Sliding Mode Control for Time-Varying Delayed Systems based on a Reduced-Order Observer

Yan, Xing-Gang and Spurgeon, Sarah K. and Edwards, Christopher (2010) Sliding Mode Control for Time-Varying Delayed Systems based on a Reduced-Order Observer. Automatica, 46 (8). pp. 1354-1362. ISSN 0005-1098. (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided)

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In this paper, a stabilisation problem for a class of nonlinear systems is considered, where both the nonlinear term and the nonlinear uncertainty are mismatched and subject to time-varying delay. Under the assumption that the delay is known, a reduced-order observer is designed using an appropriate transformation. A sliding surface is proposed in an augmented space formed by the system outputs and the estimated states. The sliding mode dynamics are derived using an equivalent control approach, and the Lyapunov-Razumikhin approach is exploited to analyse the stability of the sliding motion. Then, a sliding mode control law is developed such that the system can be driven to the sliding surface in finite time. A simulation example shows the effectiveness of the proposed approach.

Item Type: Article
Uncontrolled keywords: Time delay, Nonlinear systems, Reduced-order observer, Sliding mode control, Lyapunov-Razumikhin approach
Subjects: T Technology > TJ Mechanical engineering and machinery > Control engineering
Divisions: Faculties > Science Technology and Medical Studies > School of Engineering and Digital Arts > Instrumentation, Control and Embedded Systems
Depositing User: J. Harries
Date Deposited: 14 Oct 2010 15:49
Last Modified: 04 Jul 2014 08:35
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