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A switched system approach to H control of networked control systems with time-varying delays. (English) Zbl 1214.93044
Summary: 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 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 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.
MSC:
93B36H -control
93C30Control systems governed by other functional relations
93C35Multivariable systems, multidimensional control systems
93D20Asymptotic stability of control systems
93C15Control systems governed by ODE
References:
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