Improved observer-based fault estimator design for a class of T-S fuzzy systems

References

• Assawinchaichote , W , Nguang , SK and Shi , P . 2006 . “ Robust H ∞ Fuzzy Filter Design for Uncertain Fuzzy Systems ” . In Fuzzy Control and Filter Design for Uncertain Fuzzy Systems , Edited by: Thoma , M and Morari , M . 33 – 45 . Berlin , , Germany : Springer-Verlag .
   Google Scholar
• Boyd , S , Ghaoui , LE , Feron , E and Balakrishnan , V . 1994 . ‘SIAM Studies in Applied Mathematics’, Vol. 15’, Linear Matrix Inequalities in System and Control Theory, , Vol. 15 , Philadelphia, PA , , USA : SIAM .
   Google Scholar
• Chadli , M , Akhenak , A , Ragot , J and Maquin , D . 2009 . State and Unknown Input Estimation for Discrete Time Multiple Model . Journal of the Franklin Institute , 346 : 593 – 610 .
   Web of Science ®Google Scholar
• Chang , JL . 2006 . Applying Discrete-time Proportional Integral Observers for State and Disturbance Estimations . IEEE Transactions on Automatic Control , 51 : 814 – 818 .
   Web of Science ®Google Scholar
• Chen , J , Lopez-Toribio , CJ and Patton , RJ . 1999 . Nonlinear Dynamic Systems Fault Detection and Isolation using Fuzzy Observers . Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering , 213 : 467 – 476 .
   Web of Science ®Google Scholar
• Chen , J and Patton , RJ . 1999 . Robust Model-based Fault Diagnosis for Dynamic Systems , Boston , MA : Kluwer Academic .
   Google Scholar
• Chen , W and Saif , M . 2007 . Observer-based Fault Diagnosis of Satellite Systems Subject to Time-varying Thruster Faults . Transaction of the ASME, Journal of Dynamic Systems, Measurement and Control , 129 : 352 – 356 .
   Web of Science ®Google Scholar
• Delmotte , F , Guerra , TM and Kruszewski , A . 2008 . Discrete Takagi-sugeno's Fuzzy Models: Reduction of the Number of LMI in Fuzzy Control Techniques . IEEE Transactions on Systems, Man, and Cybernetics-Part B: Cybernetics , 38 : 1423 – 1427 .
   PubMed Web of Science ®Google Scholar
• Delmotte , F , Guerra , TM and Ksantini , M . 2007 . Continuous Takagi-sugeno's Models: Reduction of the Number of LMI Conditions in Various Fuzzy Control Design Technics . IEEE Transactions on Fuzzy Systems , 15 : 426 – 438 .
   Web of Science ®Google Scholar
• Fekih , A , Xu , H and Chowdhury , F . 2007 . Neural Networks Based System Identification Techniques for Model Based Fault Detection of Nonlinear Systems . International Journal of Innovative Computing, Information and Control , 3 : 1073 – 1085 .
   Web of Science ®Google Scholar
• Feng , G . 2006 . A Survey on Analysis and Design of Model-based Fuzzy Control Systems . IEEE Transactions on Fuzzy Systems , 14 : 676 – 697 .
   Web of Science ®Google Scholar
• Frank , PM . 1990 . Fault Diagnosis in Dynamic Systems using Analytic and Knowledge-based Redundancy – a Survey and Some New Results . Automatica , 26 : 459 – 474 .
   Web of Science ®Google Scholar
• Frank , PM and Ding , SX . 1997 . Survey of Robust Residual Generation and Evaluation Methods in Observer-based Fault Detection Systems . Journal of Process Control , 7 : 403 – 424 .
   Web of Science ®Google Scholar
• Frank , PM , Ding , SX and Marcu , T . 2000 . Model-based Fault Diagnosis in Technical Processes . Transactions of the Institute of Measurement and Control , 22 : 57 – 101 .
   Web of Science ®Google Scholar
• Gao , Z and Ding , SX . 2007 . Fault Estimation and Fault-tolerant Control for Descriptor Systems via Proportional, Multiple-integral and Derivative Observer Design . IET Control Theory and Applications , 1 : 1208 – 1218 .
   Web of Science ®Google Scholar
• Gao , Z , Shi , X and Ding , SX . 2008 . Fuzzy State/Disturbance Observer Design for T-S Fuzzy Systems with Application to Sensor Fault Estimation . IEEE Transactions on System, Man and Cybernetics-Part B: Cybernetics , 38 : 875 – 880 .
