Flight Mechanics Meeting, February 14-18, 2016, Napa, CA. Paper number: AAS 16-260.

Hardware-in-the-Loop Simulator for Rapid Prototyping of CMG-Based Attitude Control Systems
Fields, B., Kocis, S., Williams, K., and Karpenko, M.
39th Annual AAS Guidance & Control Conference , February 5 to February 10, 2016, Breckenridge, CO. Paper number: AAS 16-014.

Monte Rey Methods for Unscented Optimization
Ross, I. M., Proulx, R. J., and Karpenko, M.
AIAA Guidance, Navigation, and Control Conference, January 4-8, 2016, San Diego, CA. Paper number: AIAA 2016-0871.

Rapid Collection of Large Areas for Imaging Spacecraft
King, J. T., Karpenko, M., and Ross, I. M.
25th AAS/AIAA Space Flight Mechanics Meeting , January 11-15, 2015, Williamsburg, VA. Paper number: AAS 15-379.

Experimental Implementation of Riemann-Stieltjes Optimal Control for Agile CMG Maneuvering
Karpenko, M. and Proulx, R. J.
25th AAS/AIAA Space Flight Mechanics Meeting , January 11-15, 2015, Williamsburg, VA. Paper number: AAS 15-288.

Estimation of Optimal Control Benefits using the Agilitoid Concept
King, J. T. and Karpenko, M.
25th AAS/AIAA Space Flight Mechanics Meeting , January 11-15, 2015, Williamsburg, VA. Paper number: AAS 15-380.

Agilitoid-Based Design Analysis of Next Generation Attitude Control Systems
M. Karpenko, J. King, and I. M. Ross.
38th Annual AAS Guidance & Control Conference, January 30 to February, 4, 2015, Breckenridge, CO. Paper number: AAS 15-047.

A Lebesgue-Stieltjes Framework For Optimal Control Allocation
Ross, I. M., Karpenko, M., and Proulx, R. J.
Proceedings of the American Control Conference, Chicago, IL, July 1-3, 2015.

Unscented Guidance
Ross, I. M., Proulx, R. J., and Karpenko, M.
Proceedings of the American Control Conference, Chicago, IL, July 1-3, 2015.

Analysis of Hyper-Pseudospectral Transformation of Random Variables
Frontera, P., Karpenko, M., Proulx, R. J., Ross, I. M.
AAS/AIAA Astrodynamics Specialist Conference, August 9 – August 13, 2015, Vail, CO. Paper number: AAS-15-630.

Distributed Computation for Near Real-Time Footprint Generation
McGrath, C., Karpenko, M., and Proulx, R. J.
AAS/AIAA Astrodynamics Specialist Conference, August 9 – August 13, 2015, Vail, CO. Paper number: AAS-15-617.

Unscented Optimization
Ross, I. M., Proulx, R. J., and Karpenko, M.
AAS/AIAA Astrodynamics Specialist Conference, August 9 – August 13, 2015, Vail, CO. Paper number: AAS-15-607.

Agility Envelopes for Reaction Wheel Spacecraft
Karpenko, M. and King, J.
AAS/AIAA Astrodynamics Specialist Conference, August 9 – August 13, 2015, Vail, CO. Paper number: AAS-15-620.

A Micro-Slew Concept for Precision Pointing of the Kepler Spacecraft
Karpenko, M., Ross, I. M., Stoneking, E., Lebsock, K., and Dennehy, N.
AAS/AIAA Astrodynamics Specialist Conference, August 9 – August 13, 2015, Vail, CO. Paper number: AAS-15-628.

Rapid Maneuvering of Multi-Body Dynamic Systems with Motion Compensation
Bishop, B., Gargano, R., Sears, A., and Karpenko, M.
Proceedings of the AAS/AIAA Astrodynamics Specialist Conference, August 4-7, 2014, San Diego, CA.

Unscented Optimal Control for Orbital and Proximity Operations in an Uncertain Environment: A New Zermelo Problem
Ross, I. M., Proulx, R. J., and Karpenko, M.
Proceedings of the AAS/AIAA Astrodynamics Specialist Conference, August 4-7, 2014, San Diego, CA.

