Finite-time stabilization of switched linear time-delay systems with saturating actuators

• Published in: Applied mathematics and computation Vol. 299; pp. 66 - 79
• Main Authors: Lin, Xiangze, Li, Shihua, Zou, Yun
• Format: Journal Article
• Language: English
• Published: Elsevier Inc 15.04.2017
• Subjects: Finite-time stabilization; Saturating actuator; Switched linear time-delay systems; Switching signal; Saturating actuator; Switching signal; Switched linear time-delay systems; Finite-time stabilization
• ISSN: 0096-3003; 1873-5649
• DOI: 10.1016/j.amc.2016.11.039

In this paper, finite-time stabilization of switched linear time-delay systems with saturating actuators is addressed. State feedback controllers are presented to make the closed-loop systems finite-time stable. Not only the gain matrix of the saturating actuator but also the switching signal is designed to guarantee the finite-time stability of the switched systems. Sufficient conditions for both delay independent and delay dependent cases are given. The results in this paper which are expressed by scalar inequalities show the transient performance of the controlled switched systems. The bound of the trajectory given by the proposed methods leads us easily to judge the finite-time stability of the closed-loop switched systems. An example is employed to verify the efficiency of the proposed method.