   PubMed Web of Science ®Google Scholar
• Gorinevsky , D . Boyd, S., Poll, S. (2009), ‘Estimation of Faults in DC Electrical Power Systems’, in 2009 American Control Conference, St. Louis, MO, USA, 10–12 June 2009, USA: IEEE Xplore, pp. 1–6
   Google Scholar
• Hmida , FB , Khemiri , K , Ragot , J and Gossa , M . 2010 . Unbiased Minimum Variance Filter for State and Fault Estimation of Linear Time-varying Systems with Unknown Disturbances . Mathematical Problems in Engineering , 2010 : 1 – 17 .
   Google Scholar
• Hou , Y , Chen , Z and Tang , T . 2010 . Multi-sensor Fault Detection and Isolation Algorithm . Chemical Industry and Engineering Society of China (CIESC) Journal , 61 : 2008 – 2014 . (in Chinese)
   Google Scholar
• Isermann , R . 2005 . Model-based Fault-detection and Diagnosis-status and Applications . Annual Reviews in Control , 29 : 71 – 85 .
   Web of Science ®Google Scholar
• Jia , MX , Wang , FL and Mao , ZZ . 2004 . Robust Fault Diagnosis using Adaptive Observer Technique for a Class of Nonlinear Systems . Acta Automatica Sinica , 30 : 601 – 607 . (in Chinese)
   Google Scholar
• Jiang , B , Gao , Z , Shi , P and Xu , Y . 2010 . Adaptive Fault Tolerant Tracking Control of Near Space Vehicle using Takagi-Sugeno Fuzzy Models . IEEE Transactions on Fuzzy Systems , 18 ( 5 ) : 1000 – 1007 .
   Web of Science ®Google Scholar
• Jiang , B and Staroswiecki , M . 2002 . Adaptive Observer Design for Robust Fault Estimation . International Journal of Systems Science , 33 : 767 – 775 .
   Web of Science ®Google Scholar
• Jiang , B , Staroswiecki , M and Cocquempot , V . 2006 . Fault Accommodation for Nonlinear Dynamic Systems . IEEE Transactions on Automatic Control , 51 : 1578 – 1583 .
   Web of Science ®Google Scholar
• Khedher , A . Othman, K.B., Benrejeb, M., and Maquin, D. (2010), ‘Adaptive Observer for Fault Estimation in Nonlinear Systems Described by a Takagi-Sugeno Model’, in 18th Mediterranean Conference on Control and Automation, Marrakech, Morocco, 23–25 June, pp. 261–266
   Google Scholar
• Lu , B and Wu , F . 2004 . Switching LPV Control Designs using Multiple Parameter-dependent Lyapunov Functions . Automatica , 40 : 1973 – 1980 .
   Web of Science ®Google Scholar
• Marseguerra , M and Zio , E . 2009 . Monte Carlo Simulation for Model-based Fault Diagnosis in Dynamic Systems . Reliability Engineering and System Safety , 94 : 180 – 186 .
   Web of Science ®Google Scholar
• Marx , B , Koening , D and Ragot , J . 2007 . Design of Observers for Takagi-Sugeno Descriptor Systems with Unknown Inputs and Applications to Fault Diagnosis . IET Control Theory and Applications , 1 : 1487 – 1495 .
   Web of Science ®Google Scholar
• Mattone , R and Luca , AD . 2006 . Relaxed Fault Detection and Isolation: An Application to a Nonlinear Case Study . Automatica , 42 : 109 – 116 .
   Web of Science ®Google Scholar
• Nishi , M and Ishitobi , M . 2010 . Sampled-data Models for Affine Nonlinear Systems using a Fractional-order Hold and Their Zero Dynamics . Artificial Life and Robotics , 15 : 500 – 503 .
   Google Scholar
• Nobrega , EG , Abdalla , MO and Grigoriadis , KM . 2008 . Robust Fault Estimation of Uncertain Systems using an LMI-based Approach . International Journal of Robust and Nonlinear Control , 18 : 1657 – 1680 .
   Web of Science ®Google Scholar
• Patton , RJ , Frank , PM and Clark , RN . 2000 . Issues of Fault Diagnosis for Dynamic Systems , London , , UK : Springer .
   Google Scholar
• Pertew , AM , Marquez , HJ and Zhao , Q . 2007 . LMI-based Sensor Fault Diagnosis for Nonlinear Lipschitz Systems . Automatica , 43 : 1464 – 1469 .
   Web of Science ®Google Scholar
• Popescu , M and Dumitrache , A . 2005 . On the Optimal Control of Affine Nonlinear Systems . Mathematical Problems in Engineering , 2005 : 465 – 475 .
