Pseudospectral Optimal Control

Advances in Pseudospectral Methods for Optimal Control, AIAA Guidance, Navigation and Control Conference, August, 2008.

Costate Computation by a Chebyshev Pseudospectral Method, Journal of Guidance, Control,  and Dynamics, March-April 2010.

Convergence of the Costates Does Not Imply Convergence of the Control, Journal of Guidance, Control and Dynamics, September – October 2008.

Hybrid Optimal Control Framework for Mission Planning, Journal of Guidance, Control, and Dynamics, July- August 2005.

Legendre Pseudospectral Approximations of Optimal Control Problems, Control and Information Sciences Lecture Notes, 2003.

Pseudospectral Knotting Methods for Solving Optimal Control Problems, Journal of Guidance, Control, and Dynamics, May-June 2004.

Pseudospectral Methods for Infinite-Horizon Control Problems, Journal of Guidance, Control, and Dynamics, July-August 2008.

Pseudospectral Optimal Control on Arbitrary Grids, AAS/AIAA Astrodynamics Specialists Conference, August, 2009.

Pseudospectral Optimal Control – A Clear Road for Autonomous Intelligent Path Planning, AIAA  2007 Conference, May 2007.

Spectral Algorithm for Pseudospectral Methods in Optimal Control, Journal of Guidance, Control and Dynamics,  31 (3), May – June 2008. 

Triangle Formation and Design in Eccentric Orbits Using Pseudospectral Optimal Control, AIAA/AAS Astrodynamics Specialist Conference, August, 2008.

Autonomous Systems

Our optimal control software has revitalized research conducted in the world of autonomous path planning and intelligent robotics. Some recent breakthroughs in this field can be found in:

An Info-Centric Trajectory Planner for Unmanned Ground Vehicles, Book Chapter in Dynamics of Information Systems: Theory and Applications, 2009.

Pseudospectral Optimal Control: A Clear Road for Autonomous Intelligent Path Planning, Proceedings of AIAA- Infotech@Aerospace Conference and Exhibit, Paper# AIAA-2007-2831, 2007.

Research work using Elissar Global products has also lead to a revolutionary optimal feedback control method that is implementable on virtually any system.

Optimal Feedback Control: Foundations, Examples, and Experimental Results for a New Approach, Journal of Guidance, Control, and Dynamics, vol. 31, no. 2 (307-321), 2008.

Issues in the Real-Time Computation of Optimal Control, Mathematical and Computer Modeling, 43, pp. 1172-1188, 2006.

 

Space

Elissar Global products have been most extensively utilized in space applications. The general-purpose feature of our software products has made it possible to solve virtually every optimal control problem that can be mathematically formulated. Some examples of such space-related problems solved by the research community over the past decade are listed below:

Attitude Maneuvering

Zero-Prop Maneuver Space Station Demonstration, Proceedings of AIAA-Guidance, Navigation, and Control Conference and Exhibit, 2007.

Pseudospectral Feedback Control for Three-Axis Magnetic Attitude Stabilization in Elliptic Orbits, Journal of Guidance, Control, and Dynamics, 30 (4), pp.1107-1115, 2007.

Time-Optimal Nonlinear Feedback Control for the NPSAT1 Spacecraft, Proceedings of IEEE/ASME International Conference on Advanced Intelligent Mechatronics, pp. 843-850, 2005.

Spacecraft Entry Guidance

Optimal Trajectory Reconfiguration and Retargeting for Reusable Launch Vehicles, Journal of Guidance, Control, and Dynamics, 30 (6), 1794-1802, 2007.

A Pseudospectral Feedback Method for Real-Time Optimal Guidance of Reentry Vehicles, Proceedings of American Control Conference, pp.3861-3867, 2007.

Optimal Guidance Command Generation and Tracking for Reusable Launch Vehicle Reentry, Proceedings of AIAA-Guidance, Navigation, and Control Conference and Exhibit, Paper # AIAA-2006-6691, 2006.

Rapid Verification Method for the Trajectory Optimization of Reentry Vehicles, Journal of Guidance, Control, and Dynamics, 26 (3), pp.505-508, 2003.

Spacecraft Formation Design and Control

Design and Control of Libration Point Spacecraft Formations,Journal of Guidance, Control, and Dynamics, 30 (4), pp.899-909, 2007.

Designing Optimal Spacecraft Formations, Proceedings of AIAA/AAS – Astrodynamics Specialist Conference, Paper # AIAA-2002-4635, 2002.

Trajectory Optimization

Low-Thrust, High-Accuracy Trajectory Optimization, Journal of Guidance, Control, and Dynamics, 30 (4), pp.921-933, 2007.

Direct Trajectory Optimization by a Chebyshev Pseudospectral Method, Journal of Guidance, Control, and Dynamics, 25 (1), pp.160-166, 2002.

Space Trajectory Optimization and L1-Optimal Control Problems, Modern Astrodynamics, pp. 155-188, 2006.

A Perspective on Methods for Trajectory Optimization, Proceedings of AIAA/AAS- Astrodynamics Specialist Conference, Paper # AIAA-2002-4727, 2002.

Optimal Trajectories for Soft Landing on Asteroids, AE8900 MS Special Problems Report, Georgia Institute of Technology, 2006.

Optimization of Mission Design for Constrained Libration Point Space Mission, Ph.D. dissertation, Stanford University, 2005.

Aerial Systems

Elissar Global products have been used in many air-system applications. Below is a sample list of the most recent works:

Collision-Free Multi-UAV Optimal Path Planning and Cooperative Control for Tactical Applications, AIAA Guidance, Navigation and Control Conference and Exhibit, Paper # AIAA-2008-7134, 2008.

Optimal Path Planning and Control of Tactical Unmanned Aerial Vehicles in Urban Environments, Proceedings of AUVSI’s Unmanned Systems North America, 2007.

Optimal Trajectory of a Glider in Ground Effect and Wind Shear, Proceedings of AIAA Guidance, Navigation, and Control Conference, Paper # AIAA-2005-6474, 2005.

Optimal Trajectory of a Glider in Ground Effect and Wind Shear, Proceedings of AIAA Guidance, Navigation, and Control Conference, Paper# AIAA-2005-6474, 2005.

Minimum Fuel Circling for an Unmanned Aerial Vehicle, Proceedings of JSASS-KSAS Joint International Symposium on Aerospace Engineering, vol. 43, Nagoya, Japan, 2005.

 

Surface Systems

Issues on UGV Optimal Motion Planning and Obstacle Avoidance, AIAA Infotech@Aerospace Conference and Exhibit and AIAA Unmanned…Unlimited Conference and Exhibit, 2009.

An Info-Centric Trajectory Planner for Unmanned Ground Vehicles, International Conference on the Dynamics of Information Systems, 2009.

Autonomous Trajectory Planning Using Real-Time Information Updates
AIAA Guidance, Navigation and Control Conference and Exhibit, Paper # AIAA-2008-6305, 2008

Pseudospectral Motion Planning Techniques for Autonomous Obstacle Avoidance, 46th IEEE Conference or Decision and Control, 2007.

Pseudospectral Methods for Optimal Motion Planning of Differentially Flat Systems,IEEE Transactions on Automatic Control, 49 (8), 1410 -1413, 2004.

Underwater Systems

Optimal Control of an Undersea Glider in a Symmetric Pull-Up, Virginia Center for Autonomous Systems Report No. 2008-03, 2008.