Stability analysis and controller synthesis for fuzzy descriptor systems

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Title:	Stability analysis and controller synthesis for fuzzy descriptor systems
Authors:	Huanga, Chih-Peng;黃志鵬
Keywords:	fuzzy descriptor system;stability analysis;controller synthesis;T–S model;linear matrix inequality (LMI)
Date:	2013-01
Issue Date:	2015-10-29 15:09:13 (UTC+8)
Abstract:	This article primarily investigates the stability and controller design of fuzzy descriptor systems. The standard Takagi–Sugeno (T–S) fuzzy model is generalised into a descriptor T–S fuzzy model with the distinct derivative matrices in each rule, which can be used to represent a larger class of nonlinear systems. Based on a derived equivalent stability condition for the nominal descriptor system, the stability of unforced fuzzy descriptor systems with blending different derivative matrices can be treated. Furthermore, parallel distributed compensation (PDC) and a fuzzy proportional and derivative state feedback (PDSF) controller are proposed for stabilising the resulting closed-loop fuzzy descriptor systems. Significantly, all the presented criteria are formulated in terms of linear matrix inequalities (LMIs), so the stability analysis or a stabilising fuzzy controller can be readily achieved via current LMI solvers. Given numerical examples, we demonstrate the effectiveness and merit of the proposed approach.
Relation:	International Journal of Systems Science，v.44n.1，p.23-33
Appears in Collections:	[Department of Computer Science] Periodical Articles

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