首页|Robust Feedback Set Stabilization of Logic Networks with State-Dependent Uncertain Switching and Control Constraints
Robust Feedback Set Stabilization of Logic Networks with State-Dependent Uncertain Switching and Control Constraints
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This study investigates the robust feedback set stabilization of switched logic control net-works(SLCNs)with state-dependent uncertain switching and control constraints.First,based on the properties of the semi-tensor product of matrices and the vector representation of logic,an SLCN with state-dependent uncertain switching and control constraints is expressed in algebraic form.Second,an input transformation and a switching model are constructed to transfer the original SLCN into one with a free control input and arbitrary switching.The equivalence between the set stabilizability of the original SLCN and that of the resulting SLCN is established.Based on such equivalence,the authors propose a necessary and sufficient condition for robust feedback set stabilizability.Finally,an example is presented to demonstrate the application of the results obtained.
Input transformationrobust control invariant subsetrobust feedback set stabilizabilitysemi-tensor productstate-dependent constraintsswitched logic control network
DAI Chaoqun、GUO Yuqian、GUI Weihua
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School of Automation,Central South University,Changsha 410083,China