Multiobjective $H_{2}/H_{\infty }$ Control Design of the Nonlinear Mean-Field Stochastic Jump-Diffusion Systems via Fuzzy Approach.
學年 107
學期 1
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 en_US
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 是
國別 USA
公開徵稿
出版型式 ,電子版,紙本
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機構典藏連結 ( http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/120978 )