Multiobjective H2/H∞ Control Design for Nonlinear Stochastic Chaotic Systems via a Front-Squeezing LMIs-Constrained MOEA

doi:10.1007/s40815-021-01149-z

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题名:	Multiobjective H2/H∞ Control Design for Nonlinear Stochastic Chaotic Systems via a Front-Squeezing LMIs-Constrained MOEA
作者:	Wu, Chien-Feng;Hsu, Chun-Fei;Hwang, Chi-Kuang
关键词:	Multiobjective H2/H∞ control;Takagi–Sugeno fuzzy model;Pareto optimal solution;Front-squeezing linear matrix inequalities-constrained multiobjective evolution algorithm
日期:	2021-08-22
上传时间:	2021-10-16 12:10:21 (UTC+8)
出版者:	Springer
摘要:	This study proposes the multiobjective H2/H∞ fuzzy control design for a nonlinear stochastic chaotic system via concurrently optimizing H2 and H∞ performance indices in a Pareto optimal sense. Using the Takagi–Sugeno fuzzy model to approximate the nonlinear stochastic chaotic system, the multiobjective H2/H∞ fuzzy control design problem can be transformed into a linear matrix inequalities (LMIs)-constrained multiobjective optimization problem (an LMIs-constrained MOP). By the help of the LMIs-constrained multiobjective evolution algorithm (LMIs-constrained MOEA), one can obtain the Pareto optimal controller. However, the existing LMIs-constrained MOEA usually couples with a heavy computational load. This study proposes the front-squeezing LMIs-constrained MOEA to resolve such a computational cost problem. Finally, a simulation example is presented to verify the effectiveness of the proposed theories.
關聯:	International Journal of Fuzzy Systems
DOI:	10.1007/s40815-021-01149-z
显示于类别:	[電機工程學系暨研究所] 期刊論文

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