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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Fig. 1

Dynamic behaviors of local weighting functions

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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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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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