Quantized Finite-Time $\mathcal{H}_{\infty}$ Control of Fuzzy Distributed Parameter CPSs

Abstract

In this article, the finite-time $\mathcal{H}_{\infty}$ control problem of nonlinear distributed parameter Cyber-Physical Systems (CPSs) is studied. By employing the Takagi-Sugeno (T-S) fuzzy model, the nonlinear DPSs are described as a fuzzy parabolic partial differential equation (PDE). The state information is considered to be quantized by a kind of dynamic quantizers. Then, a fuzzy state feedback controller is proposed. Based on the free-matrix inequality approach, sufficient design conditions for control gains and the quantizers' adjusting parameters are provided to obtain the boundness of the fuzzy closed-loop system in finite-time interval. Finally, a simulation study in a cascaded of two cylindrical lithium batteries is provided to illustrate the effectiveness of the proposed control strategy.