Singular H∞ Finite-time Boundedness for a Class of Uncertain Singular Systems

Abstract

This paper is concerned with the problem of observer-based finite-time H∞ control for a class of uncertain singular systems with norm-bounded uncertainties. We design a suitable observer and a controller to guarantee that the closed-loop is singular H∞ finite-time bounded. By constructing an appropriate Lyapunov function, and using matrix inequality technique, a sufficient condition for the singular H∞ finite-time boundedness of the closed-loop system is established. The observer and controller gains are designed based on matrix inequality. Two numerical examples are given to demonstrate the effectiveness of the proposed methods.