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International Journal of Control Volume 76, 2003 - Issue 2
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Original Articles

Robust stabilization for a class of discrete-time non-linear systems via output feedback: The unified LMI approach

Daniel W. C. Ho Department of Mathematics, City University of Hong Kong, 83, Tat Chee Ave., Hong Kong E-mail: [email protected]
&
Guoping Lu Department of Applied Mathematics, Nantong Institute of Technology, Jiangsu, Nantong, 226007, China E-mail: [email protected]
Pages 105-115 | Published online: 08 Nov 2010

  • BOYD , S. P. , GHAOUI , L. E. , FERON , E. and BALAKRISHNAM , V. 1994 . Linear Matrix Inequalities in System and Control Theory , Vol. 15 , Philadelphia, PA : SIAM .
  • GAHINET , P. , NEMIROVSKI , A. , LAUB , A. J. and CHILALI , M. 1995 . LMI Control Toolbox , The Math Works Inc. .
  • GARCIA , G. , BERNUSSOU , J. and ARZELIER , D. 1994 . Robust stabilization of discrete-time linear systems with normbounded time-varying uncertainty . Systems and Control Letters , 22 : 327 – 339 .
  • GU , K. Q. 1994 . Designing stabilizing control of uncertain systems by quasiconvex optimization . IEEE Transactions an Automatic Control , 39 : 127 – 131 .
  • HALICKA , M. and ROSINOVA , D. 1994 . Stability robustness bound estimates of discrete systems: analysis and comparison . International journal of Control , 60 : 297 – 314 .
  • PETERSEN , I. R. and HOLLOT , C. V. 1986 . A Riccati equation approach to the stabilization of uncertain linear systems . Automatica , 22 : 397 – 411 .
  • SILIAK , D. D. 1991 . Decentralized Control of Complex Systems , Boston, MA : Academic Press .
  • SILIAK , D. D. and STIPANOVIC , D. M. 2000 . Robust stabilization of nonlinear systems: The LMI approach . Mathematical Problems in Engineering , 6 : 461 – 493 .
  • STIPANOVIC , D. M. and SILJAK , D. D. 2001 . Robust stability and stabilization of discrete-time nonlinear systems: the LMI approach . International Journal of Control , 74 : 873 – 879 .
  • WU , H. and MIZUKAMI , K. 1996 . Linear and nonlinear stabilizing continuous controllers of uncertain dynamical systems including state delay . IEEE Transactions on Automatic Control , 41 : 116 – 121 .
  • XU , S. Y. , LAM , J. and YANG , C. W. 2001 . Quadratic stability and stabilization of uncertain linear discrete-time systems with state delay . Systems and Control Letters , 43 : 77 – 84 .
  • YAKUBOVICH , V. A. 1977 . S-procedure in nonlinear control theory . Vestnick Leningrad Univ. Math. , 4 : 73 – 93 . [English translation]
  • YAZ , E. and NIU , X. 1989 . Stability robustness of linear discrete-time systems in the presence of uncertainty . International Journal of Control , 50 : 173 – 182 .
  • YUAN , L. , ACHENIE , L. E. K. and JIANG , W. S. 1996 . Robust H 8 control for linear discrete-time systems with normbounded time-varying uncertainty . Systems and Control Letters , 27 : 199 – 208 .
  • ZENG , X. J. 1995 . Robust stability for linear discrete-time systems with structure perturbations . International Journal of Control , 61 : 739 – 748 .

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