Positive stabilization for a class of switched systems with input time-delay

被引：0

作者：

Liu J. ^{[1
]}

Lian J. ^{[1
]}

Zhuang Y. ^{[1
]}

机构：

[1] School of Control Science and Engineering, Dalian University of Technology, Dalian

来源：

Kongzhi yu Juece/Control and Decision | 2017年 / 32卷 / 06期

关键词：

Average dwell time; Positive stabilization; Switched systems;

D O I：

10.13195/j.kzyjc.2016.0515

中图分类号：

学科分类号：

摘要：

This paper focuses on the positive stabilization problem for a class of switched systems with input time-delay. By introducing the augmented system and taking time-delay as a switching parameter, the positive stabilization problem is converted to the control problem of the augmented system under asynchronous switching. Taking advantage of the properties of dual systems, a sufficient condition is derived to ensure that the augmented system is both positive and stable under the average dwell time switching. Then, a controller is designed to guarantee the prescribed performance of closed-loop systems. Such sufficient condition can be transformed to the normal linear programming problem, which can be solved by using the linprog toolbox in Matlab. Finally, a numerical example is given to illustrate the effectiveness of the obtained results. © 2017, Editorial Office of Control and Decision. All right reserved.

引用

页码：1001 / 1006

页数：5

共 19 条

[1]

Hespanha J., Morse A., Stability of switched systems with average dwell-time, Proc of the 38th IEEE Conf on Decision and Control, pp. 2655-2660, (1999)

[2]

Sun X., Zhao J., Hill D., Stability and L<sub>2</sub>-gain analysis for switched delay systems: A delay-dependent method, Automatica, 42, 10, pp. 1769-1774, (2006)

[3]

Fiacchini M., Girard A., Jungers M., Onthe stabilizability of discrete-time switched linear systems: novel conditions and comparisons, IEEE Trans on Automatic Control, 61, 5, pp. 1181-1193, (2016)

[4]

Chen W., Zeng W., Delay-independent minimum dwell time for exponential stability for uncertain switched delay systems, IEEE Trans on Automatic Control, 55, 10, pp. 2406-2413, (2010)

[5]

Xiong J.D., Liu Y.Q., Shen Z.P., Et al., Stabilizing slow-switching stratergy for continuous-time switched linear systems, Control and Decision, 31, 5, pp. 797-804, (2016)

[6]

Liu J., Lian J., Zhuang Y., Output feedback L<sub>1</sub> finite-time control of switched positive delayed systems with MDADT, Nonlinear Analysis: Hybrid Systems, 15, pp. 11-22, (2015)

[7]

Zhao X., Zhang L., Wang Z., State-feedback control of discrete-time switched positive linear systems, IET Control Theory and Applications, 6, 18, pp. 2829-2834, (2012)

[8]

Liu X., Stability analysis of switched positive systems: A switched linear copositive Lyapunov function method, IEEE Trans on Circuits and Systems-II: Express Briefs, 56, 5, pp. 414-418, (2009)

[9]

Pastrovanu O., Matcovschi M., Max-type copositive Lyapunov functions for switching positive linear systems, Automatica, 50, 12, pp. 3323-3327, (2014)

[10]

Blanchini F., Colaneri P., Valcher M., Co-positive Lyapunov functions for the stabilization of positive switched systems, IEEE Trans on Automatic Control, 57, 12, pp. 3038-3050, (2012)

← 1 2 →