Regional analysis of slope-restricted Lurie systems

Abstract

This paper considers the stability analysis of nonlinear Lurie type systems where the nonlinearity is both (locally) sector and slope restricted. Convex conditions for verifying stability, computing outer estimates of reachable sets, and upper bounds on the induced L 2 gain in a local or global domain are proposed. The conditions use a Lyapunov function that is quadratic on both the states and the nonlinearity and has an integral term on the nonlinearity. Numerical examples outline the benefits of the proposed approach.

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Authors/Creators:	Valmorbida, G. https://orcid.org/0000-0002-1710-8590 Drummond, R. https://orcid.org/0000-0002-2586-1718 Duncan, S.R. https://orcid.org/0000-0002-9525-7305
Copyright, Publisher and Additional Information:	© 2018 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other users, including reprinting/ republishing this material for advertising or promotional purposes, creating new collective works for resale or redistribution to servers or lists, or reuse of any copyrighted components of this work in other works. Reproduced in accordance with the publisher's self-archiving policy.
Keywords:	Nonlinear control systems; absolute stability; region of attraction
Dates:	Accepted: 31 May 2018 Published (online): 21 June 2018 Published: March 2019
Institution:	The University of Sheffield
Academic Units:	The University of Sheffield > Faculty of Engineering (Sheffield) > Department of Automatic Control and Systems Engineering (Sheffield)
Depositing User:	Symplectic Sheffield
Date Deposited:	14 Feb 2024 10:45
Last Modified:	14 Feb 2024 10:45
Status:	Published
Publisher:	Institute of Electrical and Electronics Engineers (IEEE)
Refereed:	Yes
Identification Number:	https://doi.org/10.1109/tac.2018.2849618

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Regional analysis of slope-restricted Lurie systems

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