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《第30届中国控制与决策会议论文集(1)》2018年
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Equivalences between Quadratic Admissibility and Generalized Quadratic Stability for Uncertain Singular Systems

Xuefeng Zhang  
【摘要】:The robust stability and robust stabilization of uncertain singular systems are more complicated than those for normal state-space systems.For norm bounded uncertain singular systems,there exist two different quadratic admissibility definitions.This paper considers the relationship of quadratic admissibility and so called generalized quadratic stability of uncertain continuous singular systems.The equivalence between the above definitions is proven.Furthermore,the new criteria of quadratic admissibility of closed loop system through feedback and quadratic stabilizability of uncertain continuous singular systems are obtained by the equivalence relationship.The criteria are directly solved the feasible solutions with LMI toolbox and are much more tractable and reliable in numerical computation than existing results which involve semi positive definite LMIs with equality constraints.Numerical example is given to show the effectiveness of the proposed approaches.
【作者单位】:School of Sciences,Northeastern University
【分类号】:O231

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