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Discrete-time output feedback sliding-mode control design for uncertain systems using linear matrix inequalities

Srinath Govindaswamy 1 Sarah Spurgeon 1 Thierry Floquet 2, 3
2 NON-A - Non-Asymptotic estimation for online systems
Inria Lille - Nord Europe, CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189
3 SyNeR - Systèmes Non Linéaires et à Retards
CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189
Abstract : An output feedback-based sliding-mode control design methodology for discrete-time systems is considered in this article. In previous work, it has been shown that by identifying a minimal set of current and past outputs, an augmented system can be obtained which permits the design of a sliding surface based upon output information only, if the invariant zeros of this augmented system are stable. In this work, a procedure for realising discrete-time controllers via a particular set of extended outputs is presented for non-square systems with uncertainties. This method is applicable when unstable invariant zeros are present in the original system. The conditions for existence of a sliding manifold guaranteeing a stable sliding motion are given. A procedure to obtain a Lyapunov matrix, which simultaneously satisfies both a Riccati inequality and a structural constraint, is used to formulate the corresponding control to solve the reachability problem. A numerical method using linear matrix inequalities is suggested to obtain the Lyapunov matrix. Finally, the design approach given in this article is applied to an aircraft problem and the use of the method as a reconfigurable control strategy in the presence of sensor failure is demonstrated.
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https://hal.inria.fr/hal-00643777
Contributor : Thierry Floquet Connect in order to contact the contributor
Submitted on : Tuesday, November 22, 2011 - 5:35:44 PM
Last modification on : Thursday, April 1, 2021 - 10:35:34 AM

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Srinath Govindaswamy, Sarah Spurgeon, Thierry Floquet. Discrete-time output feedback sliding-mode control design for uncertain systems using linear matrix inequalities. International Journal of Control, Taylor & Francis, 2011, 84 (5), pp.916-930. ⟨10.1080/00207179.2011.583683⟩. ⟨hal-00643777⟩

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