Unscented Optimal Control for Space Flight
Ross, I. M., Proulx, R. J., and Karpenko, M.
 Proceedings of the 24th International Symposium on Space Flight Dynamics (ISSFD), May 5-9, 2014, Laurel, MD.

Precision Pointing for a Skewed 2-Reaction Wheel Control System
Karpenko, M., Kang, W., Proulx, R. J. and Ross, I. M.
Proceedings of the 37th Annual AAS Guidance and Control Conference, January 31 – February 5, 2014, Breckenridge, CO. Paper number: AAS 14-104.

Attitude Representation and Kinematic Propagation for Low-Cost UAVs
Casey, R. T., Karpenko, M., Currey, R. and Elkaim, G. H.
Proceedings of the 2013 AIAA Guidance, Navigation and Control Conference, August 19-22, 2013, Boston, MA, paper number: AIAA 2013-4615.

Flight Results for a Revolutionary Approach to Maximizing Spacecraft Imaging Capability
Karpenko, M., Bhatt, S., Bedrossian, N., and Ross, I. M.
Proceedings of the 23rd International Symposium on Space Flight Dynamics (ISSFD), October 29 – November 2, 2012, Pasadena, CA.

Implementation of Shortest-Time Maneuvers for Generic CMG Steering Laws
Karpenko, M. and Ross, I. M.
Proceedings of the AIAA/AAS Astrodynamics Specialist Conference, August 13-16, 2012, Minneapolis, MN, paper number: AIAA 2012-4959.

Flight Implementation of Pseudospectral Optimal Control for the TRACE Space Telescope
Karpenko, M., Bhatt, S., Bedrossian, N., Fleming, A. and Ross, I. M.
Proceedings of the 2011 AIAA Guidance, Navigation and Control Conference, August 8-11, 2011, Portland, OR, paper number: AIAA 2011-6506.

Design and Flight Implementation of Operationally Relevant Time-Optimal Spacecraft Maneuvers
Karpenko, M., Bhatt, S., Bedrossian, N., and Ross, I. M.
Proceedings of the AAS/AIAA Astrodynamics Specialist Conference, July 31-August 4, 2011, Girdwood, AK, AAS paper 11-586.

First Flight Results on Time-Optimal Spacecraft Slews
Karpenko, M., Bedrossian, N., Bhatt, S., Fleming, A., and Ross, I. M.
Proceedings of the 21st AAS/AIAA Space Flight Mechanics Meeting, February 14-17, 2011, New Orleans, LA, paper number: AAS Paper 11-110.

Closed-loop Optimal Guidance and Control of Quadrotor Unmanned Aerial Vehicle
Karpenko, M., Sekhavat, P., Park, J. and Ross, I. M.
Proceedings of the 2010 AIAA Guidance, Navigation and Control Conference, August 2-5, 2010, Toronto, ON, paper number: AIAA 2010-8051.

Autonomous Multi-Vehicle Formations Using Pseudospectral Optimal Control Framework
Hurni, M. A., Sekhavat, P., Karpenko, M. and Ross, I. M.
Proceedings of the 2010 IEEE/ASME International Conference on Advanced Intelligent Mechatronics, July 6-9, 2010, Montréal, QC, pp. 980-986. 

A Pseudospectral Optimal Motion Planner for Autonomous Unmanned Vehicles
Hurni, M. A., Sekhavat, P., Karpenko, M. and Ross, I. M.
Proceedings of the 2010 American Control Conference, June 30-July 2, 2010, Baltimore, MD, pp. 1591-1598. 

Smooth Proximity Computation for Collision-Free Optimal Control of Multiple Robotic Manipulators
Cascio, J., Karpenko, M., Sekhavat, P., Gong, Q. and Ross, I. M.
Proceedings of the IEEE/RSJ International Conference on Intelligent Robots and Systems, October 11-15, 2009, St. Louis, MO, pp. 2452-2457.

