Adaptive fuzzy controller for non-affine systems with zero dynamics

References

• Barbot , JP , Boukhobza , T and Djemai , M . 1996 . “Sliding-mode Observer for Triangular Input Form,” . In Proceedings of the 35th CDC 1489 – 1490 . Kope, , Japan
   Google Scholar
• Boskovic , JD , Chen , L and Mehra , R . 2001 . “Adaptive Tracking Control of a Class of Nonaffine Plants Using Dynamic Feedback,” . In Proceedings of the ACC 2450 – 2455 .
   Google Scholar
• Calise , AJ , Hovakimyan , N and Idan , M . 2001 . Adaptive Output Feedback Control of Nonlinear Systems Using Neural Networks . Automatica , 37 : 1201 – 1211 .
   Web of Science ®Google Scholar
• Calvet , JP . 1989 . “A Differential Geometric Approach for the Nominal and Robust Control of Nonlinear Chemical Process,” . In Ph.D. dissertation , Atlanta, GA : Georgia Institute of Technology, School Chem. Eng. .
   Google Scholar
• Cao , YJ . 2000 . A nonlinear Adaptive Approach to Controlling Chaotic Oscillators . Physics Letters A , 270 : 171 – 176 .
   Web of Science ®Google Scholar
• Castro , JL . 1995 . Fuzzy Logic Controllers are Universal Approximators . IEEE Transactions on Systems, Man, and Cybernetics , 25 : 629 – 635 .
   Web of Science ®Google Scholar
• Chang , YC . 2001 . Adaptive Fuzzy-based Tracking Control for Nonlinear SISO Systems via VSS and H ∞ Approaches . IEEE Transactions on Fuzzy Systems , 9 : 278 – 292 .
   Web of Science ®Google Scholar
• Chao , PCP , Sung , CK , Huang , CL and Huang , JS . 2005 . Precision Repositioning of the Balancing Ball in an Auto-balancer System via a Fuzzy Speed Regulator Equipped with a Sliding-mode Observer . IEEE Transations on Control Systems Technology , 13 : 1107 – 1118 .
   Google Scholar
• Chen , BS , Lee , CH and Chang , YC . 1996 . H ∞ Tracking Design of Uncertain Nonlinear SISO Systems: Adaptive Fuzzy Approach . IEEE Transactions on Fuzzy Systems , 4 : 32 – 43 .
   Web of Science ®Google Scholar
• Du , H , Shao , H and Yao , P . 2006 . Adaptive Neural Network Control for a Class of Low-triangular-structured Nonlinear Systems . IEEE Transactions on Neural Networks , 17 : 509 – 514 .
   PubMed Web of Science ®Google Scholar
• Farza , M and M'saad , M . 2004 . Observer Design for a Class of MIMO Nonlinear Systems . Automatica , 40 : 135 – 143 .
   Web of Science ®Google Scholar
• Farza , M , M'saad , M and Sekher , M . 2005 . “A Set of Observers for a Class of Nonlinear Systems,” . In Proceedings of the IFAC Word Congress Prague, , Czech Republic
   Google Scholar
• Filipescu , A , Dugard , L and Dion , JM . 2003 . “Adaptive Gain Sliding-mode Observer Based Sliding Controller for Uncertain Parameters Nonlinear Systems: Application to Flexible Joint Robots,” . In Proceedings of the 42nd CDC 3537 – 3542 .
   Google Scholar
• Ge , SS , Hang , CC and Zhang , T . 1999 . Adaptive Neural Networks Control of Nonlinear Systems by State and Output Feedback . IEEE Transactions on Systems, Man, and Cybernetics-Part B: Cybernetics , 29 : 818 – 828 .
   PubMed Web of Science ®Google Scholar
• Ge , SS and Zhang , C . 2002 . Adaptive NN Control of Uncertain Nonlinear Pure-feedback Systems . Automatica , 38 : 1365 – 1372 .
   Google Scholar
• Ge , SS and Zhang , J . 2003 . Neural-Network Control of Nonaffine Nonlinear System with Zero Dynamics by State and Output Feedback . IEEE Transactions on Neural Networks , 14 : 900 – 918 .
   PubMed Web of Science ®Google Scholar
• Hahn , W . 1967 . Stability of Motion , Berlin : Springer-Verlag .
   Google Scholar
• Hornik , K . 1989 . Multilayer Feedforward Networks are Universal Approximators . Neural Network , 2 : 359 – 366 .
   Web of Science ®Google Scholar
• Hovakimyan , N , Calise , AJ and Kim , N . 2004 . Adaptive Output Feedback Control of a Class of Multi-input Multi-ouput Systems Using Neural Networks . International Journal of Control , 77 : 1318 – 1329 .
   Web of Science ®Google Scholar
• Ioannou , PA and Kokotovic , PV . 1984 . Instability Analysis and Improvement of Robustness of Adaptive Control . Automatica , 20 : 583 – 594 .
   Web of Science ®Google Scholar
• Ioannou , PA and Sun , J . 1996 . Robust Adaptive Control , Englewood Cliffs, NJ : Prentice-Hall .
   Google Scholar
• Isidori , A . 1989 . Nonlinear Control System , Berlin : Springer-Verlag .
   Google Scholar
• Khalil , H . 1996 . Nonlinear Systems , London : Prentice-Hall .
