Robust L-1 dynamic output feedback control for a class of networked control systems based on T-S fuzzy model

摘要

This paper investigates the robust L-1 dynamic output feedback control problem for a class of nonlinear networked control systems (NCSs) represented by Takagi-Sugeno (T-S) fuzzy model. In consideration with the imperfect networked environment with signal transmission delay and data packet dropout, a fuzzy NCS via dynamic output feedback is established by utilizing the parallel distributed compensation (PDC) technique. The attention is focused on designing the robust L-1 controller that guarantees being asymptotically stable of the fuzzy NCS and satisfies a prescribed L-1 noise attenuation level gamma with respect to all persistent and amplitude-bounded disturbance input signals. In particular, we concentrate on constructing a delay- and basis- dependent Lyapunov-Krasovskii function which is in favor of reducing the conservatism, and furthermore, by using the integral inequality method and the Projection Lemma, the peak-to-peak performance criterion is first established. In this way, the design problem of the admissible L-1 dynamic output feedback controller can be converted into a convex optimization problem of solving a set of linear matrix inequalities (LMIs). Simulation results are provided to illustrate the effectiveness of the proposed method. (C) 2016 Elsevier B.V. All rights reserved.