UKF-Based Spacecraft Parameter Estimation Using Optimal Excitation
Sekhavat, P., Karpenko, M., Ross, I. M.
Proceedings of the 2009 AIAA Guidance, Navigation, and Control Conference, August 10-13, 2009, Chicago, IL, paper number: AIAA 2009-5786.

Optimal Collision-Free Trajectory Planning for Robotic Manipulators: Simulation and Experiments
Cascio, J., Karpenko, M., Sekhavat, P., and Ross, I. M.
Proceedings of the AIAA/AAS Spaceflight Mechanics Meeting, February 8-12, 2009, Savannah, GA, pp. 1424-1437.

Autonomous Trajectory Planning Using Real-Time Information Updates
Michael Hurni, Pooya Sekhavat, I. Michael Ross
AIAA Guidance, Navigation and Control Conference and Exhibit
Paper # AIAA-2008-6305, Honolulu, Hawaii, 2008

Fuel-Optimal Design of Moon-Earth Trajectories Using Legendre Pseudospectral Method
Chandeok Park, Qi Gong, I. Ross, Pooya Sekhavat,
AIAA/AAS Astrodynamics Specialist Conference and Exhibit,
Paper # AIAA-2008-7074, Honolulu, Hawaii, 2008

Advances in Pseudospectral Methods for Optimal Control
Fariba Fahroo, I. Michael Ross
AIAA Guidance, Navigation and Control Conference and Exhibit
Paper # AIAA-2008-7309, Honolulu, Hawaii, 2008

Optimal Control of Spinning Axisymmetric Spacecraft: A Pseudospectral Approach
Andrew Fleming, I. Michael Ross
AIAA Guidance, Navigation and Control Conference and Exhibit
Paper # AIAA-2008-7164, Honolulu, Hawaii, 2008

Bellman Pseudospectral Method
I. Michael Ross, Qi. Gong, Pooya Sekhavat
AIAA/AAS Astrodynamics Specialist Conference and Exhibit
Paper # AIAA-2008-6448, Honolulu, Hawaii, 2008

Collision-Free Multi-UAV Optimal Path Planning and Cooperative Control for Tactical ApplicationsKevin Bollino, L. Ryan Lewis,
AIAA Guidance, Navigation and Control Conference and Exhibit,
Paper # AIAA-2008-7134, Honolulu, Hawaii, 2008 

Guess-Free Trajectory Optimization
I. Michael Ross, Qi Gong
AIAA/AAS Astrodynamics Specialist Conference and Exhibit
Paper # AIAA-2008-6273, Honolulu, Hawaii, 2008

Triangle Formation Design in Eccentric Orbits Using Pseudospectral Optimal Control
Qi Gong, I. Michael Ross, Terry. Alfriend
AIAA/AAS Astrodynamics Specialist Conference and Exhibit
Paper # AIAA-2008-7360, Honolulu, Hawaii, 2008

Minimum-Time Reorientation of an Asymmetric Rigid Body
Andrew Fleming, Pooya Sekhavat, I. Michael Ross
AIAA Guidance, Navigation and Control Conference and Exhibit
Paper # AIAA-2008-7012, Honolulu, Hawaii, 2008

Pseudospectral Optimal Control for Military and Industrial Applications 
Qi Gong, Wei Kang, Naz Bedrossian, Fariba Fahroo, Pooya Sekhavat, Kevin Bollino
46th IEEE Conference on Decision and Control
Tutorial Session Paper #1739, Dec 2007

Optimal Path Planning and Control of Tactical Unmanned Aerial Vehicles in Urban Environments
Kevin Bollino, Ryan Lewis
Proceedings of AUVSI's Unmanned Systems North America 2007 Conference
Washington D.C., Aug 2007

Six-Degrees-of-Freedom Trajectory Optimization for Reusable Launch Vehicle Footprint Determination
Kevin Bollino, I. Michael Ross, D.B Doman
Proceedings of AAS/AIAA Astrodynamics Specialists Conference
Mackinac Island, Michigan, Aug 2007

