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Output Feedback Sliding Mode Control of Systems with Bounded Disturbances

Han, X.R., Fridman, Emilia, Spurgeon, Sarah K. (2009) Output Feedback Sliding Mode Control of Systems with Bounded Disturbances. In: Proceedings of the European Control Conference, Budapest, Hungary. . (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) (KAR id:20338)

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.

Abstract

This paper considers linear systems with bounded disturbances that are not necessarily matched. A static output feedback sliding mode controller is designed. The existence problem is solved by determining a sliding surface that minimizes the ultimate bound of the reduced-order dynam ics in the presence of unmatched disturbances. Linear Matrix Inequalities (LMIs) are derived to compute the sliding surface via a descriptor approach. Then, a gain of the switching function that guarantees that the sliding mode is reached is found using LMIs. In the case of matched disturbances, the controller provides exponential stability whereas in the case of unmatched disturbances the ultimate bound is defined by the reduced-order dynamics and is proportional to the bound on the matched disturbances. A numerical example from the literature illustrates the proposed method.

Item Type: Conference or workshop item (Paper)
Subjects: T Technology > TJ Mechanical engineering and machinery > Control engineering
Divisions: Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Engineering and Digital Arts
Depositing User: J. Harries
Date Deposited: 17 Aug 2009 13:07 UTC
Last Modified: 16 Nov 2021 09:58 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/20338 (The current URI for this page, for reference purposes)

University of Kent Author Information

Han, X.R..

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Spurgeon, Sarah K..

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