EFFICIENT LMI-BASED QUADRATIC STABILITY AND STABILIZATION OF PARAMETER-DEPENDENT INTERVAL SYSTEMS WITH APPLICATIONS

This paper is concerned with the problem of quadratic stability and stabilization for continuous-time linear parameter-dependent interval systems. Differing from previous results in the analysis and control design of interval systems, the new necessary and sufficient conditions proposed in this paper for the quadratic stability, quadratic stabilization and D-stabilization are based on parameter-dependent model representation of interval systems. In the quadratic framework, an approach based on a vertex result on interval uncertain parameters is proposed. This allows the solvability conditions to be presented in terms of a set of parameterized linear matrix inequalities which can be efficiently solved by using standard numerical softwares. A linearized longitudinal dynamic model of the flight control system of a supersonic cruise missile is presented to illustrate the effectiveness and advantage of the proposed methods.