A Descriptor System Approach to Robust H.. Control and Its Application to Flight Control

This paper investigates the problems of robust H_infin 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_infin performance criterion in terms of linear matrix inequalities is derived. This H_infin performance criterion can be adopted for robust controller synthesis as shown. The H _infin 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