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This study is concerned with the synthesis of periodically time-varying memory state-feedback controllers (PTVMSFCs) for discrete-time linear systems. In our preceding studies, we have already established a solid theoretical basis for the LMI-based (robust) H∞-PTVMSFCs synthesis, and the goal of this paper is to extend those results to the H2 performance criterion. In the H2 case, the main difficulty...
In this paper, we enhance the quality of our preceding results on periodically time-varying memory state-feedback controller (PTVMSFC) synthesis for discrete-time linear periodic/time-invariant systems. We firstly revisit PTVMSFC synthesis for certain systems and derive a necessary and sufficient LMI condition for the existence of the desired H??-PTVMSFCs. Based on these LMIs, we next consider robust...
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