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Stabilization of networked control systems with data packet dropout and transmission delays: continuous-time case. (English) Zbl 1293.93622

Summary: The problem of data packet dropout and transmission delays induced by communication channel in Networked Control Systems (NCSs) is studied in this paper. We model the continuous-time NCSs with data packet dropout and transmission delays as ordinary linear systems with time-varying input delays. By using the Lyapunov-Razumikhin function techniques, delay-dependent condition on the stabilization of NCSs is obtained in terms of Linear Matrix Inequalities (LMIs). Stabilizing state feedback controllers can then be constructed by using the feasible solutions of some LMIs. The admissible upper bounds of data packet loss and delays can be computed by using the quasi-convex optimization algorithm. Numerical examples illustrate the effectiveness of the proposed approach.

MSC:

93D15 Stabilization of systems by feedback
93A15 Large-scale systems
93C05 Linear systems in control theory
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