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access icon free Fault-tolerant control via sliding-mode output feedback for uncertain linear systems with quantisation

  • Author(s): Li-Ying Hao 1  and  Guang-Hong Yang 1, 2
    • View affiliations
    • Affiliations: 1: College of Information Science and Engineering, Northeastern University, Shenyang, People's Republic of China;
      2: State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Shenyang, People's Republic of China
  • Source: Volume 7, Issue 16, 07 November 2013, p. 1992 – 2006
    DOI:  10.1049/iet-cta.2013.0380 , Print ISSN 1751-8644, Online ISSN 1751-8652
© The Institution of Engineering and Technology
Received 27/04/2013, Accepted 29/07/2013, Revised 08/07/2013, Published

This study studies the robust fault-tolerant control problem for uncertain linear systems via sliding-mode output feedback. It is assumed that measured output and compensator state signals are quantised before transmission. By employing the matrix full-rank factorisation technique with a flexible design parameter, a sufficient condition for the existence of a linear sliding surface and a compensator in the augmented space is given. Then the non-linear discontinuous vector gain of the sliding-mode controller is designed based on a static adjustment law of the quantisation parameters. It is shown that the proposed sliding-mode fault-tolerant strategy guarantees that the closed-loop system is asymptotically stable in the presence of quantisation errors and actuator faults including outage. Compared with the existing results, the derived results lead to less conservativeness and much wider scope of applicability. Finally, the effectiveness of the proposed design method is illustrated via a B747-100/200 aircraft model.

Inspec keywords: control system synthesis; asymptotic stability; variable structure systems; feedback; linear systems; fault tolerance; matrix decomposition; closed loop systems; actuators; compensation; uncertain systems; vectors

Other keywords: flexible design parameter; matrix full-rank factorisation technique; linear sliding surface; B747-100/200 aircraft model; robust fault-tolerant control problem; compensator state signal; nonlinear discontinuous vector gain; sliding-mode controller design; static adjustment law; quantisation error; sliding-mode fault-tolerant strategy; quantisation parameter; closed-loop system; asymptotic stability; sliding-mode output feedback; uncertain linear system; actuator fault

Subjects: Multivariable control systems; Control system analysis and synthesis methods; Algebra; Stability in control theory

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