State-feedback stabilisation for fuzzy bilinear uncertain system with disturbance via fuzzy control approach

References

• Chen , MS and Chen , CC . 2008 . Output Feedback Control of Bilinear Systems via a Bilinear LTR Observer . IEEE Transactions on Automatic Control , 53 : 617 – 621 .
   Web of Science ®Google Scholar
• Chen , B , Lin , C , Liu , X and Tong , S . 2008a . Guaranteed Cost Control of T-S Fuzzy Systems with Input Delay . International Journal of Robust and Nonlinear Control , 18 : 1230 – 1256 .
   Web of Science ®Google Scholar
• Chen , B , Lin , XP , Tong , SC and Lin , C . 2008b . Observer-based Stabilization of T-S Fuzzy Systems with Input Delay . IEEE Transactions on Fuzzy System , 16 : 652 – 663 .
   Web of Science ®Google Scholar
• Chen , CY , Li , THS and Yeh , YC . 2009 . EP-based Kinematic Control and Adaptive Fuzzy Sliding-mode Dynamic Control for Wheeled Mobile Robots . Information Sciences , 179 : 180 – 195 .
   Web of Science ®Google Scholar
• Chen , PC , Wang , CH and Lee , TT . 2011 . Robust Adaptive Self-structuring Fuzzy Control Design for Nonaffine, Nonlinear Systems . International Journal of System Science , 42 : 149 – 169 .
   Web of Science ®Google Scholar
• Elliott , DL . 1999 . Bilinear Systems in Encyclopedia of Electrical Engineering , New York : Wiley .
   Google Scholar
• Gassara , H , Hajjaji , AE and Chaabane , M . 2010 . Robust H∞ Control for T–S Fuzzy Systems with Time-varying Delay . International Journal of System Science , 41 : 1481 – 1491 .
   Web of Science ®Google Scholar
• Guo , P . 2009 . Fuzzy Data Envelopment Analysis and its Application to Location Problems . Information Sciences , 179 : 820 – 829 .
   Web of Science ®Google Scholar
• Hanba , S . 2008 . Stabilization of Continuous-time Homogeneous Bilinear Systems by Constant Inputs through Nonlinear Minimization with Applications to the Static Output Feedback Stabilization Problem . International Journal of Robust and Nonlinear Control , 18 : 705 – 713 .
   Web of Science ®Google Scholar
• Hien , LV . 2010 . Exponential Stability and Stabilisation of Fuzzy Time-varying Delay Systems . International Journal of System Science , 41 : 1155 – 1161 .
   Web of Science ®Google Scholar
• Huang , D and Nguang , SK . 2007 . Static Output Feedback Controller Design for Fuzzy Systems: An ILMI Approach . Information Sciences , 177 : 3005 – 3015 .
   Web of Science ®Google Scholar
• Kim , BS , Kim , YJ and Lim , MT . 2005 . Robust H ∞ State Feedback Control Methods for Bilinear Systems . IEEE Transactions on Automatic Control , 152 : 553 – 559 .
   Google Scholar
• Lauber , J , Guerra , TM and Dambrine , M . 2011 . Air-fuel Ratio Control in a Gasoline Engine . International Journal of System Science , 42 : 277 – 286 .
   Web of Science ®Google Scholar
• Lee , HJ , Park , JB and Chen , G . 2001 . Robust Fuzzy Control of Nonlinear Systems with Parametric Uncertainties . IEEE Transactions on Fuzzy System , 9 : 369 – 379 .
   Web of Science ®Google Scholar
• Li , THS and Tsai , SH . 2007 . T-S Fuzzy Bilinear Model and Fuzzy Controller Design for a Class of Nonlinear Systems . IEEE Transactions on Fuzzy Systems , 15 : 494 – 506 .
   Web of Science ®Google Scholar
• Li , THS , Tsai , SH and Hsiao , MY . 2009 . Robust H ∞ Fuzzy Control for a Class of Time-delay Fuzzy Bilinear Systems with an Additive Disturbance . International Journal of Nonlinear Sciences and Numerical Simulation , 10 : 313 – 321 .
   Google Scholar
• Li , THS , Tsai , SH , Lee , JZ , Hsiao , MY and Chao , CH . 2008 . Robust H ∞ Fuzzy Control for a Class of Uncertain Discrete Fuzzy Bilinear Systems . IEEE Transactions on Systems, Man and Cybernetics, Part B , 38 : 510 – 527 .
   PubMed Web of Science ®Google Scholar
• Li , P and Yang , GH . 2011 . A Novel Adaptive Control Approach for Nonlinear Strict-feedback Systems using Nonlinearly Parameterised Fuzzy Approximators . International Journal of System Science , 42 : 517 – 527 .
