Reliable $$\mathcal {H}_{\infty }$$ H ∞ controller for uncertain networked control systems with additive time-varying delays and nonlinear actuator faults

Abstract

In this paper, the problem of exponential stability for a class of networked control system is investigated. Proposed system consisting additive time-varying delays, parameter uncertainties, external disturbance, nonlinearities and actuator faults which makes more generalized system model. The inclusion of actuator fault matrix and nonlinear perturbation in the formulation of reliable controller gives more practical applications in networked control system. The main goal of this paper is to formulate a reliable $$\mathcal {H}_{\infty }$$ controller which assures the exponential stability of considered system. Based on the integral inequality technique, a new linear matrix inequality criteria has been obtained by formulating a suitable Lyapunov–Krasovskii functional for the exponential stability of the proposed networked control system. Finally, numerical example is provided to validate the effectiveness of the proposed method.