A New Dropout Compensation Scheme for Fuzzy Dynamic Output-Feedback Control of Discrete-Time System

Abstract

This article under unreliable communication links considers the problem of dynamic compensation output-feedback control for non-linear discrete-time networked control systems (NCSs) with packet dropouts in the light of the Takagi-Sugeno (T-S) fuzzy method. Specifically, the packet dropouts are modeled by the Bernoulli random binary distribution in both the controller-to-actuator (C/A) and sensor-to-controller (S/C). In addition, to estimate the missing packets, attention is focused on the dynamic output-feedback controller, which is designed using a new improved compensation strategy. Here, sufficient conditions are obtained such that the closed-loop control system is stochastically stable with the prescribed $H_{\infty }$ performance by constructing fuzzy Lyapunov function. To reduce conservativeness and deal with the non-convex problem, a cone-complementarity linearisation (CCL) program is introduced. Finally, the effectiveness of the method is demonstrated by the simulation results of the two numerical examples.

Keywords

• T-S fuzzy model
• dropout compensation
• NCSs
• output feedback
• CCL