Pseudospectral Optimal Control: A Clear Road for Autonomous Intelligent Path Planning
Kevin Bollino, L. Lewis, Pooya Sekhavat, I. Michael Ross 
Proceedings of AIAA- Infotech@Aerospace Conference and Exhibit 
Paper# AIAA-2007-2831, Rohnert Park, California, May 7-10, 2007

A Pseudospectral Feedback Method for Real-Time Optimal Guidance of Reentry Vehicles
Kevin Bollino, I. Michael Ross
Proceedings of American Control Conference
Page(s):3861 – 3867, New York City, USA, July 11-13, 2007

NPSAT1 Parameter Estimation Using Unscented Kalman Filtering
Pooya Sekhavat, Qi Gong, I. Michael Ross
Proceedings of American Control Conference 
Page(s): 4445 - 4451, New York City, USA, July 11-13, 2007

A Unified Pseudospectral Framework for Nonlinear Controller and Observer Design
Qi Gong, I. Michael Ross, Wei Kang
Proceedings of American Control Conference 
Page(s):1943 - 1949, New York City, USA, July 11-13, 2007

A Simple Technique for Low- Thrust High-Accuracy Trajectory Optimization
I. Michael RossQi GongPooya Sekhavat
Proceedings of the 16th AAS/AIAA Space Flight Mechanics Meeting
Paper# AAS 06-150, Tampa, Florida, 2006

Autonomous Pseudospectral Knotting Methods for Space Mission Optimization
Qi Gong, I. Michael Ross
Proceedings of AAS/AIAA Space Flight Mechanics Meeting
Page(s): 761-779, 2006

Optimal Nonlinear Feedback Guidance for Reentry Vehicles
Kevin Bollino, I. Michael Ross, Dave Doman
Proceedings of AIAA-Guidance, Navigation, and Control Conference and Exhibit
Paper# AIAA-2006-6074, Keystone, Colorado, Aug. 21-24, 2006

Pseudospectral Feedback Control: Foundations, Examples and Experimental Results 
I. Michael Ross, Pooya Sekhavat, Andrew Fleming, Qi Gong, Wei Kang, 
Proceedings of AIAA-Guidance, Navigation, and Control Conference and Exhibit
Paper# AIAA-2006-6354, Keystone, Colorado, Aug. 21-24, 2006

Optimal Guidance Command Generation and Tracking for Reusable Launch Vehicle Reentry 
Kevin Bollin, M. Oppenheimer; Dave Doman, 
Proceedings of AIAA-Guidance, Navigation, and Control Conference and Exhibit
Paper# AIAA-2006-6691, Keystone, Colorado, Aug. 21-24, 2006

Unscented Kalman Filtering: NPSAT1 Ground Test Results 
Pooya Sekhavat, Qi Gong, I. Michael Ross, 
Proceedings of AIAA-Guidance, Navigation, and Control Conference and Exhibit
Paper# AIAA-2006-6352, Keystone, Colorado, Aug. 21-24, 2006

On the Pseudospectral Covector Mapping Theorem for Nonlinear Optimal Control
Qi Gong, I. Michael Ross, Wei Kang, Fariba Fahroo
Proceedings of 45th IEEE Conference on Decision and Control
Page(s): 2679 – 2686, Dec.13-15, 2006

Practical Stabilization through Real-Time Optimal Control
Qi Gong, I. Michael Ross, Fariba Fahroo, Wei Kang;
Proceedings of American Control Conference 
Page(s): 304 - 309., June 14-16, 2006

On Discrete-Time Optimality Conditions for Pseudospectral Methods
Fariba Fahroo,  I. Michael Ross 
Proceedings of AIAA Guidance, Navigation, and Control Conference 
Paper# AIAA 2006-6304, Keystone, Colorado, Aug. 21-24, 2006 

Issues in the Real-Time Computation of Computation of Optimal Control 
I. Michael Ross, Fariba Fahroo
Proceedings of Mathematical and Computer Modelling, 2006

