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Piecewise Lyapunov Stability Conditions of Fuzzy Systems

Piecewise Lyapunov Stability Conditions of Fuzzy Systems
Piecewise Lyapunov Stability Conditions of Fuzzy Systems
In this paper we address the stability of a class of nonlinear fuzzy systems that can be decomposed into a set of local models characterised as Takagi-Sugeno models. This new approach includes a consideration of the input membership functions, via this a reduction in the number of candidate Lyapunov functions and associated linear matrix inequalities (LMIs) is produced. This approach significantly reduces the computational load associated with determining closed loop stability as the input dimension increases.
259-262
Ming, Feng
124509f7-e048-4ca7-8b3a-b710b4337478
J., Harris C.
c4fd3763-7b3f-4db1-9ca3-5501080f797a
Ming, Feng
124509f7-e048-4ca7-8b3a-b710b4337478
J., Harris C.
c4fd3763-7b3f-4db1-9ca3-5501080f797a

Ming, Feng and J., Harris C. (2001) Piecewise Lyapunov Stability Conditions of Fuzzy Systems. IEEE Transactions on SMC, 31 (2), 259-262.

Record type: Article

Abstract

In this paper we address the stability of a class of nonlinear fuzzy systems that can be decomposed into a set of local models characterised as Takagi-Sugeno models. This new approach includes a consideration of the input membership functions, via this a reduction in the number of candidate Lyapunov functions and associated linear matrix inequalities (LMIs) is produced. This approach significantly reduces the computational load associated with determining closed loop stability as the input dimension increases.

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More information

Published date: 2001
Organisations: Southampton Wireless Group

Identifiers

Local EPrints ID: 252908
URI: http://eprints.soton.ac.uk/id/eprint/252908
PURE UUID: 3fad5250-5292-4fff-b2db-e58608a03381

Catalogue record

Date deposited: 20 Jun 2001
Last modified: 08 Jan 2022 02:39

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Contributors

Author: Feng Ming
Author: Harris C. J.

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