Robust H ∞ filtering for uncertain time-delay systems: Matrix inequality approach

Journal of Optimization Theory and Applications

Volumn 129, Issue 2, 2006, Pages 309-324

  Kwon, O M ^a   Park, J H ^b  

^a Chungbuk National University   (South Korea)

^b Yeungnam University   (South Korea)

Author keywords

H filtering; Lyapunov methods; Matrix inequalities; Time delay systems; Uncertainties

Indexed keywords

CONVEX OPTIMIZATION; DELAY CONTROL SYSTEMS; LINEAR MATRIX INEQUALITIES; TIME DELAY; TIMING CIRCUITS; UNCERTAIN SYSTEMS;

DESIGN CRITERIA; FILTERING PROCESS; H∞ FILTERING; H∞ FILTERS; LYAPUNOV'S METHODS; MATRIX INEQUALITY; SYSTEM MATRIX; TIME-DELAY SYSTEMS; UNCERTAIN TIME-DELAY SYSTEM; UNCERTAINTY;

LYAPUNOV METHODS;

EID: 33845485868     PISSN: 00223239     EISSN: 15732878     Source Type: Journal    
DOI: 10.1007/s10957-006-9064-1     Document Type: Article

References (16)

1. LEITMANN, G., On One Approach to the Control of Uncertain Systems, ASME Journal of Dynamic Systems, Measurement, and Control, Vol. 115, pp. 373-380, 1993.
2. LEITMANN, G., UDWADIA, F. E., and KRYZAHIMSKII, A. V., Editors, Dynamics and Control, Gordon and Breach, Amsterdam, Holland, 1999.
3. UDWADIA, F. E., WEBER, H. I., and LEITMANN, G., Editors, Dynamical Systems and Control, CRC Press, New York, NY, 2004.
4. HALE, J., and VERDUYN LUNEL, S. M., Introduction to Functional Differential Equations, Springer Verlag, New York, NY, 1993.
5. NICULESCU, S. I., Delay Effects on Stability: A Robust Approach, Lecture Notes in Control and Information Sciences, Springer, New York, NY, Vol. 269, 2002.
6. PARK, J. H., Robust Stabilization for Dynamic Systems with Multiple Time-Varying Delays and Nonlinear Uncertainties, Journal of Optimization Theory and Applications, Vol. 108, pp. 155-174, 2001.
7. KWON, O. M., and PARK, J. H., On Improved Delay-Dependent Robust Control for Uncertain Time-Delay Systems, IEEE Transactions on Automatic Control, Vol. 49, pp. 1991-1995, 2004.
8. ∞ Filtering, IEEE Transactions on Signal Processing, Vol. 45, pp. 2338-2350, 1997.
9. ∞ Filtering Design with Pole Placement Constraint via Linear Matrix Inequalities, Journal of Optimization Theory and Applications, Vol. 102, pp. 239-261, 1999.
10. ∞ Filter Design for Uncertain Neutral Systems: LMI Optimization Approach, Applied Mathematics and Computation, Vol. 159, pp. 625-639, 2004.
11. ∞ Filter Design for Uncertain Linear Systems with Multiple Time-Varying State Delays, IEEE Transactions on Signal Processing, Vol. 49, pp. 569-576, 2001.
12. ∞ Filter Design for Uncertain Systems with Distributed Delays, IEEE Transactions on Circuits and Systems-II: Express Briefs, Vol. 51, pp. 195-201, 2004.
13. BOYD, S., EL GHAOUI, L., FERON, E., and BALAKRISHNAN, V., Linear Matrix Inequalities in Systems and Control Theory, Studies in Applied Mathematics, SIAM, Philadelphia, Pennsylvania, Vol. 15, 1994.
14. GU, K., An Integral Inequality in the Stability Problem of Time-Delay Systems, Proceedings of the IEEE Conference on Decision and Control, Sydney, Australia, pp. 2805-2810, 2000.
15. YUE, D., and WON, S., Delay-Dependent Robust Stability of Stochastic Systems with Time Delay and Nonlinear Uncertainties, Electronics Letters, Vol. 37, pp. 992-993, 2001.
16. GAHINET, P., NEMIROVSKI, A., LAUB, A., and CHILALI, M., LMI Control Toolbox User's Guide. The Mathworks, Natick, Massachusetts, 1995.