On the Design of Sliding-Mode Static-Output-Feedback Controllers for Systems with State Delay

Han, X.R. and Fridman, Emilia and Spurgeon, Sarah K. and Edwards, Christopher (2009) On the Design of Sliding-Mode Static-Output-Feedback Controllers for Systems with State Delay. IEEE Transactions on Industrial Electronics, 56 (9). pp. 3656-3664. (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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This paper considers the development of sliding-mode-based output-feedback controllers for uncertain systems which are subject to time-varying state delays. A novel method is proposed for design of the switching surface. This method is based ont he descriptor approach and leads to a solution in terms of linear matrix inequalities (LMIs). When compared to existing methods (even for systems without delays), the proposed method is efficient and less conservative than other results, giving a feasible soolution when the Kimura-Davison conditions are not satisfied. No additional constraints are imposed on the dimensions of structure of the reduced order triple associated with design of the switching surface. The magnitude of the linear gain used to construct the controller is also verified as an appropriate solution to the reachability problem using LMIs. A stability analysis for the full-order time-delay systemn with discontinuous right-hand side is formulated. This paper facilitates the constructive design of sliding mode static-output-feedback controllers for a rather general class of time-delay systems. A numerical example from the literature illustrates the efficiency of the proposed method.

Item Type: Article
Uncontrolled keywords: Linear matrix inequalities (LMIs), sliding-mode control (SMC), static output feedback (SOF), time delay
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: 06 Apr 2010 14:14
Last Modified: 07 Jul 2014 08:38
Resource URI: https://kar.kent.ac.uk/id/eprint/24206 (The current URI for this page, for reference purposes)
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