Improved stabilization conditions for T-S fuzzy systems with interval time-varying delay
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- 英文论文题名：Improved stabilization conditions for T-S fuzzy systems with interval time-varying delay
- 论文作者：LIAN Zhi ; HE Yong ; ZHANG Chuanke ; WU Min
- 英文论文作者：LIAN Zhi ; HE Yong ; ZHANG Chuanke ; WU Min ; School of Automation ; China University of Geosciences ; Hubei key Laboratory of Advanced Control and Intelligent Automation for Complex Systems
- 年：2017
- 作者机构：School of Automation,China University of Geosciences;Hubei key Laboratory of Advanced Control and Intelligent Automation for Complex Systems;
- 英文论文关键词：Fuzzy systems ; Delay-dependent ; Stabilization ; Reciprocally convex matrix inequality
- 会议召开时间：2017-07-26
- 会议录名称：第36届中国控制会议论文集（A）
- 英文会议录名称：Proceedings of the 36th Chinese Control Conference（A）
- 语种：英文
- 分类号：O159;O175
- 学会代码：KZLL
- 会议名称：第36届中国控制会议
- 会议地点：中国辽宁大连
- 主办单位：中国自动化学会控制理论专业委员会
- 学会名称：中国自动化学会控制理论专业委员会
- 页数：6
- 文件大小：226k
- 原文格式：D
- 会议级别：全国
摘要
This paper is concerned with the stabilization problem for T-S fuzzy system with interval time-varying delay. By constructing a novel augmented LKF and using a developed reciprocally convex matrix inequality proposed in this paper to bound the derivative of the LKF, a delay-dependent stabilization condition based on parallel distributed compensation scheme is worked out for the closed-loop fuzzy system. Two numerical examples and an application to control of a truck-trailer are given to illustrate the effectiveness of our method.
This paper is concerned with the stabilization problem for T-S fuzzy system with interval time-varying delay. By constructing a novel augmented LKF and using a developed reciprocally convex matrix inequality proposed in this paper to bound the derivative of the LKF, a delay-dependent stabilization condition based on parallel distributed compensation scheme is worked out for the closed-loop fuzzy system. Two numerical examples and an application to control of a truck-trailer are given to illustrate the effectiveness of our method.
This paper is concerned with the stabilization problem for T-S fuzzy system with interval time-varying delay. By constructing a novel augmented LKF and using a developed reciprocally convex matrix inequality proposed in this paper to bound the derivative of the LKF, a delay-dependent stabilization condition based on parallel distributed compensation scheme is worked out for the closed-loop fuzzy system. Two numerical examples and an application to control of a truck-trailer are given to illustrate the effectiveness of our method.
引文
[1]Z.G.Feng,W.X.Zheng,“Improved stability condition for Takagi-Sugeno fuzzy systems with timevarying delay”,IEEE Transactions on Cybernetics,DOL:10.1109/TCYB.2016.2523544.
[2]Z.Lian,Y.He,C.K.Zhang,M.Wu,“Stability analysis for TS fuzzy systems with time-varying delay via free-matrix-based integral inequality”,International Journal of Control,Automation and Systems,2016,14:19–26.
[3]L.Zhao,H.Gao,H.R.Karimi,“Robust stability and stabilization of uncertain T-S fuzzy systems with time-varying delay:An input-output approach”,IEEE Transactions on Fuzzy Systems,2013,21:883–897.
[4]C.K.Zhang,L.Jiang,Q.H.Wu,Y.He,M.Wu,”Further results on delay-dependent stability of multi-area load frequency control”,IEEE Transactions on Power Systems,2013,28:4465–4474.
[5]C.K.Zhang,Y.He,L.Jiang,Q.H.Wu,M.Wu,“Delaydependent stability criteria for generalized neural networks with two delay components”,IEEE Transactions on Nearal Networks and Learning Systems,2014,25:1263–1276.
[6]M.Wu,Y.He,J.H.She,G.P.Liu,“Delay-dependent criteria for robust stability of time-varying delay systems”,Automatica,2004,40:1435–1439.
