Delay-dependent Asymptotic Stabilitzation for Uncertain Time-delay Systems with Saturating Actuators

• Autorzy: Liu P. L.
• 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

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

PL

stabilność; system opóźniania; równanie Riccatiego

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2005
• Tom: Vol. 15, no 1
• Strony: 45--51
• Opis fizyczny: Bibliogr. 13 poz., rys., tab.

Twórcy

autor

Liu P. L.

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

Bibliografia

• [1] 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.
• [2] 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.
• [3] 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.
• [4] Kolmanovskii V.B. and Nosov V.R. (1986): Stability of Functional Differential Equations. — New York: Academic Press.
• [5] Liu P.L. and Su T.J. (1998): Robust stability of interval timedelay systems with delay-dependence.—Syst. Contr. Lett., Vol. 33, No. 4, pp. 231–239.
• [6] 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.
• [7] 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.
• [8] 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.
• [9] Su T.J., Liu P.L. and Tsay J.T. (1991): Stabilization of delaydependence for saturating actuator systems. — Proc. 30th IEEE Conf. Decision and Control, Brighton, UK, pp. 2891–2892.
• [10] 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.
• [11] 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.
• [12] 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.
• [13] 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.