A game theory approach to mixed ℋ2/ℋ H∞ control for a class of stochastic time-varying systems with randomly occurring nonlinearities

Systems and Control Letters

Volumn 60, Issue 12, 2011, Pages 1009-1015

  Ma, Lifeng ^a   Wang, Zidong ^b   Bo, Yuming ^a   Guo, Zhi ^a  

^a NANJING UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

^b BRUNEL UNIVERSITY   (United Kingdom)

Author keywords

Discrete time varying systems; Game theory; Mixed 2 H control; Nonlinear stochastic systems; Randomly occurring nonlinearities

Indexed keywords

BERNOULLI; CONTROL PROBLEMS; CONTROLLER GAIN; COUPLED MATRIX EQUATIONS; DISCRETE TIME-VARYING SYSTEMS; DISTURBANCE ATTENUATION LEVELS; NON-LINEAR STOCHASTIC SYSTEMS; NON-LINEARITY; NUMERICAL EXAMPLE; PERFORMANCE REQUIREMENTS; STATISTICAL MEAN; SUFFICIENT CONDITIONS; TIME VARYING;

CONTROLLERS; GAME THEORY; MATRIX ALGEBRA; NUMERICAL METHODS; ROBUSTNESS (CONTROL SYSTEMS); STOCHASTIC SYSTEMS;

CONTROL NONLINEARITIES;

EID: 80054077895     PISSN: 01676911     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.sysconle.2011.08.009     Document Type: Article

References (25)

1. H∞ filtering for uncertain discrete-time systems Automatica 40 5 2004 873 880
2. H∞ filtering for systems with repeated scalar nonlinearities IEEE Transactions on Signal Processing 53 11 2005 4215 4226 (Pubitemid 41622553)
3. H∞ filtering for stochastic time-delay systems with missing measurements IEEE Transactions on Signal Processing 54 7 2006 2579 2587
4. H∞ filtering for uncertain stochastic time-delay systems with sector-bounded nonlinearities Automatica 44 2008 1268 1277
5. H∞ filtering for polytopic discrete-time systems IEEE Transactions on Signal Processing 53 8 2005 3183 3192 (Pubitemid 41372826)
6. H∞ seetting Proceedings of IEEE Conference on Decision and Control 2003 1461 1466
7. H∞ filtering theory and an aerospace application International Journal of Robust and Nonlinear Control 6 4 1996 347 366 (Pubitemid 126640845)
8. H∞ state-feedback design for microsatelite attitude control Control Engineering Practice 10 2002 951 970 (Pubitemid 35162020)
9. H∞ performance bound: a riccati equation approach IEEE Transactions on Automatic Control 34 3 1989 293 305
10. H∞ control design SIMA Journal of Control optimization 40 2 2001 628 660
11. H∞ control: a convex optimization approach IEEE Transactions on Automatic Control 36 7 1994 824 837
12. C. Scherer, P. Gahient, and M. Chilali Multiobjective outputfeedback control via LMI optimization IEEE Transactions on Automatic Control 42 1997 896 911 (Pubitemid 127826249)
13. H∞ error bound Systems & Control Letters 12 1 1989 9 16
14. H∞ estimation International Journal of Robust and Nonlinear Control 6 4 1996 331 345 (Pubitemid 126640844)
15. H∞ control of nonlinear systems 1995 New Orleans LA 333338
16. H∞ fuzzy output feedback control design for nonlinear dynamic systems: an LMI approach IEEE Transactions on Fuzzy Systems 49 1 2008 45 57
17. H∞ control with state-dependent noise IEEE Transactions on Automatic Control 34 3 2004 293 305
18. H∞ control for a class of nonlinear discrete time-delay stochastic systems with missing measurements Automatica 45 3 2009 684 691
19. H∞ filtering for uncertain systems with reginal pole assignment IEEE Transactions on Aerospace and Electronic Systems 41 2 2005 438 448 (Pubitemid 41301171)
20. H∞ control for a class of nonlinear stochastic systems IEE Proceedings on Control Theory Applications 153 2 2006 175 184 (Pubitemid 43235102)
21. 2 control for discrete-time systems with state and disturbance dependent noise Automatica 43 2007 513 521 (Pubitemid 46209055)
22. H∞ finite-horizon filtering with randomly occurred nonlinearities and quantization effects Automatica 46 2010 1743 1751
23. E. Yaz On the optimal state estimation of a class of discrete-time nonlinear systems IEEE Transactions on Automatic Control 34 9 1987 1127 1129
24. M.Y. Chow, and Y. Tipsuwan Gain scheduling of networked dc motor controllers based on qos variations IEEE Transactions on Industrial Electronics 50 5 2003 936 943
25. S.H. Hong Scheduling algorithm of data sampling times in the integrated communication and control systems IEEE Transactions on Control System Technology 3 2 1995 225 231