H∞ optimal stabilization of a class of uncertain impulsive systems: An LMI approach

Journal of Industrial and Management Optimization

Volumn 5, Issue 1, 2009, Pages 153-159

  Xu, Honglei ^a,b   Teo, Kok Lay ^a  

^a CURTIN UNIVERSITY   (Australia)

^b GUIZHOU UNIVERSITY   (China)

Author keywords

H control; Impulsive systems; Robust optimal control

Indexed keywords

EID: 64849113689     PISSN: 15475816     EISSN: 1553166X     Source Type: Journal    
DOI: 10.3934/jimo.2009.5.153     Document Type: Conference Paper

References (11)

1. T. Yang, Impulsive control, IEEE Transactions on Automatic Control, 44 (1999), 1081-1083.
2. X. Liu and K. L. Teo, Impulsive control of chaotic system, International Journal of Bifurcation and Chaos, 12 (2002), 1181-1190.
3. V. Lakshmikantham, D. D. Bainov and P. S. Simeonov, "Theory of Impulsive Differential Equations," 2nd edition, World Scientific-Singapore, 1989.
4. H. Xu, X. Liu and K. L. Teo, Delay independent stability criteria of impulsive switched systems with time-invariant delays, Mathematical and Computer Modelling, 47 (2008), 372- 379.
5. H. Xu, X. Liu and K. L. Teo, Robust H∞ stabilization with definite attendance of uncertain impulsive switched systems, Journal of ANZIAM, 46 (2005), 471-484.
6. H. Xu, X. Liu and K. L. Teo, A LMI approach to stability analysis and synthesis of impulsive switched systems with time delays, Nonlinear Analysis: Hybrid Systems, 2 (2008), 38-50.
7. S. P. Boyd, L. E. Ghaoui, E. Feron, and V. Balakrishnam, "Linear Matrix Inequalities in System and Control Theory," Philadelphia, PA: SIAM, 1994.
8. Z. G. Li, C. Y. Wen and Y. C. Soh, Analysis and design of impulsive control systems, IEEE Transactions on Automatic Control, 46 (2001), 894-899.
9. G. Ballinger, X. Liu, Existence and uniqueness results for impulsive delay differential equations, Dynam. Contin. Discrete Impuls. Syst., 5 (1999), 579-591.
10. Z. Guan, J. Yao, and D. J. Hill, Robust H∞ control of singular impulsive systems, IEEE Transactions on Circuits and Systems-II: Express Briefs, 52 (2005), 293-297.
11. H. Xu, K. L. Teo and X. Liu, Robust stability analysis of guaranteed cost control for impulsive switched systems, IEEE Transactions on Systems, Man, and Cybernetics-Part B: Cybernetics, 38 (2008), 1419-1422.