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Research Papers

Fault Reconstruction and Accommodation in Linear Parameter-Varying Systems via Learning Unknown-Input Observers

[+] Author and Article Information
Qingxian Jia

Research Center of Satellite Technology,
Harbin Institute of Technology,
Harbin 150001, China
e-mail: jqxhit@gmail.com

Wen Chen

Division of Engineering Technology,
Wayne State University,
Detroit, MI 48202
e-mail: wchenc@wayne.edu

Yingchun Zhang, Xueqin Chen

Research Center of Satellite Technology,
Harbin Institute of Technology,
Harbin 150001, China

1Corresponding author.

Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received May 24, 2014; final manuscript received November 7, 2014; published online January 27, 2015. Assoc. Editor: Prashant Mehta.

J. Dyn. Sys., Meas., Control 137(6), 061008 (Jun 01, 2015) (9 pages) Paper No: DS-14-1219; doi: 10.1115/1.4029250 History: Received May 24, 2014; Revised November 07, 2014; Online January 27, 2015

This paper addresses the problem of observer-based fault reconstruction and accommodation for polytopic linear parameter-varying (LPV) systems. A polytopic representation of an LPV system subject to actuator faults and external disturbances is first established; then, a novel polytopic learning unknown-input observer (LUIO) is constructed for simultaneous state estimation and robust fault reconstruction. The stability of the presented LUIO is proved using Lyapunov stability theory together with H techniques. Further, using reconstructed fault information, a reconfigurable fault-tolerant controller is designed to compensate for the influence of actuator faults by stabilizing the closed-loop system. At last, an aircraft example is employed to illustrate the effectiveness and practicability of the proposed techniques.

