Multiobjective $H_{2}/H_{\infty }$ Control Design of the Nonlinear Mean-Field Stochastic Jump-Diffusion Systems via Fuzzy Approach.

doi:10.1109/TFUZZ.2018.2866823

淡江大學機構典藏 > 工學院 > 電機工程學系暨研究所 > 期刊論文 > Item 987654321/120978

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题名:	Multiobjective $H_{2}/H_{\infty }$ Control Design of the Nonlinear Mean-Field Stochastic Jump-Diffusion Systems via Fuzzy Approach.
作者:	Wu, Chien-Feng;Chen, Bor-Sen;Zhang, Weihai
关键词:	Control design;Stochastic systems;Pareto optimization;Stochastic processes;Mathematical model;Stability criteria
日期:	2018-08-23
上传时间:	2021-08-23 12:10:48 (UTC+8)
摘要:	In this study, the multiobjective H 2 /H ∞ fuzzy control design is investigated for nonlinear mean-field jump diffusion (MFSJD) systems for concurrently minimizing both H 2 and H ∞ performance. Since H 2 and H ∞ performance usually conflict with one another, the optimization problem that concurrently minimizes H 2 and H ∞ performance can be regarded as a dynamically constrained multiobjective optimization problem (MOP). Because Hamilton-Jacobi inequalities of the nonlinear MFSJD systems are difficult to derive, multiobjective H 2 /H∞ control design problems of nonlinear MFSJD system are difficult to solve. The Takagi-Sugeno fuzzy interpolation scheme and an indirect method are introduced to help transform the dynamically constrained MOP into linear matrix inequalities (LMIs) constrained MOP. Thus, one can accomplish the multiobjective H 2 /H ∞ fuzzy control design via LMI-constrained multiobjective evolutionary algorithms (MOEAs). To efficiently solve the multiobjective H 2 /H ∞ control design problem, we propose a novel LMI-constrained MOEA called fronts-squeezing. The fronts-squeezing LMI-constrained MOEA can concurrently search Pareto front from both sides of feasible and infeasible regions and narrow the search region down to increase efficiency. Finally, we present a simulation example about the multiobjective regulation of nonlinear MFSJD financial system to illustrate the design procedure and verify the proposed theories.
關聯:	IEEE Trans. Fuzzy Syst.,27(4),p.686-700
DOI:	10.1109/TFUZZ.2018.2866823
显示于类别:	[電機工程學系暨研究所] 期刊論文

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