Simultaneous fault detection and control for stochastic time-delay systems

References

• Adams, R.J., Buffington, J.M., Sparks, A.G., and Banda, S.S. (1994), Robust Multivariable Flight Control, London: Springer-Verlag.
   Google Scholar
• Boyd, S.P., El Ghaoui, L., Feron, E., and Balakrishnan, V. (1994), Linear Matrix Inequalities in System and Control Theory: SIAM Studies in Applied Mathematics, Philadelphia, PA: SIAM.
   Google Scholar
• Ding, S.X. (2008), Model-Based Fault Diagnosis Techniques, Algorithms and Tools, Berlin: Springer.
   Google Scholar
• Ding, S.X. (2009), ‘Integrated Design of Feedback Controllers and Fault Detectors’, Annual Reviews in Control, 33, 124–135.
   Web of Science ®Google Scholar
• Guo, L., and Wang, H. (2005), ‘Fault Detection and Diagnosis for General Stochastic Systems Using B-spline Expansions and Nonlinear Filters’, IEEE Transactions on Circuits and Systems, 52, 1644–1652.
   Google Scholar
• Hara, S., Iwasaki, T., and Shiokata, D. (2006), ‘Robust PID Control Using Generalized KYP Synthesis: Direct Open-Loop Shaping in Multiple Frequency Ranges’, IEEE Control Systems Magazine, 26, 80–91.
   Web of Science ®Google Scholar
• Henry, D., and Zolghadri, A. (2005), ‘Design and Analysis of Robust Residual Generators for Systems Under Feedback Control’, Automatica, 41, 251–264.
   Web of Science ®Google Scholar
• Higham, D. (2001), ‘An Algorithmic Introduction to Numerical Simulation of Stochastic Differential Equations’, SIAM Review, 43, 525–546.
   Web of Science ®Google Scholar
• Huntington, D.E., and Lyrintzis, C.S. (1998), ‘Nonstationary Random Parametric Vibration in Light Aircraft Landing Gear’, Journal of Aircraft, 35, 145–151.
   Web of Science ®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, L., Jia, Y.M., Du, J.P., and Yuan, S.Y. (2009), ‘Dyanmic Output Feedback Control for a Class of Stochastic Time-Delay Systems’, in Proceedings of American Control Conference, Hyatt Regency Riverfront, St. Louis, MO, pp. 5121–5125.
   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
• Li, X.J., and Yang, G.H. (2012c), ‘Dynamic Output Feedback Control Synthesis for Stochastic Time-Delay Systems’, International Journal of Systems Science, 43, 586–595.
   Web of Science ®Google Scholar
• Mao, X., and Yuan, C. (2006), Stochastic Differential Equations With Markovian Switching, London: Imperial College Press.
   Google Scholar
• Mao, Z., and Jiang, B. (2007), ‘Fault Identification and Fault-Tolerant Control for a Class of Networked Control Systems’, International Journal of Innovative Computing, Information and Control, 3, 1121–1130.
   Web of Science ®Google Scholar
• Pipeleers, G., Demeluenaere, B., Swevers, J., and Vandenberghe, L. (2009), ‘Extended LMI Characterizations for Stability and Performance of Linear Systems’, System and Control Letters, 58, 510–518.
   Web of Science ®Google Scholar
• Scherer, C.W., Gahinet, P., and Chilali, M. (1997), ‘Multiobjective Output-Feedback Control via LMI Optimization’, IEEE Transactions on Automatic Control, 42, 896–911.
   Web of Science ®Google Scholar
• Simandl, M., and Puncochar, I. (2009), ‘Active Fault Detection and Control: Unified Formulation and Optimal Design’, Automatica, 45, 2052–2059.
   Web of Science ®Google Scholar
• Skelton, R.E., Iwasaki, T., and Grigoriadis, K.M. (1997), A Unified Algebraic Approach to Linear Control Design, New York: Taylor & Francis.
   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 Signal Processing, 49, 2975–2984.
   Web of Science ®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.D., Liu, Y.R., and Liu, X.H. (2008), ‘H∞ Filter for Uncertain Stochastic Time-Delay Systems With Sector-Bounded Nonlinearities’, Automatica, 44, 1268–1277.
   Web of Science ®Google Scholar
• Wonham, W.M. (1968), ‘On a Matrix Riccati Equation of Stochastic Control’, SIAM Journal on Control, 6, 681–697.
   Web of Science ®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.Y., and Chen, T.W. (2004), ‘H∞ Output Feedback Control for Uncertain Stochastic Systems With Time-Varying Delays’, Automatica, 40, 2091–2098.
   Web of Science ®Google Scholar
• Zhang, W., Chen, B.S., and Tseng, C.S. (2005), ‘Robust H∞ Filtering for Nonlinear Stochastic Systems’, IEEE Transactions on Signal Processing, 53, 589–598.
   Web of Science ®Google Scholar