Yan, X.G. and Spurgeon, S.K. and Edwards, C. (2010) Sliding Mode Control for Time-Varying Delayed Systems based on a Reduced-Order Observer. Automatica, 46 (8). pp. 1354-1362. ISSN 0005-1098.
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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.
|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:||Jenny Harries|
|Date Deposited:||14 Oct 2010 15:49|
|Last Modified:||04 Oct 2012 13:58|
|Resource URI:||http://kar.kent.ac.uk/id/eprint/25850 (The current URI for this page, for reference purposes)|
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