Robust reliable guaranteed cost piecewise fuzzy control for discrete-time nonlinear systems with time-varying delay and actuator failures

References

• Cao , Y. and Frank , P. 2000 . Analysis and synthesis of nonlinear time-delay systems via fuzzy control approach . IEEE transactions on fuzzy systems , 8 ( 4 ) : 406 – 415 .
   Web of Science ®Google Scholar
• Chen , B. and Liu , X. 2004 . Reliable control design of fuzzy dynamic systems with time-varying delay . Fuzzy sets and systems , 146 : 349 – 374 .
   Web of Science ®Google Scholar
• Chen , W. , Guan , Z. and Lu , X. 2004 . Delay-dependent guaranteed cost control for uncertain discrete-time systems with both state and input delays . Journal of the Franklin institute , 341 : 419 – 430 .
   Web of Science ®Google Scholar
• Chen , B. , Lin , C. , Liu , X. and Tong , S. 2008 . Guaranteed cost control of TS fuzzy systems with input delay . International journal of robust nonlinear control , 18 : 1230 – 1256 .
   Web of Science ®Google Scholar
• Chen , B. , Li , H. , Shi , P. , Lin , C. and Zhou , Q. 2009 . Delay-dependent stability analysis and controller synthesis for Markovian jump systems with state and input delays . Information sciences , 179 : 2851 – 2860 .
   Web of Science ®Google Scholar
• Feng , G. 2004 . Stability analysis of discrete-time fuzzy dynamic systems based on piecewise Lyapunov functions . IEEE transactions on fuzzy systems , 12 : 22 – 28 .
   Web of Science ®Google Scholar
• Gao , H. , Lam , J. , Wang , C. and Wang , Y. 2004 . Delay-dependent output-feedback stabilization of discrete-time systems with time-varying state delay . IEE proceedings: control theory and applications , 151 ( 6 ) : 691 – 698 .
   Google Scholar
• Guan , X. and Chen , C. 2004 . Delay-dependent guaranteed cost control for T–S fuzzy systems with time delays . IEEE transactions on fuzzy systems , 12 ( 2 ) : 239 – 249 .
   Web of Science ®Google Scholar
• Guerra , T. and Vermeiren , L. 2004 . LMI-based relaxed nonquadratic stabilization conditions for nonlinear systems in the Takagi–Sugeno's form . Automatica , 40 : 823 – 829 .
   Web of Science ®Google Scholar
• Hou , Y. , Liao , T. , Yan , J. and Lien , C. 2009 . Guaranteed cost control for uncertain nonlinear systems with time-varying delay using T–S fuzzy model . International journal of general systems , 38 ( 5 ) : 485 – 504 .
   Web of Science ®Google Scholar
• Johansson , M. , Rantzer , A. and Arzen , K. 1999 . Piecewise quadratic stability of fuzzy systems . IEEE transactions on fuzzy systems , 7 : 713 – 722 .
   Web of Science ®Google Scholar
• Kchaou , M. , Souissi , M. and Toumi , A. 2005 . guaranteed cost fuzzy control for nonlinear systems: An LMI approach . Studies in informatics and control , 14 ( 4 ) : 279 – 290 .
   Google Scholar
• Kim , E. and Lee , H. 2000 . New approaches to relaxed quadratic stability condition of fuzzy control systems . IEEE transactions on fuzzy systems , 8 ( 5 ) : 523 – 534 .
   Web of Science ®Google Scholar
• Li , T. , Guo , L. and Xin , X. 2009 . Improved delay-dependent bounded real lemma for uncertain time-delay systems . Information sciences , 179 : 3711 – 3737 .
   Web of Science ®Google Scholar
• Lien , C. and Yu , K. 2008 . Robust control for Takagi–Sugeno fuzzy systems with time-varying state and input delays . Chaos, solitons and fractals , 35 : 1003 – 1008 .
   Web of Science ®Google Scholar
• Liu , X. and Zhang , Q. 2003 . New approaches to controller designs based on observers for T–S fuzzy systems via LMI . Automatica , 39 : 1571 – 1582 .
   Web of Science ®Google Scholar
• Liu , X. , Martin , R. , Wu , M. and Tang , M. 2006 . Delay-dependent robust stabilisation of discrete-time systems with time-varying delay . IEEE process control theory and application , 153 ( 6 ) : 689 – 702 .
   Web of Science ®Google Scholar
• Mahmoud , M. and Al-Muthairi , N. 1994 . Quadratic stabilization of continuous time systems with state delay and norm-bounded time-varying uncertainties . IEEE transactions on automatic control , 39 : 2135 – 2139 .
   Web of Science ®Google Scholar
• Qiu , J. , Feng , G. and Yang , J. 2009 . Recent advances in intelligent control systems , London : Springer-Verlag .
   Google Scholar
• Takagi , T. and Sugeno , M. 1985 . Fuzzy identification of systems an its application to modelling and control . Transaction systems, man and cybernetics , 15 : 116 – 132 .
   Web of Science ®Google Scholar
• Tian , E. and Peng , C. 2006 . Delay-dependent stability analysis and synthesis of uncertain TS fuzzy systems with time-varying delay . Fuzzy sets and systems , 157 : 544 – 559 .
