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A switched system approach to $H_\infty$ control of networked control systems with time-varying delays. (English) Zbl 1214.93044
Summary: This paper is concerned with the $H_\infty$ 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 switching system model is proposed to describe the NCS. Based on the obtained switching system model, a sufficient condition is derived for the closed-loop NCS to be exponentially stable and ensure a prescribed $H_\infty$ 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 $H_\infty$ controllers which minimize the $H_\infty$ performance level. An illustrative example is given to show the effectiveness of the proposed results.

93C30Control systems governed by other functional relations
93C35Multivariable systems, multidimensional control systems
93D20Asymptotic stability of control systems
93C15Control systems governed by ODE
Full Text: DOI
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