A Riccati equation approach to the optimal guaranteed cost control of uncertain systems with structured uncertainty

IDC 1999 - 1999 Information, Decision and Control, Data and Information Fusion Symposium, Signal Processing and Communications Symposium and Decision and Control Symposium: Proceedings

Volumn , Issue , 1999, Pages 277-282

  Esfahani, S H ^a   Petersen, I R ^a  

^a UNIVERSITY OF NEW SOUTH WALES   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

COSTS; LINEAR ALGEBRA; RICCATI EQUATIONS; SIGNAL PROCESSING; UNCERTAIN SYSTEMS;

DIAGONAL ELEMENTS; GUARANTEED COST CONTROLLER; MATRIX FUNCTIONS; OPTIMAL GUARANTEED COST CONTROLS; OPTIMAL GUARANTEED COSTS; POSITIVE DEFINITE DIAGONAL MATRIX; STABILIZING SOLUTIONS; STRUCTURED UNCERTAINTIES;

CONTROLLERS;

EID: 0038634089     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/IDC.1999.754170     Document Type: Conference Paper

References (14)

1. B.R. Barmish, "Stabilization of Uncertain Systems via Linear Control, " IEEE Transaction on Automatic Control, 28, 848-850, 1983.
2. I.R. Petersen and C.V. Hollot, "A Riccati Eqnation Approach to the Stabilization of Uncertain Linear Systems, " Automatica, 22, 397-411, 1986.
3. I.R. Petersen, "A Stabilization. Algorithm for a Class of Uncertain Linear Systems, " Systems and Control Letters, 8, 351-357, 1987.
4. P.P. Khargonekar, I.R. Petersen and K. Zhoa " Robust Stabilization of Uncertain Systems and H, Optimal Control, " IEEE Transaction on Automatic Control, 35, 356-361, 1990.
5. S.S.L. Chang and T.K.C. Peng, "Adaptive Guaranteed Cost Control of Systems with Uncertain Parameters, " IEEE Transaction on Automatic Control, 17, 474-483, 1972.
6. I.R. Petersen and D.C. McFarlane, "Optimal Guaranteed Cost Control and Filtering for Uncertain Linear Systems, " IEEE Transaction on Automatic Control, 39, 1971-1977, 1994.
7. I.R. Petersen, "Guaranteed Cost LQG Control of Uncertain Linear Systems, " IEE Proc.-Control Theory Appl., 142, N0.2, 95-102, 1995.
8. C. Scherer, "Ha Control by State Feedback for Plants with Zeros on the Imaginary Axis, " SIAM J. Control and Optimization, 30, No. 1, 123-142, 1992.
9. S.P. Boyd, L. El Ghaoui, E. Feron, and V. Balakrishnan, Linear Matrix Inequalities in Systems and Control Theory, SIAM, 1994.
10. M.S. Bazaraa and C.M. Shetty, Nonlinear Programming, Theory and Algorithm, John Wiley and Sons, 1979.
11. K. Zhou, J.C. Doyle, and K. Glover, Robust and Optimal Control, Prentice-Hall, 1996.
12. B. Noble and J.W. Daniel, Applied Linear Algebra, Prentice-Hall, 1977.
13. C. Marsh, Personal Communication, 1996.
14. P. Milliken, C. Marsh and B.V. Brunt, " State feedback Minimax and Guaranteed Cost Controllers for Linear Systems with Integral Quadratic Constraint Uncertainty Descriptions, , Proceedings of the 2nd IFA C Symposium on Robust Control Design, Budapest, 381-386, 1997.