[7]H.N.Wu,H.X.Li,“New approach to delay-dependent stability analysis and stabilization for continuous-time fuzzy systems with time-varying delay”,IEEE Transactions on Fuzzy Systems,2007,15:482–493.
[8]H.B.Zeng,J.H.Park,J.W.Xia,S.P.Xiao,“Improved delaydependent stability criteria for T-S fuzzy systems with timevarying delay”,Applied Mathematics and Computation,2014,235:492–501.
[9]C.Peng,Q.L.Han,“Delay-range-dependent robust stabilization for uncertain T-S fuzzy control systems with interval timevarying delay”,Information Sciences,2011,181:4287–4299.
[10]K.Gu,V.L.Kharitonov,J.Chen,Stability of time-delay systems.Birkhauser,2003.
[11]A.Seuret,F.Gouaisbaut,“Wirtinger-based integral inequality:application to time-delay systems”,Automatica,2013,49:2860–2866.
[12]P.Park,W.Lee,S.Y.Lee,“Auxillary function-based integral inequalities for quadratic functions and their aoolications to time-delay systems”,Journal of the Franklin Institute Engineering and Applied Mathematics,2015,352:1378–1396.
[13]H.B.Zeng,Y.He,M.Wu,J.H.She,“Free-matrix-based integral inequality for stability analysis of systems with timevarying delay”,IEEE Transactions on Automatic Control,2015,60:2768–2772.
[14]C.H.Lien,K.W.Yu,W.D.Chen,Z.L.Wan,Y.J.Chung,“Stability criteria for uncertain Takagi-Sugeno fuzzy systems with interval time-varying delaly”,IET Control Theory and Applications,2007,1:764–769.
[15]J.Yang,W.P.Luo,J.Chen,Y.H.Wang,“Further improved stability criteria for uncertain T-S fuzzy systems with interval time-varying delay by delay-partitioning approach”,ISA Transactions,2015,58:27–34.
[16]L.Li,X.Liu,T.Chai,“New approaches on H∞control of T-S fuzzy systems with interval time-varyingd delay”,Fuzzy Sets and Systems,2009,160:1669–1688.
[17]F.Liu,M.Wu,Y.He,R.Yokoyamab,“Stability analysis for T-S fuzzy systems with time-varying delay via free-matrixbased integral inequality”,Fuzzy Sets and Systems,2010,161:2033–2042.
[18]P.G.Park,J.W.Ko,C.Jeong,“Reciprocally convex appraoch to stability of systems with time-varying delays”,Automatica,2011,47:235–238.
[19]A.Seuret,F.Gouaisbaut,E.Fridman,“Stabiity of systems with fast-varying delay using improved Wirtinger’s inequality”,In Proceedings of the 52nd IEEE Conference on Decision and Control,Florence,Italy,946–951,2013.
[20]E.Tian,C.Peng,“Delay-dependent stability analysis and synthesis of uncertain Takagi-Sugeno fuzzy systems with timevarying delay,”Fuzzy Sets and Systems,2006,157:544-559.
[21]E.Tian,D.Yue,Y.Zhang,“Delay-dependent robust H∞control for T-S fuzzy system with interval time-varying delay,”Fuzzy Sets and Systems 2009,160:1708-1719.
[22]F.O.Souza,V.C.S.Campos,R.M.Palhares,“On delaydependent stability conditions for Takagi-Sugeno fuzzy systems,”Journal of Franklin Institute 2014,351:3707-3718.
[2]Z.Lian,Y.He,C.K.Zhang,M.Wu,“Stability analysis for TS fuzzy systems with time-varying delay via free-matrix-based integral inequality”,International Journal of Control,Automation and Systems,2016,14:19–26.
[3]L.Zhao,H.Gao,H.R.Karimi,“Robust stability and stabilization of uncertain T-S fuzzy systems with time-varying delay:An input-output approach”,IEEE Transactions on Fuzzy Systems,2013,21:883–897.