   Web of Science ®Google Scholar
• Lo , JC and Lin , ML . 2006 . Robust H ∞ Control for Fuzzy Systems with Frobenius Norm-bounded Uncertainties . IEEE Transactions on Fuzzy System , 14 : 1 – 15 .
   Web of Science ®Google Scholar
• Mansouri , B , Manamanni , N , Guelton , K , Kruszewski , A and Guerra , TM . 2009 . Output Feedback LMI Tracking Control Conditions with H ∞ Criterion for Uncertain and Disturbed T-S Models . Information Sciences , 179 : 446 – 457 .
   Web of Science ®Google Scholar
• Mohler , RR . 1991 . Application to Bilinear Control-Nonlinear Systems , Vol. 2 , Englewood Cliffs , NJ : Prentice-Hall .
   Google Scholar
• Nie , SL , Hu , B , Li , YP , Hu , Z and Huang , GH . 2011 . Identification of Filter Management Strategy in Fluid Power Systems Under Uncertainty: An Interval-Fuzzy Parameter Integer Nonlinear Programming Method . International Journal of System Science , 42 : 429 – 448 .
   Web of Science ®Google Scholar
• Nguang , SK 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 .
   Web of Science ®Google Scholar
• Saoudi , D . Mechmeche, C., and Benhadj Braiek, N. (2010), ‘T-S Fuzzy Bilinear Observer for a Class of Nonlinear System’, in 18th Mediterranean Conference on Control and Automation, Marrakech, Morocco
   Google Scholar
• Song , X , Xu , S and Shen , H . 2008 . Robust H ∞ Control for Fuzzy Uncertain Systems with Distributed Delays via Output Feedback Controllers . Information Sciences , 178 : 4341 – 4356 .
   Web of Science ®Google Scholar
• Tanaka , K and Wang , HO . 2001 . A Linear Matrix Inequality Approach. Fuzzy Control Systems Design and Analysis , New York : Wiley .
   Google Scholar
• Teixeira , M , Assunçao , E and Avellar , R . 2003 . On Relaxed LMI-based Design for Fuzzy Regulators and Fuzzy Observers . IEEE Transactions on Fuzzy Systems , 11 : 613 – 623 .
   Web of Science ®Google Scholar
• Tsai , ZR , Chang , YZ , Hwang , JD and Lee , J . 2008 . Robust Fuzzy Stabilization of Dithered Chaotic Systems using Island-based Random Optimization Algorithm . Information Sciences , 178 : 1171 – 1188 .
   Web of Science ®Google Scholar
• Tsai , SH and Li , THS . 2009 . Robust Fuzzy Control of a Class of Fuzzy Bilinear Systems with Time-delay . Chaos, Solitons and Fractals , 39 : 2028 – 2040 .
   Web of Science ®Google Scholar
• Wang , LX . 1994 . Adaptive Design and Stability Analysis Fuzzy Systems and Control , Englewood Cliffs , NJ : Prentice-Hall .
   Google Scholar
• Wu , HN . 2009 . H ∞ Fuzzy Control Design of Discrete-time Nonlinear Active Fault-tolerant Control Systems . International Journal of Robust and Nonlinear Control , 19 : 532 – 551 .
   Web of Science ®Google Scholar
• Xu , S and Lam , J . 2005 . Robust H ∞ Control for Uncertain Discrete-time-delay Fuzzy Systems via Output Feedback Controllers . IEEE Transactions on Fuzzy System , 13 : 82 – 93 .
   Web of Science ®Google Scholar
• Yang , D and Cai , KY . 2011 . Finite-time Reliable Guaranteed Cost Fuzzy Control for Discrete-time Nonlinear Systems . International Journal of System Science , 42 : 121 – 128 .
   Web of Science ®Google Scholar
• Yang , Z and Yang , YP . 2010 . New Delay-Dependent Stability Analysis and Synthesis of T-S Fuzzy Systems with Time-varying Delay . International Journal of Robust and Nonlinear Control , 20 : 313 – 322 .
   Web of Science ®Google Scholar
• Yoneyama , J . (2010), ‘Stabilization of Takagi-Sugeno fuzzy bilinear time-delay systems’, in IEEE International Symposium on Intelligent Control Part of 2010 IEEE Multi-Conference on Systems and Control, Yokohama, Japan
   Google Scholar
• Yousef , H , Hamdy , M and EI-Madbouly , E . 2010 . Robust Adaptive Fuzzy Semi-decentralized Control for a Class of Large-scale Nonlinear Systems using Input–Output Linearization Concept . International Journal of Robust and Nonlinear Control , 20 : 27 – 40 .
   Web of Science ®Google Scholar