   Google Scholar
• Labiod , S and Guerra , TM . 2007 . Adaptive Fuzzy Control for a Class of SISO Nonaffine Nonlinear Systems . Fuzzy Sets and Systems , 177 : 3901 – 3917 .
   Google Scholar
• Leu , YG , Lee , TT and Wang , WY . 1999 . Observer-based Adaptive Fuzzy-neural Control for Unknown Nonlinear Dynamical Systems . IEEE Transactions on Systems, Man Cybernet. Part B: Cybernetics , 29 : 583 – 591 .
   PubMed Web of Science ®Google Scholar
• Leu , YG , Wang , WY and Lee , TT . 2005 . Observer-based Direct Adaptive Fuzzy-neural Control for Nonaffine Nonlinear Systems . IEEE Transactions on Neural Networks , 16 : 853 – 861 .
   PubMed Web of Science ®Google Scholar
• Li , HX and Tong , S . 2003 . A Hybrid Fuzzy Adaptive Control for a Class of Nonlinear MIMO Systems . IEEE Transactions on Fuzzy Systems , 11 : 24 – 34 .
   Web of Science ®Google Scholar
• Liu , YJ and Wang , W . 2007 . Adaptive Fuzzy Control for a Class of Uncertain Nonaffine Nonlinear Systems . Information Sciences , 177 : 3901 – 3917 .
   Web of Science ®Google Scholar
• Park , JH and Park , GT . 2003a . Adaptive Fuzzy Observer with Minimal Dynamic Order for Uncertain Nonlinear Systems . IEE Proceedings on Control Theory and Applications , 150 : 189 – 197 .
   Google Scholar
• Park , JY and Park , GT . 2003b . Robust Adaptive Fuzzy Controller for Nonaffine Nonlinear Systems with Dynamic Rules Activation . International Journal of Robust Nonlinear Control , 13 : 117 – 139 .
   Web of Science ®Google Scholar
• Park , JH and Kim , SH . 2004 . Direct Adaptive Output Feedback Fuzzy Controller for a Non affine of Nonlinear Systems . IEE Proceedings on Control Theory and Applications , 151 : 65 – 72 .
   Google Scholar
• Park , JH , Park , GT , Kim , SH and Moon , CJ . 2005a . Output Feedback Control of Uncertain Nonlinear Systems Using a Self-structuring Adaptive Fuzzy Observer . Fuzzy Sets and Systems , 151 : 21 – 42 .
   Web of Science ®Google Scholar
• Park , JH , Huh , SH , Kim , SH , Seo , SJ and Park , GT . 2005b . Direct Adaptive Controller for Nonaffine Nonlinear Systems Using Self-structuring Neural Networks . IEEE Transactions on Neural Networks , 16 : 414 – 422 .
   PubMed Web of Science ®Google Scholar
• Purwar , S , Kar , IN and Jha , AN . 2005 . Adaptive Control of Robot Manipulators Using Fuzzy Logic Systems Under Actuator Constraints . Fuzzy Sets and Systems , 152 : 651 – 664 .
   Google Scholar
• Seshagiri , S and Khalil , HK . 2000 . Output Feedback Control of Nonlinear Systems Using RBF Neural Networks . IEEE Transactions on Neural Network , 11 : 69 – 79 .
   PubMed Web of Science ®Google Scholar
• Spooner , JT and Passino , KV . 1996 . Stable Adaptive Control Using Fuzzy Systems and Neural Networks . IEEE Transactions on Fuzzy Systems , 4 : 339 – 359 .
   Web of Science ®Google Scholar
• Sue , CY and Stepanenko , Y . 1994 . Adaptive Control of a Class of Nonlinear Systems with Fuzzy Logic . IEEE Transactions on Fuzzy Systems , 2 : 285 – 294 .
   Google Scholar
• Tong , S and Li , HX . 2002 . Direct Adaptive Fuzzy Output Tracking Control of Nonlinear Systems . Fuzzy Sets and Systems , 128 : 107 – 115 .
   Web of Science ®Google Scholar
• Tong , S , Li , HX and Wang , W . 2004 . Observer-based Adaptive Fuzzy Control for SISO Nonlinear Systems . Fuzzy Sets and Systems , 148 : 355 – 376 .
   Web of Science ®Google Scholar
• Wang , LX and Mendel , JM . 1992 . Fuzzy Basis Functions, Universal Approximation, and Orthogonal Least Square Learning . IEEE Transactions on Neural Networks , 3 : 807 – 814 .
   PubMed Web of Science ®Google Scholar
• Wang , LX . 1994 . Adaptive Fuzzy Systems and Control: Design and Stability Analysis , Englewood Cliffs, NJ : Prentice-Hall .
   Google Scholar
• Wang , WY , Leu , YG and Lee , TT . 2003 . Output-feedback Control of Nonlinear Systems using Direct Adaptive Fuzzy-neural Controller . Fuzzy Sets and Systems , 140 : 341 – 358 .
   Google Scholar
• Xiong , Y and Saif , M . 2001 . Sliding-mode Observer for Nonlinear Uncertain Systems . IEEE Transactions on Automatic Control , 46 : 2012 – 2017 .
   Web of Science ®Google Scholar
• Zhang , T and Guay , M . 2003 . Adaptive Control for a Class of Second-order Nonlinear Systems with Unknown Input Nonlinearities . IEEE Transactions on System, Man, and Cybernetics B, Cybernetics , 33 : 143 – 149 .
   PubMed Web of Science ®Google Scholar