[4]C.K.Zhang,L.Jiang,Q.H.Wu,Y.He,M.Wu,”Further results on delay-dependent stability of multi-area load frequency control”,IEEE Transactions on Power Systems,2013,28:4465–4474.
[5]C.K.Zhang,Y.He,L.Jiang,Q.H.Wu,M.Wu,“Delaydependent stability criteria for generalized neural networks with two delay components”,IEEE Transactions on Nearal Networks and Learning Systems,2014,25:1263–1276.
[6]M.Wu,Y.He,J.H.She,G.P.Liu,“Delay-dependent criteria for robust stability of time-varying delay systems”,Automatica,2004,40:1435–1439.
[7]H.N.Wu,H.X.Li,“New approach to delay-dependent stability analysis and stabilization for continuous-time fuzzy systems with time-varying delay”,IEEE Transactions on Fuzzy Systems,2007,15:482–493.
[8]H.B.Zeng,J.H.Park,J.W.Xia,S.P.Xiao,“Improved delaydependent stability criteria for T-S fuzzy systems with timevarying delay”,Applied Mathematics and Computation,2014,235:492–501.
[9]C.Peng,Q.L.Han,“Delay-range-dependent robust stabilization for uncertain T-S fuzzy control systems with interval timevarying delay”,Information Sciences,2011,181:4287–4299.
[10]K.Gu,V.L.Kharitonov,J.Chen,Stability of time-delay systems.Birkhauser,2003.
[11]A.Seuret,F.Gouaisbaut,“Wirtinger-based integral inequality:application to time-delay systems”,Automatica,2013,49:2860–2866.
[12]P.Park,W.Lee,S.Y.Lee,“Auxillary function-based integral inequalities for quadratic functions and their aoolications to time-delay systems”,Journal of the Franklin Institute Engineering and Applied Mathematics,2015,352:1378–1396.
[13]H.B.Zeng,Y.He,M.Wu,J.H.She,“Free-matrix-based integral inequality for stability analysis of systems with timevarying delay”,IEEE Transactions on Automatic Control,2015,60:2768–2772.
[14]C.H.Lien,K.W.Yu,W.D.Chen,Z.L.Wan,Y.J.Chung,“Stability criteria for uncertain Takagi-Sugeno fuzzy systems with interval time-varying delaly”,IET Control Theory and Applications,2007,1:764–769.
[15]J.Yang,W.P.Luo,J.Chen,Y.H.Wang,“Further improved stability criteria for uncertain T-S fuzzy systems with interval time-varying delay by delay-partitioning approach”,ISA Transactions,2015,58:27–34.
[16]L.Li,X.Liu,T.Chai,“New approaches on H∞control of T-S fuzzy systems with interval time-varyingd delay”,Fuzzy Sets and Systems,2009,160:1669–1688.
[17]F.Liu,M.Wu,Y.He,R.Yokoyamab,“Stability analysis for T-S fuzzy systems with time-varying delay via free-matrixbased integral inequality”,Fuzzy Sets and Systems,2010,161:2033–2042.
[18]P.G.Park,J.W.Ko,C.Jeong,“Reciprocally convex appraoch to stability of systems with time-varying delays”,Automatica,2011,47:235–238.
[19]A.Seuret,F.Gouaisbaut,E.Fridman,“Stabiity of systems with fast-varying delay using improved Wirtinger’s inequality”,In Proceedings of the 52nd IEEE Conference on Decision and Control,Florence,Italy,946–951,2013.
[20]E.Tian,C.Peng,“Delay-dependent stability analysis and synthesis of uncertain Takagi-Sugeno fuzzy systems with timevarying delay,”Fuzzy Sets and Systems,2006,157:544-559.
[21]E.Tian,D.Yue,Y.Zhang,“Delay-dependent robust H∞control for T-S fuzzy system with interval time-varying delay,”Fuzzy Sets and Systems 2009,160:1708-1719.
[22]F.O.Souza,V.C.S.Campos,R.M.Palhares,“On delaydependent stability conditions for Takagi-Sugeno fuzzy systems,”Journal of Franklin Institute 2014,351:3707-3718.