Abstract
This paper concerns the problem of robust stability analysis and control synthesis for a polytopic system with time-varying delays 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 can be employed for robust controller synthesis. The obtained stabilizability criterion is applied to design a flight controller for aircraft dynamic systems with multiple operating points. The simulation results illustrate the effectiveness of the proposed approach.
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