Suboptimal robust mixed H2/H∞ controller design for uncertain descriptor systems with distributed delays

Computers and Mathematics with Applications

Volumn 47, Issue 6-7, 2004, Pages 1041-1055

  Yue, Dong ^a   Lam, James ^b  

^a NANJING NORMAL UNIVERSITY   (China)

^b UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

Descriptor system; Robust control; Stability; Time delay

Indexed keywords

ALGORITHMS; BOUNDARY VALUE PROBLEMS; CLOSED LOOP CONTROL SYSTEMS; MATHEMATICAL MODELS; MATHEMATICAL TRANSFORMATIONS; MATRIX ALGEBRA; OPTIMIZATION; PERTURBATION TECHNIQUES; PROBLEM SOLVING; ROBUSTNESS (CONTROL SYSTEMS); TIME VARYING CONTROL SYSTEMS;

DESCRIPTOR SYSTEM; ROBUST CONROL; TIME DELAY;

OPTIMAL CONTROL SYSTEMS;

EID: 2542584596     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0898-1221(04)90085-5     Document Type: Article

References (19)

1. L. Dai, Singular Control Systems, Lecture Notes in Control and Information Sciences, Springer-Verlag, New York, (1989).
2. E. Fridman and U. Shaked, H∞ control of linear state delay descriptor systems: An LMI approach, Linear Algebra & Its Applications 351-362, 271-302, (2002).
3. th World Congress, Volume L, pp. 79-84, (1996).
4. Y. Li and Y. Liu, Stability of solution of generalized functional equations, (in Chinese), Acta Appl. Math. 22, 130-138, (1999).
5. S. Xu, P. Van Dooren, R. Stefan and J. Lam, Robust stability and stabilization for singular systems with state delay and parameter uncertainty, IEEE Transactions on Automatic Control 47 (7), 1122-1128, (2002).
6. S. Xu, J. Lam and C. Yang, Robust H∞ control for discrete singular systems with state delay and parameter uncertainty, Dynamics of Continuous, Discrete and Impulsive Systems 9 (4), 539-554, (2002).
7. S. Xu and C. Yang, H∞ state feedback control for discrete singular systems., IEEE Transactions on Automatic Control, 45 1405-1409, (2000).
8. 2 and H∞ control problems, IEEE Transactions on Automatic Control 34, 831-847, (1989).
9. 2 and H∞ performance objectives: Optimal control, IEEE Transactions on Automatic Control 37, 1575-1587, (1994).
10. 2/H∞ control: A convex optimization approach, IEEE Transactions on Automatic Control 36, 824-837, (1991).
11. 2/H∞ control of time-varying delay systems, International Journal of Systems Science 32, 1345-1351, (2001).
12. 2 optimal control with an H∞ constraint: The state feedback case, Automatica 27, 307-316, (1991).
13. F. Zheng, M. Cheng and W. Gao, Variable structure control of time delay systems with a simulation study on stabilizing combustion in liquid propellant rocket motors, Automatica 31, 1031-1037, (1995).
14. F. Zheng and P.M. Frank, Robust control of uncertain distributed delay system with application to the stabilization of combustion in rocket motor chambers, Automatica 38, 487-497, (2002).
15. Y.Y. Cao, Y.X. Sun and J. Lam, Delay dependent robust H∞ control for uncertain systems with time varying delays, IEE Proceedings: Control Theory and Applications 143 (3), 338-344, (1998).
16. C.A. Desoer and M. Vidyasagar, Feedback Systems: Input-Output Properties, Academic Press, New York, (1975).
17. J. Yoneyama and A. Ichikawa, H∞ control for Takagi-Sugeno fuzzy descriptor systems, In Proceedings of IEEE Conference on Systems, Man, and Cybernetics, pp. III28-III33, Tokyo, (1999).
18. X. Mao, N. Koroleva and A. Rodkina, Robust stability of uncertain stochastic differential delay equations, Systems and Control Letters 35, 325-336, (1998).
19. S. Boyd, L. El Ghaoui, E. Feron and V. Balakrishnan, Linear Matrix Inequalities in System and Control Theory, SIAM, Philadelphia, PA, (1994).