A fixed-order, mixed H2/L1 control synthesis method for continuous linear systems

1996 Guidance, Navigation, and Control Conference and Exhibit

Volumn , Issue , 1996, Pages 1-11

  Spillman, Mark S ^a   Ridgely, Brett ^a  

^a AIR FORCE INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

FLIGHT CONTROL SYSTEMS; LINEAR SYSTEMS; MULTIOBJECTIVE OPTIMIZATION;

ANALYTICAL GRADIENTS; CONTROL SYNTHESIS; FIXED-ORDER; L1 NORM; MULTI-OBJECTIVE OPTIMIZATION PROBLEM; NUMERICAL APPROACHES; OPTIMIZATION METHOD; SYSTEM DESIGNERS;

AIRCRAFT CONTROL;

EID: 84959152849     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2514/6.1996-3735     Document Type: Conference Paper

References (23)

1. D. Mustafa and K. Glover, “Controllers which Satisfy a Closed-Loop ifoo-norm Bound and Maximize an Entropy Integral,” in Proceedings of the 27th Conference on Decision and Control, (Austin TX), pp. 959-964, December 1988.
2. ∞Performance Bound: A Riccati Equation Approach,” IEEE Trans. Auto. Con­trol, vol. AC-34, pp. 293-305, March 1989.
3. J. Doyle, K. Zhou, and B. Bodenheimer, “Op­timal Control with Mixed Hi and Hca Perfor­mance Objectives,” in Proceedings of American Control Conference, (Pittsburgh PA), pp. 2065­2070, June 1989.
4. D. Mustafa and K. Glover, “Minimum Entropy Hrxi Control,” in Lecture Notes in Control & In­formation Sciences, Springer-Verlag, 1990.
5. H. H. Yeh, S. S. Banda, and B.-C. Chang, “Neces­sary and Sufficient Conditions for Mixed Hi and Hoa Optimal Control,” in Proceedings of the 29th Conference on Decision and Control, (Honolulu HI), pp. 1013-1017, December 1990.
6. K. Zhou, J. Doyle, K. Glover, and B. Bodenheimer, “Mixed Hi and Control,” in Proceed­ings of the American Control Conference, (San Diego CA), pp. 2502-2507, May 1990.
7. ∞-Control: A Convex Optimization Ap­proach,” IEEE Trans. Auto. Control, vol. AC-36, pp. 824-837, July 1991.
8. D. E. Walker, Hi Optimal Control with Hca, V, and Li Constraints. PhD thesis, Air Force Insti­tute of Technology, WPAFB, OH, June 1994.
9. ∞Control,” in Pro­ceedings of the 33rd Conference on Decision and Control, (Lake Buena Vista FL), pp. 3173-3174, December 1994.
10. D. E. Walker and D. B. Ridgely, “A New Nu­merical Method for the General Mixed Optimal Control Problem.” Preprint, 1994.
11. D. E. Walker and D. B. Ridgely, “Fixed Order Mixed Hi/Hoo Optimization with Multiple Hoo Constraints.” Submitted to the AIAA Journal of Guidance, Control and Dyanmics, 1994.
12. U. L. Ly and E. Schomig, “A New Approach to Mixed HijEoa Controller Synthesis Using Gra­dient Based Parameter Optimization Methods.” University of Washington, Final Technical Re­port under NASA grant contract NAG-2-629, 1993.
13. M. Vidyasagar, “Optimal Rejection of Persis­tent Bounded Disturbances,” IEEE Trans. Auto. Control, vol. AC-31, pp. 527-534, Jun 1986.
14. 1 Optimal Feedback Controllers for MIMO Discrete-Time Systems,” IEEE Trans. Auto. Control, Apr 1987.
15. M. A. Dahleh and I. J. Diaz-Bobillo, Control of Uncertain Systems: A Linear Programming Ap­proach. Prentice-Hall, 1994.
16. P. Voulgaris, “OptimalControl: The SISO Case,” in Proceedings of the 33rd Conference on Decision and Control, (Lake Buena Vista FL), pp. 3181-3186, December 1994.
17. D. R. Jacques and D. B. Ridgely, “A Fixed- Order, Mixed-Norm Control Synthesis Method for Discrete Linear Systems,” in Proceedings of the American Control Conference, (Seattle, WA), 1995.
18. Nelson, “Simplified Calculation of Eigenvector Derivatives,” AIAA Journal, vol. 14, pp. 1201-1205 Septfimber_1976.
19. D. R. Jacques, D. B. Ridgely, R. A. Canfield, and M. S. Spillman, “A MATLAB Toolbox for Fixed- Order, Mixed-Norm Control Synthesis,” in Pro­ceedings of the 4th IEEE Conference on Control Applications, (Albany, NY), 1995.
20. K. Schittkowski, “NLPQP: A FORTRAN Sub­routine Solving Constrained Nonlinear Program­ming Problems,” in Annals of Operation Re­search, pp. 485-500, J. C. Baltzer A. G., Scientific Publishing Company, 1985/6.
21. J. Luke, “Flight Controller Design Using Mixed H2/H00 Optimization with a Singular H00 Con­straint,” Master’s thesis, Air Force Institute of Technology, WPAFB, OH, December 1993.
22. G. F. Franklin, J. D. Powell, and A. Emami- Naeini, Feedback Control of Dyanmic Systems. Addison-Wesley Publishing Company. Inc., 1991.
23. D. B. Ridgely and S. S. Banda, Introduction to Robust Multivariable Control. AFWAL-TR-85- 3102, USAF, 1986.