Decentralised H ∞ fuzzy filter for non‐linear large‐scale systems under imperfect premise matching. Issue 18 (1st December 2015)

• Record Type: Journal Article
• Authors: Kim, Ho Jun; Park, Jin Bae; Joo, Young Hoon
• Is Part Of: IET control theory & applications. Volume 9:Issue 18(2015)
• Page Start: 2704
• Page End: 2714
• Publication Date: 2015-12-01
• Subjects: decentralised control -- H∞ control -- fuzzy control -- filtering theory -- asymptotic stability -- linear matrix inequalities -- Lyapunov methods -- large‐scale systems -- nonlinear control systems; decentralised H∞ fuzzy filter -- nonlinear large‐scale system -- imperfect premise matching -- decentralised H∞ filter design problem -- Takagi‐Sugeno fuzzy model -- fuzzy Lyapunov -- asymptotic stability -- linear matrix inequalities -- convex optimisation algorithm; Control theory -- Periodicals; Automatic control -- Periodicals; 629.8312
• DOI: 10.1049/iet-cta.2015.0602
• Languages: English
• ISSNs: 1751-8644

Abstract

Abstract : This study presents a decentralised H ∞ filter design problem for non‐linear large‐scale systems that are represented based on the Takagi–Sugeno fuzzy model. To enhance the design flexibility of the fuzzy filter for non‐linear large‐scale systems, the imperfect premise matching problem is adopted in the filter design procedure. In the sense of fuzzy Lyapunov, sufficient conditions for both asymptotic stability of the error system and a prescribed level of the H ∞ norm are ensured to guarantee the H ∞ fuzzy filter performance. The sufficient conditions are formulated in terms of linear matrix inequalities, which can be solved efficiently using convex optimisation algorithms. Finally, simulation examples are provided to verify the feasibility of the proposed approach.