H∞ control for uncertain linear system over networks with Bernoulli data dropout and actuator saturation. (March 2018)

• Record Type: Journal Article
• Authors: Yu, Jimin; Yang, Chenchen; Tang, Xiaoming; Wang, Ping
• Is Part Of: ISA transactions. Volume 74(2018)
• Page Start: 1
• Page End: 13
• Publication Date: 2018-03
• Subjects: Networked control systems -- State feedback-based H∞ control -- Observer-based H∞ controller -- Actuator saturation -- Data dropout; Engineering instruments -- Periodicals; Engineering instruments; Periodicals; Electronic journals; 629.805
• DOI: 10.1016/j.isatra.2017.12.024
• Languages: English
• ISSNs: 0019-0578

Abstract

Abstract: This paper investigates the H ∞ control problems for uncertain linear system over networks with random communication data dropout and actuator saturation. The random data dropout process is modeled by a Bernoulli distributed white sequence with a known conditional probability distribution and the actuator saturation is confined in a convex hull by introducing a group of auxiliary matrices. By constructing a quadratic Lyapunov function, effective conditions for the state feedback-based H ∞ controller and the observer-based H ∞ controller are proposed in the form of non-convex matrix inequalities to take the random data dropout and actuator saturation into consideration simultaneously, and the problem of non-convex feasibility is solved by applying cone complementarity linearization (CCL) procedure. Finally, two simulation examples are given to demonstrate the effectiveness of the proposed new design techniques. Highlights: An uncertain networked control system with data dropout and actuator saturation is established. An observer-based H ∞ output feedback controller is designed. Cone complementarity linearization (CCL) procedure is exploited to solve the non-convex matrix inequalities. Simulations show the effectiveness of the proposed control scheme.