title: Robust observer-based passive control for uncertain singular time-delay systems subject to actuator saturation.
abstract: This paper investigates the problem of robust observer-based passive control for uncertain singular time-delay system subject to actuator saturation. A polytopic approach is used to describe the saturation behavior. First, by constructing Lyapunov-Krasovskii functional, a less conservative sufficient condition is obtained which guarantees that the closed-loop system is regular, impulse free, stable and robust strictly passive. Then, with this condition, the design method of state feedback controller and the observer are given by solving linear matrix inequalities. In addition, a domain of attraction in which the admissible initial states are ensured to converge asymptotically to the origin is solved as a convex optimization problem. Finally, some simulations are provided to demonstrate the effectiveness and superiority of the proposed method.
authors.affiliation: College of Science, Yanshan University, Qinhuangdao Hebei 066004, PR China.
authors.forename: Yuechao
authors.initials: Y
authors.lastname: Ma
authors.affiliation: College of Science, Yanshan University, Qinhuangdao Hebei 066004, PR China. Electronic address: pingjingyang123@163.com.
authors.forename: Pingjing
authors.initials: P
authors.lastname: Yang
authors.affiliation: College of Science, Yanshan University, Qinhuangdao Hebei 066004, PR China.
authors.forename: Yifang
authors.initials: Y
authors.lastname: Yan
authors.affiliation: College of Science, Northeatern University, Shenyang Liaoning 110004, PR China.
authors.forename: Qingling
authors.initials: Q
authors.lastname: Zhang
keywords: Actuator saturation; Linear matrix inequality; Observer-based state feedback; Passive control; Singular time-delay systems