A Descriptor System Approach to Robust Control for Polytopic Systems with Time Delay and Its Application to Flight Control

This paper investigates the problem of stability analysis for a polytopic system with timevarying delay via parameter-dependent Lyapunov functions. By a relaxation approach with slack matrices and a descriptor model transformation, a new robust delay-dependent stability criterion is expressed as a set of linear matrix inequalities (LMIs) with less computational burden. This criterion combined with fault tolerant techniques can be employed for robust reliable controller synthesis for an aircraft dynamic system with multiple operating points. The resulting flight control system remains stable when actuator faults occur. The simulation results illustrate the effectiveness of the proposed approach.