   Web of Science ®Google Scholar
• Tseng , C. 2006 . Model reference output feedback fuzzy tracking control design for nonlinear discrete-time systems with time-delay . IEEE transaction fuzzy systems , 14 ( 1 ) : 58 – 70 .
   Web of Science ®Google Scholar
• Wang , L. , Feng , G. and Hesketh , T. 2004a . Piecewise generalised controller synthesis of discrete-time fuzzy systems . IEE proceedings: Control theory and applications , 151 ( 5 ) : 554 – 560 .
   Google Scholar
• Wang , R. , Lin , W. and Wang , W. 2004b . Stability of linear quadratic state feedback for uncertain fuzzy time-delay system . IEEE transactions on systems, man and cybernetics part B , 34 ( 2 ) : 1288 – 1292 .
   PubMed Web of Science ®Google Scholar
• Wu , H. 2004 . Reliable LQ fuzzy control for nonlinear discrete-time systems via LMIs . IEEE transactions on systems, man and cybernetics part B: Cybernetics , 34 : 1270 – 1275 .
   PubMed Web of Science ®Google Scholar
• Wu , H. 2007 . Delay-dependent fuzzy observer-based control for discrete-time nonlinear systems with state delay . Fuzzy sets and systems , 159 : 2696 – 2712 .
   Web of Science ®Google Scholar
• Wu , H. and Cai , K. 2006 . guaranteed cost fuzzy control design for discrete-time nonlinear systems with parameter uncertainty . Automatica , 42 : 1183 – 1188 .
   Web of Science ®Google Scholar
• Wu , H. and Zhang , H. 2005 . Reliable mixed fuzzy static output feedback control for nonlinear systems with sensor faults . Automatica , 41 : 1925 – 1932 .
   Web of Science ®Google Scholar
• Wu , H. and Zhang , H. 2007 . Reliable fuzzy control for a class of discrete-time nonlinear systems using multiple fuzzy Lyapunov functions . IEEE transactions on circuits and systems-II , 54 ( 4 ) : 357 – 361 .
   Google Scholar
• Xia , Z. , Li , J. and Li , J. Delay-dependent generalised resilient control for discrete-time fuzzy systems with both state and input delays . pp. 18 – 21 . Proceedings of the IEEE international conference on automation and logistics, 18–21 August
   Google Scholar
• Xie , L. 1996 . Output feedback control of systems with parameters uncertainties . International journal of control , 63 ( 4 ) : 741 – 750 .
   Web of Science ®Google Scholar
• Xu , S. and Lam , J. 2005 . Robust control for uncertain discrete-time-delay fuzzy systems via output feedback controllers . IEEE transactions on fuzzy systems , 13 ( 1 ) : 82 – 93 .
   Web of Science ®Google Scholar
• Yang , S. , Zhengrong , X. , Qingwei , C. and Weili , H. 2006 . Robust reliable control of switched uncertain systems with time-varying delay . International journal of systems science , 37 ( 15 ) : 1077 – 1087 .
   Web of Science ®Google Scholar
• Ye , D. and Yang , G. 2009 . Delay-dependent adaptive reliable control of linear time-varying delay systems . International journal robust nonlinear control , 19 : 462 – 479 .
   Web of Science ®Google Scholar
• Yu , L. 2005 . An LMI approach to reliable guaranteed cost control of discrete-time systems with actuator failure . Applied mathematics and computation , 162 : 1325 – 1331 .
   Web of Science ®Google Scholar
• Yu , L. and Chu , J. 1999 . An LMI approach to guaranteed cost control of linear uncertain time-delay systems . Automatica , 35 : 1155 – 1159 .
   Web of Science ®Google Scholar
• Yuan , Y. , Yuan , Z. , Zhang , Q. and Chen , D.Z.B. 2006 . “ Reliable control of fuzzy descriptor systems with time-varying delay ” . In International conference on fuzzy systems and knowledge discovery , Edited by: J.G. , Carbonell , Mellon , C. and Siekmann , J. Vol. 4233 , 169 – 178 . Berlin : Springer-Verlag .
   Google Scholar
• Zhang , H. and Dang , C. 2008 . Piecewise controller design of uncertain discrete-time fuzzy systems with time delays . IEEE transactions on fuzzy systems , 16 ( 6 ) : 1649 – 1655 .
   Web of Science ®Google Scholar
• Zhang , B. and Xu , S. 2009 . Delay-dependent robust control for uncertain discrete-time fuzzy systems with time-varying delays . IEEE transactions on fuzzy systems , 17 ( 4 ) : 809 – 823 .
   Web of Science ®Google Scholar
• Zhang , J. , Xia , Y. , Shi , P. and Qiu , J. 2009 . output feedback control design for discrete-time fuzzy systems . Optimal control applications and methods , 30 : 415 – 437 .
   Web of Science ®Google Scholar
• Zhou , S. and Li , T. 2005 . Robust stabilization for delayed discrete-time fuzzy systems via basis-dependent Lyapunov–Krasovskii function . Fuzzy sets and systems , 151 : 139 – 153 .
   Web of Science ®Google Scholar