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

作者：Zhang, Wen-An; Yu, Li^*; Yin, Shu

来源：Journal of the Franklin Institute, 2011, 348(2): 165-178.

DOI：10.1016/j.jfranklin.2010.10.013

• STABILITY

This paper is concerned with the H-infinity 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-infinity 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-infinity controllers which minimize the H-infinity performance level. An illustrative example is given to show the effectiveness of the proposed results.

• 出版日期2011-3
• 单位浙江工业大学