教師資料查詢 | 類別: 期刊論文 | 教師: 吳建鋒 CHIEN-FENG WU (瀏覽個人網頁)

標題:Multiobjective $H_{2}/H_{\infty }$ Control Design of the Nonlinear Mean-Field Stochastic Jump-Diffusion Systems via Fuzzy Approach.
學年
學期
出版(發表)日期2018/08/23
作品名稱Multiobjective $H_{2}/H_{\infty }$ Control Design of the Nonlinear Mean-Field Stochastic Jump-Diffusion Systems via Fuzzy Approach.
作品名稱(其他語言)
著者Chien-Feng Wu; Bor-Sen Chen; Weihai Zhang
單位
出版者
著錄名稱、卷期、頁數IEEE Trans. Fuzzy Syst.,27(4),p.686-700
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.
關鍵字Control design;Stochastic systems;Pareto optimization;Stochastic processes;Mathematical model;Stability criteria
語言英文(美國)
ISSN
期刊性質國外
收錄於SCI;
產學合作
通訊作者Bor-Sen Chen
審稿制度
國別美國
公開徵稿
出版型式,電子版,紙本
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