In this paper,H∞state feedback control with delay information for discrete systems with multi-time-delay is discussed.Making use of linear matrix inequality(LMI)approach,a time-delay-dependent criterion for a discret...In this paper,H∞state feedback control with delay information for discrete systems with multi-time-delay is discussed.Making use of linear matrix inequality(LMI)approach,a time-delay-dependent criterion for a discrete system with multi-time-delay to satisfy H∞performance indices is induced,and then a strategy for H∞state feedback control with delay values for plant with multi-time-delay is obtained.By solving corresponding LMI,a delay-dependent state feedback controller satisfying H∞performance indices is designed.Finally,a simulation example demonstrates the validity of the proposed approach.Keywords Multi-time-delay-discrete time system-LMI-delay-dependent-H∞control Bai-Da Qu received B.S.degree in electrical automation from Fuxin Mining Institute,China in 1982,M.Eng.degree from Hefei University of Polytechnology in 1990,and Ph.D from Northerneastern University in 1999.He was an electro-mechanical engineer at Erdaohezi Mine,Heilongjiang,China from 1982 to 1990,a Lecturer,Senior Engineer,Associate Professor and Professor in Shenyang Institue of Technology from 1990 to 2002.He is currently a professor in Communication and Control Engineering School,Southern Yangtze University.His research interests include control theory and applications(robust control,H∞control,time-delay systems,complex systems),system engineering(modeling,analysis and simulation,MIS,CMIS),power-electronics and electrical driving,signal detecting and process,industrial automation.展开更多
文摘In this paper,H∞state feedback control with delay information for discrete systems with multi-time-delay is discussed.Making use of linear matrix inequality(LMI)approach,a time-delay-dependent criterion for a discrete system with multi-time-delay to satisfy H∞performance indices is induced,and then a strategy for H∞state feedback control with delay values for plant with multi-time-delay is obtained.By solving corresponding LMI,a delay-dependent state feedback controller satisfying H∞performance indices is designed.Finally,a simulation example demonstrates the validity of the proposed approach.Keywords Multi-time-delay-discrete time system-LMI-delay-dependent-H∞control Bai-Da Qu received B.S.degree in electrical automation from Fuxin Mining Institute,China in 1982,M.Eng.degree from Hefei University of Polytechnology in 1990,and Ph.D from Northerneastern University in 1999.He was an electro-mechanical engineer at Erdaohezi Mine,Heilongjiang,China from 1982 to 1990,a Lecturer,Senior Engineer,Associate Professor and Professor in Shenyang Institue of Technology from 1990 to 2002.He is currently a professor in Communication and Control Engineering School,Southern Yangtze University.His research interests include control theory and applications(robust control,H∞control,time-delay systems,complex systems),system engineering(modeling,analysis and simulation,MIS,CMIS),power-electronics and electrical driving,signal detecting and process,industrial automation.