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References

Mahmoud, M. M., Jiang, J., and Zhang, Y. M., 2003, Active Fault Tolerant Control Systems: Stochastic Analysis and Synthesis, Springer-Verlag, New York.
Blanke, M., Kinnaert, M., Lunze, J., and Staroswiecki, M., 2006, Diagnosis and Fault-Tolerant Control, Springer-Verlag, Berlin, Heidelberg, Germany.
Ding, S. X., 2008, Model-Based Fault Diagnosis Techniques-Design Schemes, Algorithms, and Tools, Springer-Verlag, London, UK.
Patton, R. J., and Chen, J., 1997, “Observer-Based Fault Detection and Isolation: Robustness and Applications,” Control Eng. Pract., 5(5), pp. 671–682. [CrossRef]
Hwang, I., Kim, S., Kim, Y., and Seah, C. E., 2010, “A Survey of Fault Detection, Isolation and Reconfiguration Methods,” IEEE Trans. Control Syst. Technol., 18(3), pp. 636–653. [CrossRef]
Zhang, Y. M., and Jiang, J., 2008, “Bibliographical Review on Reconfigurable Fault-Tolerant Control Systems,” Annu. Rev. Control, 32(2), pp. 229–252. [CrossRef]
Jiang, J., and Xiang, Y., 2012, “Fault-Tolerant Control Systems: A Comparative Study Between Active and Passive Approaches,” Annu. Rev. Control, 36(3), pp. 60–72. [CrossRef]
Bruzelius, F., Pettersson, S., and Breitholtz, C., 2004, “Linear Parameter-Varying Descriptions of Nonlinear Systems,” Proceedings of the American Control Conference, Boston, MA, June 30–July 2, pp. 1374–1379.
Bokor, J., and Szabo, Z., 2009, “Fault Detection and Isolation in Nonlinear Systems,” Annu. Rev. Control, 33(2), pp. 113–123. [CrossRef]
Chen, L. J., and Patton, R. J., 2011, “Polytopic LPV Estimation for Non-Linear Flight Control,” Proceedings of the 18th IFAC World Congress, Milan, Italy, Aug. 8–Sept. 2, pp. 1108–1113.
Zhang, K., Jiang, B., and Chen, W., 2009, “An Improved Adaptive Fault Estimation Design for Polytopic LPV Systems With Application to Helicopter Models,” Proceedings of the 7th Asian Control Conference, Hong Kong, China, Aug. 27–29, pp. 1108–1113.
Alwi, H., Edwards, C., and Marcos, A., 2012, “Fault Reconstruction Using a LPV Sliding Mode Observer for a Class of LPV System,” J. Franklin Inst., 349(2), pp. 510–530. [CrossRef]
Kulcsár, B., and Verhaegen, M., 2012, “Robust Inversion Based Fault Estimation for Discrete-Time LPV Systems,” IEEE Trans. Autom. Control, 57(6), pp. 1581–1586. [CrossRef]
Montes de Oca, S., Puig, V., Witczak, M., and Dziekan, L., 2012, “Fault-Tolerant Control Strategy for Actuator Fault Using LPV Techniques: Application to a Two Degree of Freedom Helicopter,” Int. J. Appl. Math. Comput. Sci., 22(1), pp. 161–171. [CrossRef]
Jia, Q. X., Chen, W., Zhang, Y. C., and Chen, X. Q., 2014, “Robust Fault Reconstruction via Learning Observers in Linear Parameter-Varying Systems Subject to Loss of Actuator Effectiveness,” IET Control Theory Appl., 8(1), pp. 42–50. [CrossRef]
Hamdi, H., Rodrigues, M., Mechmeche, C., Theilliol, D., and Braiek, N. B., 2012, “Fault Detection and Isolation in Linear Parameter-Varying Descriptor Systems via Proportional Integral Observer,” Int. J. Adapt. Control Signal Process., 26(3), pp. 224–240. [CrossRef]
Rodrigues, M., Hamdi, H., BenHadj Braiek, N., and Theilliol, D., 2014, “Observer-Based Fault Tolerant Control Design for a Class of LPV Descriptor Systems,” J. Franklin Inst., 351(6), pp. 3104–3125. [CrossRef]
Jia, Q. X., Zhang, Y. C., Chen, W., and Li, H. Y., “Fault Reconstruction in Descriptor Linear Parameter-Varying Systems via Polytopic Unknown-Input Proportional-Integral Observers,” Optim. Control Appl. Methods (to be published). [CrossRef]
Chen, W., and Chowdhury, F., 2007, “Simultaneous Identification of Time-Varying Parameters and Estimation of System States Using Iterative Learning Observers,” Int. J. Syst. Sci., 38(1), pp. 39–45. [CrossRef]
Amato, F., Cosentino, C., Mattei, M., and Paviglianiti, G., 2006, “A Direct/Functional Redundancy Scheme for Fault Detection and Isolation on an Aircraft,” Aerosp. Sci. Technol., 10(4), pp. 338–345. [CrossRef]
Abdullah, A., and Zribi, M., 2009, “Model Reference Control of LPV Systems,” J. Franklin Inst., 346(9), pp. 854–871. [CrossRef]
Boyd, S., Ghaoui, L. E., Feron, E., and Balakrishnan, V., 1994, Linear Matrix Inequalities in Systems and Control Theory, SIAM, Philadelphia, PA. [CrossRef]
Barkana, I., 2005, “Classical and Simple Adaptive Control for Nonminimum Phase Autopilot Design,” J. Guid. Control Dyn., 28(4), pp. 631–638. [CrossRef]
Corless, M., and Tu, J., 1998, “State and Input Estimation for a Class of Uncertain Systems,” Automatica, 34(6), pp. 757–764. [CrossRef]
Zhang, K., Jiang, B., and Shi, P., 2009, “Fast Fault Estimation and Accommodation for Dynamical Systems,” IET Control Theory Appl., 3(2), pp. 189–199. [CrossRef]
Ma, L. L., Wang, J. Z., and Wang, S. K., 2004, “Robust Fault Detection Using Iterative Learning Observer for Nonlinear Systems,” Proceedings of the World Congress on Intelligent Control and Automation, pp. 1724–1726.
Yao, L. N., Qin, J. F., Wang, H., and Jiang, B., 2012, “Design of New Fault Diagnosis and Fault Tolerant Control Scheme for Non-Gaussian Singular Stochastic Distribution Systems,” Automatica, 48(9), pp. 2305–2313. [CrossRef]
Chen, W., Chen, W. T., Saif, M., Wu, H., and Li, M., 2014, “Simultaneous Fault Isolation and Estimation of Lithium-Ion Batteries via Synthesized Design of Luenberger and Learning Observers,” IEEE Trans. Control Syst. Technol., 22(1), pp. 290–298. [CrossRef]
Zhang, K., Jiang, B., and Shi, P., 2010, “Observer-Based Integrated Robust Fault Estimation and Accommodation Design for Discrete-Time Systems,” Int. J. Control, 83(6), pp. 1167–1181. [CrossRef]
Zhang, K., Jiang, B., and Shi, P., 2009, “A New Approach to Observer-Based Fault-Tolerant Controller Design for Takagi–Sugeno Fuzzy Systems With State Delay,” Circuits Syst. Signal Process., 28(5), pp. 679–697. [CrossRef]
Ichalal, D., Marx, B., Ragot, J., and Maquin, D., 2012, “New Fault Tolerant Control Strategies for Nonlinear Takagi–Sugeno Systems,” Int. J. Appl. Math. Comput. Sci., 22(1), pp. 197–210. [CrossRef]
Chilali, M., and Gahinet, P., 1996, “H Design With Pole Placement Constraints: An LMI Approach,” IEEE Trans. Autom. Control, 41(3), pp. 358–367. [CrossRef]
Guo, Y. Y., and Jiang, B., 2009, “Reduced-Order UIO Based Robust Fault Diagnosis for Flight Control Systems,” J. Nanjing Univ. Aeronaut. Astronaut., 41(2), pp. 150–153.

Figures

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Fig. 1

Dynamic behaviors of local weighting functions

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Fig. 2

State estimation errors in the fault-free system using Theorem 1

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Fig. 3

Reconstruction of a constant actuator fault using Theorem 1

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Fig. 4

Reconstruction of a constant actuator fault using Theorem 2

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Fig. 5

Reconstruction of a time-varying actuator fault using Theorem 2

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Fig. 6

System output responses with a constant fault

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Fig. 7

System output responses with a time-varying fault

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Fig. 8

System output responses with the fault-tolerant controller using fault information shown in Fig. 3

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Fig. 9

System output responses with the fault-tolerant controller using fault information shown in Fig. 4

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Fig. 10

System output responses with the fault-tolerant controller using fault information shown in Fig. 5

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