A parameter-varying fault detection filter design approach for polytopic uncertain linear systems

References

• Abdalla, M.O., Nobrega, E.G., and Grigoriadis, K.M. (2001), ‘Fault Detection and Isolation Filter Design for Linear Parameter Varying Systems’, in Proceedings of 2001 American Control Conference, pp. 3890–3895.
   Google Scholar
• Armeni, S., Casavola, A., and Mosca, E. (2009), ‘Robust Fault Detection and Isolation for LPV Systems Under a Sensitivity Constraint’, International Journal of Adaptive Control Signal Process, 23, 55–72.
   Web of Science ®Google Scholar
• Bokor, J., and Balas, G. (2004), ‘Detection Filter Design for LPV Systems—A Geometric Approach’, Automatica, 40, 511–518.
   Web of Science ®Google Scholar
• Casavola, A., Famularo, D., and Franze, G. (2005), ‘A Robust Deconvolution Scheme For Fault Detection and Isolation of Uncertain Linear Systems: An LMI Approach’, Automatica, 41, 1463–1472.
   Web of Science ®Google Scholar
• Casavola, A., Famularo, D., and Franze, G. (2008), ‘Robust Fault Detection of Uncertain Linear Systems Via Quasi-LMIs’, Automatica, 44, 289–295.
   Web of Science ®Google Scholar
• Ding, S.X. (2008), Model-based Fault Diagnosis Techniques, Algorithms and Tools, Berlin: Springer.
   Google Scholar
• Duan, G., and Wu, A. (2006), ‘Robust Fault Detection in Linear Systems Based on PI Observers’, International Journal of Systems Science, 37, 809–816.
   Web of Science ®Google Scholar
• Gahinet, P., Nemirovski, A., Laub, A., and Chilali, M. (1995), ‘LMI Control Toolbox Users Guide’, Natick: Mathworks, Inc.
   Google Scholar
• Geromel, J.C. (1999), ‘Optimal Linear Filtering Under Parameter Uncertainty’, IEEE Transactions on Signal Processing, 47, 168–175.
   Web of Science ®Google Scholar
• Gertler, J.J. (1998), Fault Detection and Diagnosis in Engineering Systems, New York: Marcel Dekker.
   Google Scholar
• Hamdi, H., Rodrigues, M., Mechmeche, C., Theilliol, D., and Braiek, N.B. (2009), ‘State Estimation for Polytopic LPV Descriptor Systems: Application to Fault Diagnosis’, in Proceedings of 7th IFAC Symposium on Fault Detection, Supervision and Safety of Technical Processes.
   Google Scholar
• Jiang, B., Staroswiecki, M., and Cocquempot, V. (2004), ‘Fault Diagnosis Based on Adaptive Observer For a Class of Non-linear Systems with Unknown Parameters’, International Journal of Control, 77, 367–383.
   Web of Science ®Google Scholar
• Khasminskii, R.Z. (1980), Stochastic Stability of Differential Equation, Amsterdam, The Netherlands: Sijthoffand Noordhoff.
   Google Scholar
• Khosrowjerdi, M.J., Nikoukhah, R., and Safari-Shad, N. (2004), ‘A Mixed H2/H∞ Approach to Simultaneous Fault Detection and Control’, Automatica, 40, 261–267.
   Web of Science ®Google Scholar
• Li, X.J., and Yang, G.H. (2012a), ‘Fault Detection for Linear Stochastic Systems with Sensor Stuck Faults’, Optimal Control Applications and Methods, 33, 61–80.
   Web of Science ®Google Scholar
• Li, X.J., and Yang, G.H. (2012b), ‘Fault Detection Filter Design for Stochastic Time-delay Systems with Sensor Faults’, International Journal of Systems Science, 43, 1504–1518.
   Web of Science ®Google Scholar
• Mao, X., and Yuan, C. (2006), Stochastic Differential Equations With Markovian Switching, London, UK: Imperial College Press.
   Google Scholar
• Nguang, S.K., Shi, P., and Ding, S. (2007), ‘Fault Detection For Uncertain Fuzzy Systems: An LMI Approach’, IEEE Transactions on Fuzzy Systems, 15, 1251–1262.
   Web of Science ®Google Scholar
• Nobrega, E.G., Abdalla, M.O., and Grigoriadis, K.M. (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
• Tuan, H.D., Apkarian, P., and Nguyen, T.Q. (2001), ‘Robust and Reduced-Order Filter: New LMI-based Characterizations and Methods’, IEEE Transactions on Singal Processing, 49, 2975–2984.
   Web of Science ®Google Scholar
• Wang, H., Hua, J.H., and Yang, G.H. (2010), ‘Fault Detection Filter Design for Polytopic Uncertain Continuously-Time Systems’, Acta Automatica Sinica, 36, 742–750.
   Google Scholar
• Wang, H., and Yang, G.H. (2009), ‘Integrated Fault Detection and Control for LPV Systems’, International Journal of Robust and Nonlinear Control, 19, 341–363.
   Web of Science ®Google Scholar
• Wang, Z., Yang, F., Ho, D.W.C., and Liu, X. (2006), ‘Robust H∞ Filter for Stochastic Time-delay Systems with Missing Measurements’, IEEE Transactions on Signal Processing, 54, 2579–2587.
   Web of Science ®Google Scholar
• Wei, X.K., and Verhaegen, M. (2008), ‘Mixed H−/H∞ Fault Detection Observer Design for LPV Systems’, in Proceedings of the 46th IEEE Conference on Decision and Control, Cancun, Mexico, pp. 1073–1078.
   Google Scholar
• Wu, L.G., and Ho, D.W.C. (2009), ‘Fuzzy Filter Design for Itô Stochastic Systems with Application to Sensor Fault Detection’, IEEE Transactions on Fuzzy Systems, 17, 233–242.
   Web of Science ®Google Scholar
• Xu, S., and Chen, T. (2002), ‘Reduced-order H∞ Filter for Stochastic Systems’, IEEE Transactions on Signal Processing, 50, 2998–3007.
   Web of Science ®Google Scholar
• Zhang, W.H., Chen, B.S., and Tsng, C.S. (2005), ‘Robust H∞ Filtering for Nonlinear Stochastic Systems’, IEEE Transactions on Singal Processing, 53, 589–598.
   Web of Science ®Google Scholar
• Zhao, Y., Lam, J., and Gao, H.J. (2009), ‘Fault Detection For Fuzzy Systems with Intermittent Measurements’, IEEE Transactions on Fuzzy Systems, 17, 398–410.
   Web of Science ®Google Scholar
• Zhong, M.Y., Ding, X.S., Lam, J., and Wang, H.B. (2003), ‘An LMI Approach to Design Robust Fault Detection Filter For Uncertain LTI Systems’, Automatica, 39, 543–550.
   Web of Science ®Google Scholar
• Zolghadri, A., Henry, D., and Grenaille, S. (2008), ‘Fault Diagnosis for LPV Systems’, in Proceedings of the 16th Mediterranean Conference on Control and Automation, Ajaccio, France, pp. 261–266.
   Google Scholar