Normalization and stabilization of neutral descriptor hybrid systems based on P-D feedback control

摘要

This paper is concerned with the problem of normalization and stabilization of neutral descriptor hybrid systems with neutral and time-varying state delays. By designing mode-dependent delayed proportional-derivative state feedback and mode-dependent delayed proportional-derivative output injection controllers, respectively, the stabilization problem of neutral descriptor hybrid systems is transformed into the stability problem of normal neutral hybrid systems via normalization technique. Sufficient conditions are provided in terms of linear matrix inequalities by constructing mode-dependent and delay-dependent Lyapunov-Krasovskii functional. Simulation examples including a partial element equivalent circuit system are employed to verify the usefulness and validity of the controllers design method. (C) 2019 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.