A switched system approach to H∞ control of networked control systems with time-varying delays

• DOI: 10.1016/j.jfranklin.2010.10.013
• Publication Date: 2010-10-31T08:41:19Z
• Authors: Wen-An Zhang; Li Yu; Shu Yin
• Keywords: 0202 electrical engineering, electronic engineering, information engineering; 02 engineering and technology

Abstract This paper is concerned with the H ∞ control problem for a class of networked control systems (NCSs) with time-varying delay that is less than one sampling period. By applying a new working mode of the actuator and considering state feedback controllers, a new discrete-time switched system model is proposed to describe the NCS. Based on the obtained switched system model, a sufficient condition is derived for the closed-loop NCS to be exponentially stable and ensure a prescribed H ∞ performance level. The obtained condition establishes relations among the delay length, the delay variation frequency, and the system performances of the closed-loop NCS. Moreover, a convex optimization problem is formulated to design the H ∞ controllers which minimize the H ∞ performance level. An illustrative example is given to show the effectiveness of the proposed results.