On the JLQ problem with uncertainty

IEEE Transactions on Automatic Control

Volumn 42, Issue 6, 1997, Pages 869-872

  Bernard, F ^a   Dufour, F ^a   Bertrand, P ^a  

^a UNIV PARIS SUD   (France)

Author keywords

Jumping parameters; Linear matrix inequalities; Robust control

Indexed keywords

MATRIX ALGEBRA; OPTIMAL CONTROL SYSTEMS; OPTIMIZATION; PARAMETER ESTIMATION; PROBLEM SOLVING; RICCATI EQUATIONS; ROBUSTNESS (CONTROL SYSTEMS); THEOREM PROVING;

JUMPING PARAMETERS LINEAR QUADRATIC (JLQ); LINEAR MATRIX INEQUALITIES (LMI);

LINEAR CONTROL SYSTEMS;

EID: 0031168624     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/9.587347     Document Type: Article

References (11)

1. A. Trofino Neto, J. M. Dion, and L. Dugard, "Robustness bounds for LQ regulators," IEEE Trans. Automat. Contr., vol. 37, pp. 1373-1377, Sept. 1992.
2. A. Trofino Neto, L. Dugard, and J. M. Dion, "Controller design for robust performance of systems with structured sector bounded uncertainty," in Proc. 32nd IEEE Conf. Decision Contr., San Antonio, TX, pp. 2778-2583, Dec. 1993.
3. E. Kreindler and A. Jameson, "Conditions for nonnegativeness of partitionned matrices," IEEE Trans. Automat. Contr., vol. AC-17, p. 147, Feb. 1972.
4. M. G. Safonov and M. Athans, "Gain and phase margin for multiloop LQG regulators," IEEE Trans. Automat. Contr., vol. AC-22, pp. 173-179, Apr. 1977.
5. R. V. Patel, M. Toda, and B. Shridhar, "Robustness of linear quadratic state feedback designs in the presence of system uncertainty," IEEE Trans. Automat. Contr., vol. AC-22, pp. 945-949, Dec. 1977.
6. E. Soroka and U. Shaked, "On the robustness of LQ regulators," IEEE Trans. Automat. Contr., vol. AC-29, pp. 664-665, July 1984.
7. H. Abou-Kandil, G. Freiling, and G. Jank, "Solution and asymptotic behavior of coupled Riccati equations in jump linear systems," IEEE Trans. Automat. Contr., vol. 39, pp. 1631-1636, Aug. 1994.
8. F. Dufour, "Contribution to the study of linear systems with Markovian jumps," Ph.D. dissertation (in French), Paris XI-Orsay Univ., 1994.
9. S. Boyd, L. El Ghaoui, E. Feron, and V. Balakrishnan, Linear Matrix Inequalities in System and Control Theory. Philadelphia, PA: SIAM, 1994.
10. J. M. Sianuck and I. B. Rhodes, "A matrix inequality associated with bounds on solutions of algebraic Riccati and Lyapunov equations," IEEE Trans. Automat. Contr., vol. AC-32, pp. 739-740, Aug. 1987.
11. W. H. Kwon and E. Pearson, "A note on the algebraic matrix Riccati equation," IEEE Trans. Automat. Contr., vol. AC-22, pp. 143-144, Feb. 1977.