Networked fuzzy output feedback control for discrete-time Takagi–Sugeno fuzzy systems with sensor saturation and measurement noise

Abstract

This paper deals with the problem of networked fuzzy static output feedback control for discrete-time Takagi–Sugeno fuzzy systems with sensor saturation and measurement noise. First, by taking network-induced delays and packet dropouts into account, the resulting closed-loop fuzzy system is modeled as an asynchronous discrete-time T–S fuzzy system subject to both interval-like delays and sector nonlinearity. Second, an augmented fuzzy-basis-dependent Lyapunov functional is introduced. By employing a matrix-based quadratic convex method, an interval-delay-dependent bounded real lemma is derived such that the closed-loop system has a prescribed H∞ performance level. Third, a fuzzy controller design method is presented by using a cone complementarity linearization algorithm. Finally, a nonlinear inverted pendulum system via networked fuzzy control is provided to show that the proposed results are of less conservatism and exhibit satisfactory adaptability to sensor saturation.