Robust Feedback Set Stabilization of Logic Networks with State-Dependent Uncertain Switching and Control Constraints  

作　　者：DAI Chaoqun GUO Yuqian GUI Weihua 

机构地区：[1]School of Automation,Central South University,Changsha 410083,China

出　　处：《Journal of Systems Science & Complexity》2024年第2期629-646,共18页系统科学与复杂性学报（英文版）

基　　金：supported by the National Natural Science Foundation of China under Grant Nos.61873284,61321003,and 62373374.

摘　　要：This study investigates the robust feedback set stabilization of switched logic control networks(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.

关 键 词：Input transformation robust control invariant subset robust feedback set stabilizability semi-tensor product state-dependent constraints switched logic control network 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]