   Web of Science ®Google Scholar
• Sala , A , Guerra , TM and Babuska , R . 2005 . Perspectives of Fuzzy Systems and Control . Fuzzy Sets and Systems , 156 : 432 – 444 .
   Web of Science ®Google Scholar
• Scherer , C , Gahinet , P and Chilali , M . 1997 . Multiobjective Output-feedback Control via LMI Optimisation . IEEE Transactions on Automatic Control , 42 : 896 – 911 .
   Web of Science ®Google Scholar
• Spurgeon , SK . 2008 . Sliding Mode Observers: A Survey . International Journal of Systems Science , 39 : 751 – 764 .
   Web of Science ®Google Scholar
• Stoustrup , J and Niemann , HH . 2002 . Fault Estimation–a Standard Problem Approach . International Journal of Robust and Nonlinear Control , 12 : 649 – 673 .
   Web of Science ®Google Scholar
• Takagi , T and Sugeno , M . 1985 . Fuzzy Identification of Systems and Its Applications to Modelling and Control . IEEE Transactions on Fuzzy Systems, Man and Cybernetics , 15 : 116 – 132 .
   Web of Science ®Google Scholar
• Tanaka , K , Hori , T and Wang , HO . 2003 . A Multiple Lyapunov Function Approach to Stabilisation of Fuzzy Control Systems . IEEE Transactions on Fuzzy Systems , 11 : 582 – 589 .
   Web of Science ®Google Scholar
• Tanaka , K and Wang , HO . 2001 . Fuzzy control systems design and analysis: a linear matrix inequality approach , NY , , USA : John Wiley & Sons .
   Google Scholar
• Tsai , JSH , Wei , CL , Guo , SM , Shieh , LS and Liu , CR . 2008 . Ep-based Adaptive Tracker with Observer and Fault Estimation for Nonlinear Time-varying Sampleddata Systems Against Actuator Failures . Journal of Franklin Institute , 345 : 508 – 535 .
   Web of Science ®Google Scholar
• Tuan , HD , Apkarian , P , Narikiyo , T and Yamamoto , Y . 2001 . Parameterized Linear Matrix Inequality Techniques in Fuzzy Control System Design . IEEE Transactions on Fuzzy Systems , 9 : 324 – 332 .
   Web of Science ®Google Scholar
• Wang , H and Daley , S . 1996 . Actuator Fault Diagnosis: an Adaptive Observer-based Technique . IEEE Transactions on Automatic Control , 41 : 1073 – 1078 .
   Web of Science ®Google Scholar
• Wang , Y . Chan, C.W., Cheung, K.C., and Chan, W.C. (1999), ‘Fault Estimation for a Class of Nonlinear Dynamical Systems’, in 38th Conference on Decision and Control, Phoenix, AZ, USA, December 1999, USA: IEEE Xplore, pp. 3128–3129
   Google Scholar
• Wingerden , J and Verhaegen , M . 2009 . Subspace Identification of Bilinear and LPV Systems for Open- and Closed-loop Data . Automatica , 45 : 372 – 381 .
   Web of Science ®Google Scholar
• Ying , H . 2000 . Fuzzy Control and Modeling: Analytical Foundation and Applications , NY , , USA : IEEE Press .
   Google Scholar
• Zhang , K , Jiang , B and Staroswiecki , M . 2010a . Dynamic Output Feedback Fault Tolerant Controller Design for Takagi-Sugeno Fuzzy Systems with Actuator Faults . IEEE Transactions on Fuzzy Systems , 18 : 194 – 201 .
   Web of Science ®Google Scholar
• Zhang , Y and Jiang , J . 2008 . Bibliographical Review on Reconfigurable Fault Tolerant Control Systems . Annual Reviews in Control , 32 : 229 – 252 .
   Web of Science ®Google Scholar
• Zhang , K , Jiang , B and Shi , P . 2010b . Observer-based Integrated Robust Fault Estimation and Accommodation Design for Discrete-time Systems . International Journal of Control , 83 : 1167 – 1181 .
   Web of Science ®Google Scholar
• Zhang , J and Xia , Y . 2009 . New LMI Approach to Fuzzy H1 Filter Designs . IEEE Transactions on Circuits Systems II , 56 : 739 – 743 .
   Web of Science ®Google Scholar
• Zhao , Y , Lam , J and Gao , H . 2009 . Fault Detection for Fuzzy Systems with Intermittent Measurements . IEEE Transactions on Fuzzy Systems , 17 : 398 – 410 .
   Web of Science ®Google Scholar