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Simultaneous State and Actuator Fault Estimation With Fuzzy Descriptor PMID and PD Observers for Satellite Control Systems
Rajab Challoo, Sunny Dubey
Pages - 344 - 359     |    Revised - 01-11-2011     |    Published - 15-12-2011
Volume - 2   Issue - 5    |    Publication Date - November / December 2011  Table of Contents
Fault, Descriptor Systems, Estimation, Fuzzy Model
In this paper, Takagi-Sugeno (T-S) fuzzy descriptor proportional multiple-integral derivative (PMID) and Proportional-Derivative (PD) observer methods that can estimate the system states and actuator faults simultaneously are proposed. T-S fuzzy model is obtained by linearsing satellite/spacecraft attitude dynamics at suitable operating points. For fault estimation, actuator fault is introduced as state vector to develop augmented descriptor system and robust fuzzy PMID and PD observers are developed. Stability analysis is performed using Lyapunov direct method. The convergence conditions of state estimation error are formulated in the form of LMI (linear matrix inequality). Derivative gain, obtained using singular value decomposition of descriptor state matrix (E), gives more design degrees of freedom together with proportional and integral gains obtained from LMI. Simulation study is performed for our proposed methods.
CITED BY (2)  
1 Cheng, Y., Wang, R., Xu, M., & Li, Y. (2016). Simultaneous state and actuator fault estimation for satellite attitude control systems. Chinese Journal of Aeronautics.
2 Garcia, E. A., & Garcia, J. R. Estimación de fallas: un enfoque basado en inversión del generador de residuos⋆.
1 Google Scholar 
2 CiteSeerX 
3 refSeek 
4 Scribd 
5 SlideShare 
6 PdfSR 
Ajit K. Mandal, “Introduction to Control Engineering,” Third edition, 2006, pp. 255-275.
Ashish Teewari, “Atmospheric and Space Flights,” Second edition, 2007, pp. 370-372.
B. Marx, D. Koeing and D. Georges, “Robust fault diagnosis for linear descriptor systems using proportional and integral observers,” in Proceedings of the 42nd IEEE Conference on Decision and Control, pp. 457-462, 2003.
B. Shafai and R L. Carroll, “Design of proportional integral observer for linear time- varying multivariable systems,” In Proceedings of 24th IEEE conference on Decision Control, 1985,pp. 597-599.
Christopher Edwards, Thomas Lombaerts and Hafid Smaili, “Fault Tolerant Flight Control,”Lecture notes in Control and Information Sciences, 2010.
D. Ichalal, B. Marx and J. Ragot, “Observer based actuator fault tolerant control for nonlinear Takagi-Sugeno systems: an LMI approach,” in Proceedings of Mediterranean Conference on Control & Automation (MED), pp. 1278-1283, June 2010.
E. Frisk and L. Nielsen, “Robust residual generation for diagnosis including a reference model for residual behavior,” Automatica, vol. 42, pp. 437-445, 2006
G. Duan and G. Liu, “Eigenstructure assignment design for proportional integral observers:continuous time case,” in Proceedings of IEE Control Theory Appl. Vol. 148, No. 3, May 2001.
Guido Herrmann, Matthew C. Turner and Ian Postlethwaite, “Mathematical Methods for Robust & Nonlinear Control,” Second edition, 2007, pp. 170-175.
J. Gun-Ping, W. Suo-Ping and S. Wen-Zhong, “Design of observer with integrators for linear systems with unknown input disturbances,” IEE Electronic Letters, Vol. 36, No. 13, pp.1168-1169, 2000.
J. Lia-hui, T. Fa, and L. Chen, “Fault reconstruction based on sliding mode observers,”World Congress on Computer Science and Information Engineering, IEEE Computer Society, pp. 479-484, 2009.
K. Krishna and P. Kabore, “On the design of integral and proportional integral observers,”in Proceedings of the American Control Conference, June 2009.
