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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...
This paper addresses the L2-gain analysis and control synthesis problem for a class of switched nonlinear systems affected by both time-varying uncertainties and external disturbances. Firstly, the L2-gain for the autonomous switched disturbed uncertain system is analyzed. Then, a switched state feedback control law is designed and the L2-gain is analyzed for the disturbed uncertain non-autonomous...
This paper investigates the problems of robust Hinfin 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 Hinfin performance criterion in terms of linear matrix inequalities is derived. This Hinfin performance criterion can be adopted...
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