Residual Generator for a Class of Nonlinear Systems Described by Takagi-Sugeno Models
Chapter
Abstract
The paper presents the principle of fuzzy-observer-based residual generator design for a class of continuous-time nonlinear systems represented by Takagi-Sugeno models, and measurable, as well as un-measurable premise variables. The problem addressed can be indicated as approach giving sufficient design conditions outlined in the terms of linear matrix inequalities, and possess a global stable structure. Simulation results illustrate the design procedures and demonstrate the basic performances of the proposed residual generator structures.
Keywords
Fault detection residual generators fuzzy observers convex optimization linear matrix inequalitiesPreview
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References
- 1.Bergsten, P., Palm, R., Driankov, D.: Observers for Takagi-Sugeno Fuzzy Systems. IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics 32, 114–121 (2002)CrossRefGoogle Scholar
- 2.Blanke, M., Kinnaert, M., Lunze, J., Staroswiecki, M.: Diagnosis and Fault-Tolerant Control. Springer, Berlin (2003)MATHGoogle Scholar
- 3.Chen, J., Patton, R.J.: Robust Model-Based Fault Diagnosis for Dynamic Systems. Kluwer Academic Publishers, Norwell (1999)MATHCrossRefGoogle Scholar
- 4.Ding, S.: Model-Based Fault Diagnosis Techniques. Design Schemes, Algorithms, and Tools. Springer, Berlin (2008)Google Scholar
- 5.Gao, Z., Shi, X., Ding, S.X.: Fuzzy State/Disturbance Observer Design for T-S Fuzzy Systems with Application to Sensor Fault Estimation. IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics 38, 875–880 (2008)CrossRefGoogle Scholar
- 6.Gerland, P., Gross, D., Schulte, N., Kroll, A.: Robust Adaptive Fault Detection Using Global State Information and Application to Mobile Working Machines. In: Conference on Control and Fault Tolerant Systems, Nice, France, pp. 813–818 (2010)Google Scholar
- 7.Ichalal, D., Marx, B., Ragot, J., Maquin, D.: Design of Observers for Takagi-Sugeno Discrete-Time Systems with Unmeasurable Premise Variables. An L2 approach. In: Proceedings of the 17th World Congress IFAC, Seoul, Korea, pp. 2768–2773 (2008)Google Scholar
- 8.Koshkouei, A.J., Zinober, A.S.I.: Partial Lipschitz Nonlinear Sliding Mode Observers. In: Proceedings of the 7th Mediterranean Conference on Control and Automation MED 1999, Haifa, Israel, pp. 2350–2359 (1999)Google Scholar
- 9.Krokavec, D., Filasová, A.: Dynamic Systems Diagnosis. Elfa, Košice (2007) (in Slovak) Google Scholar
- 10.Krokavec, D., Filasová, A., Hladký, V.: Design of Stable Fuzzy-Observer-Based Residual Generators for a Class of Nonlinear Systems. In: Proceedings of the 15th IEEE International Conference on Intelligent Engineering Systems INES 2011, Poprad, Slovakia, pp. 329–334 (2011)Google Scholar
- 11.Krokavec, D., Filasová, A., Hladký, V.: TS Fuzzy Observer-Based Residual Generators for a Class of Nonlinear Systems. In: Proceedings of the 12th IEEE International Symposium on Computational Intelligence and Informatics CINTI 2011, Budapest, Hungary, pp. 45–50 (2011)Google Scholar
- 12.Michels, K., Klawonn, F., Kruse, R., Nürnberger, A.: Fuzzy Control. Fundamentals, Stability and Design of Fuzzy Controllers. Springer, Berlin (2006)MATHGoogle Scholar
- 13.Passino, K.M., Yurkovich, S.: Fuzzy Control. Addison-Wesley Longman, Berkeley (1998)Google Scholar
- 14.Peaucelle, D., Henrion, D., Labit, Y., Taitz, K.: User’s Guide for SeDuMi Interface 1.04. LAAS-CNRS, Toulouse (2002)Google Scholar
- 15.Takagi, T., Sugeno, M.: Fuzzy Identification of Systems and its Applications to Modeling and Control. IEEE Transactions on Systems, Man, and Cybernetics 15, 116–132 (1985)MATHCrossRefGoogle Scholar
- 16.Tanaka, K., Wang, H.O.: Fuzzy Control Systems Design and Analysis. A Linear Matrix Inequality Approach. John Wiley & Sons, New York (2001)CrossRefGoogle Scholar
- 17.Thau, F.E.: Observing the State of Nonlinear Dynamical Systems. International Journal of Control 17, 471–479 (1973)MATHCrossRefGoogle Scholar
- 18.Wang, H.O., Tanaka, K., Griffin, M.F.: An Approach to Fuzzy Control of Nonlinear Systems: Stability and Design Issues. IEEE Transactions on Fuzzy Systems 4, 14–23 (1996)CrossRefGoogle Scholar
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