Robust H∞ Control of Singular Impulsive Systems With Uncertain Perturbations

IEEE Transactions on Circuits and Systems II: Express Briefs

Volumn 52, Issue 6, 2005, Pages 293-298

  Hill, David J ^b   Yao, Jing ^a  

^a HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

^b AUSTRALIAN NATIONAL UNIVERSITY   (Australia)

Author keywords

H control; Riccati inequality; robustness; singular impulsive systems

Indexed keywords

CLOSED LOOP CONTROL SYSTEMS; COMPUTER SIMULATION; CONTROL SYSTEM SYNTHESIS; FEEDBACK CONTROL; LINEAR CONTROL SYSTEMS; PERTURBATION TECHNIQUES; RICCATI EQUATIONS; ROBUSTNESS (CONTROL SYSTEMS); STATE FEEDBACK; THEOREM PROVING; UNCERTAIN SYSTEMS;

RICCATI INEQUALITY; ROBUST IMPULSIVE CONTROLLER; SINGULAR IMPULSIVE SYSTEMS; UNCERTAIN PERTURBATIONS;

OPTIMAL CONTROL SYSTEMS;

EID: 22244480346     PISSN: 15497747     EISSN: 15583791     Source Type: Journal    
DOI: 10.1109/TCSII.2005.848959     Document Type: Article

References (22)

1. J. D. Aplevich, Implicit Linear Systems. New York: Springer-Verlag, 1991.
2. K. E. Brenam, S. L. Campbell, and L. R. Petzold, Numerical Solution of Initial Value Problems in Differential-Algebraical Equations. New York: Elsevier, 1989.
3. D. D. Bainov and P. S. Simeonov, Stability Theory of Differential Equations with Impulse Effects: Theory and Applications. Chichester, U.K.: Ellis Horwood, 1989.
4. S. L. Campbell, Singular Systems of Differential Equations. New York: Pitman, 1982, vol. 2.
5. S. L. Campbell, “Descriptor systems in the 90's,” in Proc. 29th Conf. Decis. Contr., Hawaii, HI, Dec. 1990, pp. 442–447.
6. L. Dai, Singular Control Systems. New York: Springer-Verlag, 1989.
7. V. Dolezai, “Generalized solution of semistate equations and stability,” Circuits Syst. Signal Process., vol. 5, no. 4, pp. 391–403, 1986.
8. A. K. Gelig and A. N. Churilov, Stability and Oscillations of Nonlinear Pulse-Modulated Systems. Boston, MA: Birkhauser, 1998.
9. Z. H. Guan, Y. Q. Liu, and X. C. Wen, “Decentralized stabilization of singular and time-delay large scale control systems with impulsive solutions,” IEEE Trans. Autom. Contr., vol. 40, no. 8, pp. 1437–1441, Aug. 1995.
10. Z. H. Guan, C. W. Chan, A. Y. T. Leung, and G. Chen, “Robust stabilization of singular impulsive delayed systems with nonlinear perturbations,” IEEE Trans. Circuits Syst., vol. 48, no. 8, pp. 1011–1019, Aug. 2001.
11. Z. H. Guan, T. H. Qian, and X. Yu, “On controllability and observability for a class of impulsive systems,” Syst. Contr. Lett., vol. 47, no. 3, pp. 247–257, 2002.
12. V. Lakshmikantham, D. D. Bainov, and P. S. Simeonov, Theory of Impulse Differential Equations. Singapore: World Scientific, 1989.
13. Y. Q. Liu and Z. H. Guan, Stability, Stabilization, and Control of Measure Large-Scale Systems with Impulses. Guangzhou, China: The South China University of Technology Press, 1996.
14. Y. Q. Liu, Z. H. Guan, and X. C. Wen, “The application of auxiliary simultaneous equations to problem in the stabilization of singular and impulsive large scale systems,” IEEE Trans. Circuits Syst., vol. 42, no. 1, pp. 46–51, Jan. 1995.
15. Y. Li and Y. Liu, “Bifurcation on stability of singular systems with delay,” Int. J. Syst. Sci., vol. 30, no. 6, 1999.
16. W. Q. Liu, W. Y. Yan, and K. L. Teo, “On initial instantaneous jumps of singular systems,” IEEE Trans.Autom. Contr., vol. 40, no. 9, pp. 1650–1655, Sep. 1995.
17. D. G. Luenberger, “Dynamic equation in descriptor form,” IEEE Trans. Autom. Contr., vol. AC-22, no. 3, pp. 312–321, Mar. 1977.
18. A. Khadra, X. Liu, and X. Shen, “Application of impulsive synchronization to communication security,” IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol. 50, no. 3, pp. 341–350, Mar. 2003.
19. ∞ control for descriptor systems: A matrix inequalities approach,” Automatica, vol. 33, pp. 669–673, 1997.
20. T. Yang, Impulsive Control Theory. Berlin, Germany: Spinger-Verlag, 2001, vol. 272.
21. ∞ control of descriptor systems,” in Proc. 38th IEEE Conf. Decision Control, Phoenix, AZ, Dec. 1999, pp. 4092–4097.
22. S. Xu, P. Van Dooren, R. Stefan, and J. Lam, “Robust stability and stabilization for singular systems with state delay and parameter uncertainty,” IEEE Trans. Autom. Contr., vol. 47, no. 12, pp. 1122–1128, Dec. 2002.