A Descriptor system approach to robust? control and its application to flight control

Abstract

This paper investigates the problems of robust H-infinity performance analysis and control synthesis for linear systems, having polytopic type of uncertainties, via the parameter-dependent Lyapunov functions. First, via employing a descriptor model transformation of the system, a H-infinity performance criterion in terms of linear matrix inequalities is derived. This H-infinity performance criterion can be adopted for robust controller synthesis as shown. The H-infinity performance criterion is applied to design flight tracking controller for aircraft dynamic systems with multiple operating points. These results illustrate the effectiveness of the proposed approach.