Stabilization of Switched Time-Delay Linear Systems through a State-Dependent Switching Strategy

Actuators

Zongli Lin¹  Tan Hou²  Yuanlong Li² 

[1] Charles L. Brown Department of Electrical and Computer Engineering, University of Virginia, P.O. Box 400743, Charlottesville, VA 22904-4743, USA;Department of Automation, Shanghai Jiao Tong University, Shanghai 200240, China;

关键词: asymptotic stability;    delay bound;    sliding motion;    state-dependent switching;    switched system;    time-varying delay;   

DOI  :  10.3390/act10100261

来源: DOAJ

【 摘 要 】

This paper considers the problem of stabilizing switched time-delay linear systems through a state-dependent switching strategy. In contrast to the existing works, we adopt a less restrictive assumption of the system, and show that this assumption is sufficient to guarantee asymptotic stability of the considered system under the min-projection switching strategy. Our results also imply that the min-projection switching strategy, originally designed for delay-free switched systems, is robust with respect to small state delays. An optimization problem is formulated to estimate the upper bound of the tolerable time delay. Numerical examples are presented to show that our method is applicable to a larger class of switched systems and leads to a greater delay bound.

【 授权许可】

Unknown