Robust H ∞ stabilization for uncertain switched impulsive control systems with state delay: An LMI approach

Nonlinear Analysis: Hybrid Systems

Volumn 2, Issue 4, 2008, Pages 1287-1300

  Zong, Guangdeng ^a,b   Xu, Shengyuan ^b   Wu, Yuqiang ^a  

^a QUFU NORMAL UNIVERSITY   (China)

^b NANJING UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

Author keywords

H stabilization; Impulse effects; Parameter uncertainties; Robust asymptotic stability; Switched linear systems

Indexed keywords

BOUNDED TIMES; DISTURBANCE ATTENUATIONS; FEASIBLE SOLUTIONS; FEEDBACK STABILIZATIONS; HYBRID AND SWITCHED SYSTEMS; IMPULSE EFFECTS; IMPULSIVE BEHAVIORS; IMPULSIVE CONTROL SYSTEMS; LINEAR GROWTH CONDITIONS; LINEAR MATRIXES; LMI APPROACHES; NONLINEAR UNCERTAINTIES; PARAMETER UNCERTAINTIES; ROBUST ASYMPTOTIC STABILITIES; ROBUST ASYMPTOTIC STABILITY; ROBUST H; ROBUSTLY STABILIZING; STATE DELAYS; SUFFICIENT CONDITIONS; SWITCHED LINEAR SYSTEMS; SWITCHED LYAPUNOV FUNCTIONS; SWITCHED SYSTEMS; SWITCHING LAWS; TIME- DELAYS; UNCERTAIN SWITCHED LINEAR SYSTEMS;

ASYMPTOTIC ANALYSIS; ASYMPTOTIC STABILITY; CONTROL THEORY; DELAY CONTROL SYSTEMS; DIFFERENTIAL EQUATIONS; FEEDBACK; LINEAR CONTROL SYSTEMS; LINEAR MATRIX INEQUALITIES; LINEAR SYSTEMS; LYAPUNOV FUNCTIONS; NONLINEAR CONTROL SYSTEMS; STABILIZATION; STATE FEEDBACK; SWITCHING SYSTEMS; SYSTEM STABILITY; THEOREM PROVING; UNCERTAIN SYSTEMS;

CONTROL SYSTEMS;

EID: 56649112841     PISSN: 1751570X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nahs.2008.09.018     Document Type: Article

References (20)

1. Liberzon D., and Morse A.S. Basic problems in stability and design of switched systems. IEEE Control Systems Magazine 19 (1999) 59-70
2. Decarlo R., Branicky M.S., and Lennartson B. Perspective and results on the stability and stabilizability of hybrid systems. Proceedings of the IEEE 88 (2000) 1069-1082
3. Liberzon D. Switching in Systems and Control (2003), Birkhauser, Boston, MA
4. Sun Z.D., and Ge S.S. Switched Linear Systems-control and Design (2004), Springer Verlag, New York
5. Li Z.G., Soh Y.C., and Wen C.Y. Robust stability of quasiperiodic hybrid dynamic uncertain systems. IEEE Transactions on Automatic Control 46 (2001) 107-111
6. Li Z.G., Soh Y.C., and Wen C.Y. Robust stability for a class of hybrid nonlinear systems. IEEE Transactions on Automatic Control 47 (2002) 897-903
7. Branicky M.S. Multiple Lyapunov functions and other analysis tools for switched and hybrid systems. IEEE Transactions on Automatic Control 43 (1998) 60-66
8. Cheng D.Z., Lei G., Lin Y.D., and Wang Y. Stabilization of switched systems. IEEE Transactions on Automatic Control 50 (2005) 661-666
9. Xie G.M., and Wang L. Necessary and sufficient conditions for controllability and observability of switched impulsive control systems. IEEE Transactions on Automatic Control 49 (2004) 960-966
10. Kim S., Campbell S.A., and Liu X.Z. Stability of a class of linear switching systems with time delay. IEEE Transactions on Circuits and Systems, Part I-Fundamental Theory and Applications 53 2 (2006) 384-393
11. Zong G.D., and Wu Y.Q. Exponential stability of discrete time perturbed impulsive switched systems. Acta Automatica, Sinica 32 (2006) 186-192
12. Guan Z.H., Qian T.H., and Yu X. Controllaibility and observability of linear time-varying impulsive systems. IEEE Transactions on Circuits and Systems, Part I-Fundamental Theory and Applications 49 (2002) 1198-1208
13. Guan Z.H., Hill D.J., and Shen X.M. On hybrid impulsive and switching systems and application to nonlinear control. IEEE Transactions Automatic Control 50 (2005) 1058-1062
14. Bainov D.D., and Simeonov P.S. Systems with Impulse Effect: Stability, Theory and Applications (1989), Halsted Press, New York
15. Boyd S., EL Ghaoui L., Feron E., and Balakrishnan V. Linear Matrix Inequalities in System and Control Theory (1994), SIAM, Philadelpha
16. ∞ control theory. IEEE Transactions Automatic Control 35 (1990) 356-361
17. Daafouz J., Riedinger P., and Iung C. Stability analysis and control synthesis fow switched systems: A switched Lyapunov function approach. IEEE Transactions Automatic Control 47 (2002) 1883-1887
18. V.F. Montagner, V.J.S. Leite, S. Tarbouriech, P.L.D. Peres, Stability and stabilizability of discrete-time switched linear systems with state delay, in: American Control Conference, Portland, OR, USA, June 8-10, 2005, pp. 3806-3811
19. ∞ control for uncertain discrete-time switched systems with time-delay based on LMI, in: Proceedings ACIT (Automation Control And Information Technology) - Automation Control and Applications, Novosibirsk, Russia, June 20-24, 2005
20. 2 output feedback controller design for uncertain discrete-time switched systems via switched Lyapunov functions. Nonlinear Analysis 65 (2006) 2135-2146