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Original Articles

Stability Analysis of a Type of Takagi-Sugeno PI Fuzzy Control Systems Using Circle Criterion

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Pages 196-207 | Received 11 Mar 2010, Accepted 21 Oct 2010, Published online: 12 Mar 2012

References

  • Chen , G. 1996 . Conventional and fuzzy PID controllers: An overview . Intelligent Control and System , 1 : 235 – 246 .
  • Åström , K. J. and Hagglund , T. 2001 . The future of PID control . Control Engineering Practice , 9 ( 11 ) : 1163 – 1175 .
  • Deshpande , P. B. and Ash , R. H. 1983 . Elements of Computer Process Control with Advanced Control Applications , Englewood , NJ : Prentice-Hall .
  • Panagopoulos , H. and Åström , K. J. 2000 . PID control design and H∞ loop shaping . International Journal of Robust and Nonlinear Control , 10 : 1249 – 1261 .
  • Karimi , A. , Garcia , D. and Longchamp , R. 2003 . PID controller tuning using Bode's integrals . IEEE Transactions on Control Systems Technology , 11 ( 6 ) : 812 – 821 .
  • Toscano , R. 2005 . A simple robust PI/PID controller design via numerical optimization approach . Journal of Process Control , 15 : 81 – 88 .
  • Liu , G. P. and Daley , S. 2001 . Optimal-tuning PID control for industrial systems . Control Engineering Practice , 9 : 1185 – 1194 .
  • Cominos , P. and Munro , N. 2002 . PID controllers: Recent tuning methods and design to specification . IEE Proceedings- Control Theory and Applications , 149 ( 1 ) : 46 – 53 .
  • Tanaka , K. and Wang , H. O. 2001 . Fuzzy Control Systems Design and Analysis: A Linear Matrix Inequality Approach , NY : (Wiley .
  • Lopez , V. , Santos , M. and Montero , J. 2010 . Fuzzy specification in real estate market decision making . International Journal of Computational Intelligence Systems , 3 ( 1 ) : 8 – 20 .
  • Li , D. F. 2010 . A ranking method of triangular intuitionistic fuzzy numbers and application to decision making . International Journal of Computational Intelligence Systems , 3 ( 5 ) : 522 – 541 .
  • Mitra , S. and Pal , S. K. 2005 . Fuzzy sets in pattern recognition and machine intelligence . Fuzzy Sets and Systems , 156 ( 3 ) : 381 – 386 .
  • Brouwer , R. K. 2010 . Fuzzy relational fixed point clustering . International Journal of Computational Intelligence Systems , 2 ( 1 ) : 69 – 82 .
  • Sugeno , M. and Taniguchi , T. 2004 . On improvement of stability conditions for continuous Mamdani-like fuzzy systems . IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics , 34 ( 1 ) : 120 – 131 .
  • Mamdani , E. H. 1974 . Application of fuzzy algorithms for simple dynamic plant . Proceedings of IEE , 121 ( 12 ) : 1585 – 1588 .
  • Takagi , T. and Sugeno , M. 1985 . Fuzzy identification of system and its applications to modeling and control . IEEE Transactions on Systems, Man, and Cybernetics , 15 ( 1 ) : 116 – 132 .
  • Katoh , R. , Yamashita , T. and Singh , S. 1995 . Stability analysis of control system having PD type of fuzzy controller . Fuzzy Sets and Systems , 74 : 321 – 334 .
  • Guerra , R. E. H. , Braess , R. S. , Haber , R. H. , Alique , A. and Alique , J. R. 2003 . Using circle criteria for verifying asymptotic stability in PI-like fuzzy control systems: application to the milling process . IEE Proceedings-Control Theory and Applications , 150 ( 6 ) : 619 – 627 .
  • Aracil , J. and Gordillo , F. 2004 . Describing function method for stability analysis of PD and PI fuzzy controllers . Fuzzy Sets and Systems , 143 : 233 – 249 .
  • Misir , D. , Malki , H. A. and Chen , G. R. 1996 . Design and analysis of a fuzzy proportional-integral-derivative controller . Fuzzy Sets and Systems , 79 : 297 – 314 .
  • Choi , B. J. , Kwak , S. W. and Kim , B. K. 1999 . Design of a single- input fuzzy logic controller and its properties . Fuzzy Sets and Systems , 106 : 299 – 308 .
  • Carvajal , J. , Chen , G. R. and Ogmen , H. 2000 . Fuzzy PID controller: Design, performance evaluation, and stability analysis . Information Sciences , 123 : 249 – 270 .
  • Cuesta , F. , Gordillo , F. , Aracil , J. and Ollero , A. 1999 . Stability analysis of nonlinear multivariable Takagi-Sugeno fuzzy control systems . IEEE Transactions on Fuzzy Systems , 7 ( 5 ) : 508 – 520 .
  • Nguang , S. K. and Shi , P. 2006 . Robust H∞ output feedback control design for fuzzy dynamic systems with quadratic D stability constraints: An LMI approach . Information Sciences , 176 : 2161 – 2191 .
  • Ban , X. J. , Gao , X. Z. , Huang , X. L. and Vasilakos , A. V. 2007 . Stability analysis of the simplest Takagi-Sugeno fuzzy control system using circle criterion . Information Sciences , 177 : 4387 – 4409 .
  • Ban , X. J. , Gao , X. Z. , Huang , X. L. and Yin , H. 2007 . Stability analysis of the simplest Takagi-Sugeno fuzzy control system using Popov criterion . International Journal of Innovative Computing, Information and Control , 3 ( 5 ) : 1087 – 1096 .
  • Ding , Y. S. , Ying , H. and Shao , S. H. 2003 . Typical Takagi- Sugeno PI and PD fuzzy controllers: Analytical structures and stability analysis . Information Sciences , 151 : 245 – 262 .
  • Precup , R. E. and Preitl , S. 2007 . PI-Fuzzy controllers for integral plants to ensure robust stability . Information Sciences , 177 : 4410 – 4429 .
  • Kharitonov , V. L. 1979 . Asymptotic stability of an equilibrium position of a family of systems of linear differential equations . Differential Equations , 14 ( 11 ) : 1483 – 1485 .
  • Gelf , I. M. and Fomin , S. V. 2000 . Calculus of Variations , Dover Publications .
  • Ying , H. 2000 . Theory and application of a novel fuzzy PID controller using a simplified Takagi-Sugeno rule scheme . Information Sciences , 123 : 281 – 293 .
  • Mudi , R. K. and Pal , N. R. 1999 . A robust self-tuning scheme for PI- and PD-type fuzzy controllers . IEEE Transactions on Fuzzy Systems , 7 ( 1 ) : 2 – 16 .
  • Khalil , H. K. 2002 . Nonlinear Systems , 3nd edn , NJ : Prentice-Hall .

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