Dual Convergence of the Legendre Pseudopectral Method for solving Nonlinear Constrained Optimal Control problem 
Qi Gong, I. Michael Ross, Wei Kang, Fariba Fahroo
Proceedings of the Eighth IASTED International Conference Intelligent Systems and Control
Cambridge, USA, Oct. 31-Nov. 2, 2005

Pseudospectral Methods for a Class of Discontinuous-Control Nonlinear Optimal Control Problems 
Wei Kang, Qi Gong and I. Michael Ross
Proceedings of IEEEConference on Decision and Control and European Control Conference
Page(s): 2799 – 2804, Seville, Spain, December 12-15, 2005

Convergence of Pseudospectral Methods for a Class of Discontinuous Optimal Control 
Qi Gong, I. Michael Ross, Wei Kang
Proceedings of 44th IEEE Conference on Decision and Control and European Control Conference 
page(s): 2799 – 2804, Dec. 12-15, 2005

A Pseudospectral Method for the Optimal Control of Constrained Feedback Linearizable Systems 
Qi Gong, I. Michael Ross, Wei Kang
Proceedings of IEEE Conference on Control Applications
Page(s): 1033 – 1038, Aug.28-31, 2005

Time-Optimal Nonlinear Feedback Control for the NPSAT1 Spacecraft 
Pooya Sekhavat, Andrew Fleming, I. Michael Ross
Proceedings of IEEE/ASME International Conference on Advanced Intelligent Mechatronics
Page(s): 843 – 850, July 24-28, 2005

A Pseudospectral Observer for Nonlinear Systems
Qi Gong, I. Michael Ross, Wei Kang
Proceedings of AIAA Guidance, Navigation, and Control Conference
Paper# AIAA-2005-5845, San Francisco, California, Aug. 15-18, 2005

Optimal Trajectory of a Glider in Ground Effect and Wind Shear Masanori Harada
M. Harada, Kevin Bollino,
Proceedings of AIAA Guidance, Navigation, and Control Conference
Paper# AIAA-2005-6474, San Francisco, California, Aug. 15-18, 2005

Dual Convergence of the Legendre Pseudospectral Method for Solving Nonlinear Constrained Optimal Control problems 
Qi Gong, I. Michael Ross, Wei Kang, Fariba Fahroo
Proceedings of Intelligent Systems and Control
Cambridge, USA, 2005

Optimal Trajectory Reconfiguration and Retargeting for a Reusable Launch Vehicle
Patrick Shaffer, I. Michael Ross, Dave Doman 
Proceedings of AIAA Guidance, Navigation, and Control Conference 
Aug. 2005

Minimum Fuel Circling for an Unmanned Aerial Vehicle
Masanori Harada, Kevin Bollino, I. Michael Ross
Proceedings of JSASS-KSAS Joint International Symposium on Aerospace Engineering
vol. 43, Nagoya, Japan, 2005

Convergence of Pseudospectral Methods for constrained Nonlinear Optimal Control problems 
Qi Gong, I. Michael Ross, Wei Kang, Fariba Fahroo
Proceedings of 44th IEEE Conference on Decision and Control, European Control Conference
Page(s): 2799- 2804, 2005

Pseudospectral methods for optimal motion planning of differentially flat systems
I. Michael Ross, Fariba Fahroo
IEEE Transactions on Automatic Control
vol. 49, no. 8 (1410-1413) 2004

Exploiting Higher-Order Derivatives in Computational Optimal Control
I. Michael Ross, Jeremy Rea, Fariba Fahroo
Proceedings of the 10th Mediterranean conference on control and Automation
Lisbon, Portugal, July 9-12, 2002

Discrete Verification of Necessary Conditions for Switched Nonlinear Optimal Control Systems
I. Michael Ross, Fariba Fahroo
Proceedings of American Control Conference
vol. 2, page(s):1610 – 1615, June 30-July 2, 2004

A Perspective on Methods for Trajectory Optimization
I. Michael Ross, Fariba Fahroo
Proceedings of AIAA Guidance, Navigation, and Control Conference
Paper# AIAA 2002-4727, Monterey, CA 93943, Aug. 5-8, 2002

