Finite-time H ∞ dynamic quantization inputs control for uncertain switched systems

This paper investigates the problem of finite-time stability and finite-time H ∞ stabilization for switched systems with parametric uncertainties and nonlinear disturbances satisfying Lipschitz condition. The dynamic quantization inputs feedback control technology is proposed to utilize quantized input measurements which can significantly reduce the communication burden. Sufficient conditions in terms of linear matrix inequality (LMIs) are presented through applying Lyapunov function method and average dwell approach to ensure the finite-time stability of the switched system. By analysing the feasibility of LMIs’ solution, the feedback gain matrix and the dynamic quantization parameter are obtained. In addition, more constraints are proposed to ensure the finite-time stabilization with a prescribed H ∞ performance index with respect to nonlinear disturbances, and the Lipschitz constant matrix of Lipschitz condition is not required to be known in advance. Finally, with the application to the proposed control of a numerical example and a two-stage chemical reactor system, the validity of the conclusion is verified.