K. Meinghed, J. Yame, and C. Aubrun, “Modifica-tion of an adaptive observer to improve its performance in actuator fault detection,” In Proceedinds of 18th Mediterranean Conference on Control & Automation, Morocco, 2008,pp. 75-81.
Kevin M. Passino and Stephen Yurkovich, “Fuzzy Control,” First edition, 1998, pp. 121-130.
Nguyen Tan Tien, “Applied Nonlinear Control-Fundamentals of Lyapunov Theory,” Second edition, 2002, pp. 68-79.
P. M. Frank and X. Ding, “Frequency domain approach to optimally robust residual generation and evaluation for model-based fault diagnosis,” Automatica, vol. 30, pp. 789-904, 1994.
Q. Wu and M. Saif, “Robust fault Diagnosis for a Satellite using Neural Sliding Mode Observer,” in Proceedings of the 44th IEEE Conference on Decision and Control, pp. 7668-7673, 2005.
S. Ding. (2008), Model-based fault diagnosis techniques (1st edition), [Online]. Available:http://0www.springerlink.com.oasis.lib.tamuk.edu/content/?k=model+based+fault+diagnosis[Feb., 2011]
S. Linder, B. Shafai and M. Saif, “Estimating and Accomodating Unknown Actuator Faults with PI Observer,” in Proceedings of the 1988 IEEE International Conference on Control Applications, 1998.
S. X. Ding, P. Zhang, B. Huang, E. L. Ding, and P. M. Frank, “An approach to norm and statistical methods based residual evaluation,” In Proceedings of the 10th IEEE International Conference on Methods and Models in Automation and Robotics, pp. 777 - 780, 2004.
S.R. Beale and B. Shafai, “Robust control system design with the proportional integral observer,” in Proceedings of the 27th conference on Decision and Control,” pp. 554-557,1988.
Stephen Boyd, “Linear Matrix Inequalities in System and Control Theory,” 1994, pp. 25-33.
T. Takagi and M. Sugeno, “Fuzzy identification of the systems and its application to modeling and control,” IEEE Transactions on Systems, Man, and Cybernetics, Vol. SMC-15, No. 1, pp. 116-132, 1985.
W. Ai-Guo and D. Guang-Ren, “PMID observer design of descriptor linear systems,” In Proceedings of the 26th Chinese Control Conference, 2007, pp. 161-165.
W. Ai-Guo, D. Guang-Ren and F. Yan-Ming, “Generalized PID observer design for descriptor linear systems,” IEEE Transactions on Systems, Man, and Cybernetics, Vol. 37, No. 5, pp.1390-1395, 2007.
X. Ding and P. M. Frank, “An adaptive observer-based fault detection scheme for nonlinear systems,” in Proceedings of the 12th IFAC World Congress, Sydney, pp. 307-312, 1993.
X. Ding and P. M. Frank, “Frequency domain approach and threshold selector for robust model-based fault detection and isolation,” In Proceedings of the 1st IFAC Symp. Safeprocess,1991.
Y. Fu, Y. Cheng and B. Jiang, “Robust actuator fault estimation for satellite control system via fuzzy proportional multiple-integral observer method,” in Proceedings of the 29th Chinese Control Conference, 2010, pp. 3942-3946.
Y. Jinyong and L. Zhiyuan, “Fault reconstruction based on sliding mode observer for linear descriptor systems,” In Proceedings of the 7th Asian Control Conference, 2009, pp. 1132-1137.
Z. Gao and S.X.Ding, “Fault estimation and fault-tolerant control for descriptor systems via proportional, multiple-integral and derivative observer design,” IET Control Theory Appl.,Vol. 1, No. 5, pp. 1208-1218, 2007.
Z. Lendek, T.M. Guerra, R. Babuska, and B. De Schutter (2011), Stabilty Analysis and Nonlinear Observer Design using Takagi-Sugeno Fuzzy Models (1st edition), [Online].Available: http://0-www.springerlink.com [April, 2011]
Dr. Rajab Challoo
Texas A&M University-Kingsville - United States of America
Mr. Sunny Dubey
- United States of America

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