How to Find Minimum-Fuel Controllers
I. Michael Ross
Proceedings of AIAA Guidance, Navigation, and Control Conference
Paper# AIAA 2004-5346, Providence, Rhode Island, Aug. 16-19, 2004

Design and Control of Libration Point Spacecraft Formations
Samantha I. Infeld, Scott B. Josselyn, Walter Murray, I. Michael Ross
Proceedings of AIAA Guidance, Navigation, and Control Conference
Paper# AIAA 2004-4786, Providence, Rhode Island, Aug. 16-19 2004

Optimal Guidance Command Generation and Tracking for Reusable Launch Vehicle Reentry 
Kevin P. Bollino, Michael W. Oppenheimer, David D. Doman
Proceedings of AIAA Guidance, Navigation, and Control Conference
Paper# AIAA 2006-6691, Keystone, Colorado, Aug. 21-24, 2004

A Unified Computational Framework for Real-Time Optimal Control
I. Michael Ross, Fariba Fahroo
Proceedings of 42nd IEEE Conference on Decision and Control 
vol. 3, page(s):2210 – 2215, 2003

A Direct Method for Solving Nonsmooth Optimal Control problems
I. Michael Ross, Fariba Fahroo
Proceedings of Proc. 2002 IFAC World Congress
Barcelona, Spain, page(s): 479-484, 2002

Designing Optimal Spacecraft Formations
I. Michael Ross, Jeffery T. King, Fariba Fahroo
Proceedings of AIAA Guidance, Navigation, and Control Conference
Paper# AIAA 2002-4635, Monterey, California, Aug. 5-8, 2002

A Perspective on Methods for Trajectory Optimization  
I. Michael Ross, Fariba Fahroo
Proceedings of AIAA/AAS- Astrodynamics Specialist Conference
Paper# AIAA-2002-4727, Monterey, California, Aug. 5-8, 2002

Designing Optimal Spacecraft Formations  
I. Michael Ross, Jeff King, Fariba Fahroo,
Proceedings of AIAA/AAS - Astrodynamics Specialist Conference 
Paper# AIAA-2002-4635, Monterey, California, Aug. 5-8, 2002

Real-Time Computation of Neighboring Optimal Control Laws 
Hui Yan, Fariba Fahroo, I. Michael Ross,
Proceedings of AIAA- Guidance, Navigation, and Control Conference 
Paper# AIAA-2002-4657, Monterey, California, Aug. 5-8, 2002

Towards Real-Time Computation of Optimal Controls for Nonlinear Systems
John Strizzi, I. Michael Ross, Fariba Fahroo,
Proceedings of AIAA- Guidance, Navigation, and Control Conference
Paper# AIAA-2002-4945, Monterey, California, Aug. 5-8, 2002

Optimal Feedback Control Laws by Legendre Pseudospectral Approximations
Hui Yan, I. Michael Ross, Fariba Fahroo
Proceedings of American Control Conference
vol. 3, page(s): 2388 – 2393, 2001

Convergence of Pseudospectral Discretizations of Optimal Control Problems
I. Michael Ross, Fariba Fahroo
Proceedings of 40th IEEE Conference on Decision and Control
vol.4, page(s):3175 – 3177, 2001

Direct Trajectory Optimization by a Chebyshev Pseudospectral Method
Fariba Fahroo, I. Michael Ross
Proceedings of American Control Conference
vol. 6, page(s):3860 – 3864, 2000

Costate Estimation by a Legendre Pseudospectral Method
Fariba Fahroo, I. Michael Ross
Proceedings of AIAA Guidance, Navigation, and Control Conference
Paper# AIAA-98-4222, Monterey, CA 93943, 1998

Dynamics and Control problems in the defection of near earth object
Christopher D. Hall and I. Michael Ross
Proceedings of AIAA/AAS- Astrodynamics Specialist Conference
Paper# AAS 97-640,

A Historical Introduction to the Covector Mapping Principle
I. Michael Ross
Proceedings of AstrodynamicsSpecialists Conference