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${H}_{\infty }$ control of a class of networked control systems with time delay and packet dropout. (English) Zbl 1216.93042
Summary: This paper studies the ${H}_{\infty }$ control issue for a class of Networked Control Systems (NCSs) with time delay and packet dropout. The state feedback closed-loop NCS is modeled as a discrete-time switching system. Through using a Lyapunov function, a sufficient condition is obtained, under which the system is exponential stability with a desired ${H}_{\infty }$ disturbance attenuation level. The designed ${H}_{\infty }$ controller is obtained by solving a set of linear matrix inequalities. An illustrative example is presented to demonstrate the effectiveness of the proposed method.
##### MSC:
 93B36 ${H}^{\infty }$-control 93B52 Feedback control 93D20 Asymptotic stability of control systems