Yan, Xing-Gang and Spurgeon, S.K. and Edwards, C. (2009) Global Stabilisation for a Class of Nonlinear Time-Delay Systems based on Dynamical Output Feedback Sliding Mode Control. International Journal of Control, 82 (12). pp. 2293-2303. ISSN 0020-7179 print 1366-5820 online.
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In this article, global stabilisation for a class of nonlinear time-varying delay systems with mismatched uncertainty is considered. The bound on the uncertainty is nonlinear and involves time-delay. For this system, a dynamical compensator is first designed. A delay free sliding surface in thye augmented space formed by the system output and the compensator state variables is proposed. The stability of the sliding mode dynamics, which include the time-delay effects, are analysed using the Lyapunov-Razumikhin approach. Then, a delay dependent sliding mode control is proposed such that the system can be driven to the sliding surface in finite time and maintain a sliding motion on it thereafter. Finally, a simulation is presented to illustrate the effectiveness of the obtained results.
|Uncontrolled keywords:||nonlinear systems, sliding mode control, time-varying delay, dynamical output feedback|
|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:||10 Nov 2009 14:09|
|Last Modified:||05 Oct 2012 11:01|
|Resource URI:||http://kar.kent.ac.uk/id/eprint/23149 (The current URI for this page, for reference purposes)|
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