H-infinity control of non-linear dynamic systems: a new fuzzy delay partitioning approach

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Zhao, Yan, Wu, Junli and Shi, Peng (2009) H-infinity control of non-linear dynamic systems: a new fuzzy delay partitioning approach. IET Control Theory and Applications, 3 (7). pp. 917-928. ISSN 1751-8644


The problem of robust H infin control for Takagi-Sugeno (T-S) fuzzy systems with norm-bounded parameter uncertainties and a time delay in the state is investigated. Attention is focused on the design of robust H infin controllers via the parallel distributed compensation scheme such that the closed-loop fuzzy time-delay system is asymptotically stable and the H infin disturbance attenuation is below a prescribed level. By utilising the instrumental idea of delay partitioning, a new Lyapunov-Krasovskii functional is introduced, and some novel ideas for achieving delay dependence and basis dependence have been employed, which guarantee the obtained conditions to be much less conservative than most existing results in the literature. These conditions are formulated in the form of linear matrix inequalities (LMIs), based on which, the controller design is cast into a convex optimisation problem subject to LMI constraints. Finally, two examples are illustrated to show the feasibility and effectiveness of the obtained results.

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Item type Article
URI https://vuir.vu.edu.au/id/eprint/4740
DOI https://doi.org/10.1049/iet-cta.2008.0272
Official URL http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arn...
Subjects Historical > SEO Classification > 970101 Expanding Knowledge in the Mathematical Sciences
Historical > Faculty/School/Research Centre/Department > Institute for Logistics and Supply Chain Management (ILSCM)
Historical > FOR Classification > 0199 Other Mathematical Sciences Information Systems
Keywords ResPubID19352, H-infinity control, Lyapunov methods, asymptotic stability, closed loop systems, compensation, control system synthesis, convex programming, delay systems, delays, fuzzy control, fuzzy systems, linear matrix inequalities, nonlinear control systems, nonlinear dynamical systems, robust control
Citations in Scopus 22 - View on Scopus
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