Delay-dependent asymptotic stabilitzation for uncertain time-delay systems with saturating actuators

• Autorzy: Pin-Lin Liu
• Języki publikacji: EN

Abstrakty

EN

This paper concerns the issue of robust asymptotic stabilization for uncertain time-delay systems with saturating actuators. Delay-dependent criteria for robust stabilization via linear memoryless state feedback have been obtained. The resulting upper bound on the delay time is given in terms of the solution to a Riccati equation subject to model transformation. Finally, examples are presented to show the effectiveness of our result.

Słowa kluczowe

EN

Riccati equation; delay-dependency; time delay system; stability

• Wydawca: University of Zielona Gora Press
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2005
• Tom: 15
• Numer: 1
• Strony: 45-51

Daty

wydano

2005

otrzymano

2004-04-19

Twórcy

autor

Pin-Lin Liu

• Department of Electrical Engineering, Chienkuo Technology University, Changhua, 500, Taiwan, R.O.C.

Bibliografia

• Cao Y.Y., Sun Y.X. and Chan C. (1998): Delay-dependent robust stabilization of uncertain systems with multiple state delays. - IEEE Trans. Automat. Contr., Vol. AC-43, No. 11, pp. 1608-1612.
• Goubet B., Dambrin M. and Richard J.P. (1997): Stability of perturbed systems with time-varying delays. - Syst. Contr. Lett., Vol. 31, No. 3, pp. 155-163.
• Han Q.L. and Mehdi D. (1998): Robust stabilization of delay dependence for uncertain time-delay saturating actuators systems. - UKACC Int. Conf. Control'98, Swansea, UK, pp. 635-640.
• Kolmanovskii V.B. and Nosov V.R. (1986): Stability of Functional Differential Equations. - New York: Academic Press.
• Liu P.L. and Su T.J. (1998): Robust stability of interval time-delay systems with delay-dependence. - Syst. Contr. Lett., Vol. 33, No. 4, pp. 231-239.
• Liu P.L., Kang T.L. and Su T.J. (2001): Robust stabilization of parameter perturbed systems with delayed state and control delay. - J. Chinese Inst. Eng., Vol. 24, No. 6, pp. 781-789.
• Su H. and Chu J. (1999): Stabilization of a class of uncertain time-delay systems containing saturating actuators. - Int. J. Syst. Sci., Vol. 30, No. 11, pp. 1193-1203.
• Su H., Liu F. and Chu J. (2001): Robust stabilization of uncertain time delay systems containing saturating actuators. - IEE Proc. Contr. Theory Appl., Vol. 148, No. 4, pp. 323-328.
• Su T.J., Liu P.L. and Tsay J.T. (1991): Stabilization of delay-dependence for saturating actuator systems. - Proc. 30th IEEE Conf. Decision and Control, Brighton, UK, pp. 2891-2892.
• Su T.J. and Huang C.G. (1992): Robust stability of delay dependence for linear uncertain systems. - IEEE Trans. Automat. Contr., Vol. AC-37, No. 10, pp. 1656-1659.
• Su T.J. and Liu P.L. (1996): Robust stability analysis for linear uncertain time-delay systems with delay-dependence. - J. Chinese Inst. Eng., Vol. 16, No. 4, pp. 571-576.
• Su T.J., Lu C.Y. and Tsai J.S.H. (2002): Delay-dependent robust stabilization for uncertain time delay systems with saturating actuators-LMI approach. - Proc.Amer. Contr. Conf., Anchorage, pp. 3357-3358.
• Tsay J.T. and Liu P.L. (1996): Dynamic feedback compensator for constrained uncertain time-delay systems. - J. Chinese Inst. Electr. Eng., Vol. 3, No. 4, pp. 359-365.