Robust stability and H-infinity control for uncertain discrete-time Markovian jump singular systems
Shuping MA
Chenghui ZHANG
Xinzhi LIU
摘要：The robust stability and stabilization,and H-infinity control problems for discrete-time Markovian jump singular systems with parameter uncertainties are discussed.Based on the restricted system equivalent(r.s.e.)transformation and by introducing new state vectors,the singular system is transformed into a discrete-time Markovian jump standard linear system,and the linear matrix inequality(LMI)conditions for the discrete-time Markovian jump singular systems to be regular,causal,stochastically stable,and stochastically stable with γ-disturbance attenuation are obtained,respectively.With these conditions,the robust state feedback stochastic stabilization problem and H-infinity control problem are solved,and the LMI conditions are obtained.A numerical example illustrates the effectiveness of the method given in the paper.
机标关键词：stochastically stablesingular systemsstability and stabilizationstochastic stabilizationlinear matrix inequalityparameter uncertaintiescontrol problemsstate feedback
分类号：TP3(计算技术、计算机技术)
资助基金：中国博士后科学基金(20060400980)Postdoctoral Science Foundation of Shandong Province(200603015)国家自然科学基金(10671112)
论文发表日期：2008-01-01
在线出版日期：2025-08-15（本平台首次上网日期，不代表文献的发表时间）
页数：8( 133-140 )
英文信息