淡江大學機構典藏:Item 987654321/120979
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    题名: Multiobjective control for nonlinear stochastic Poisson jump-diffusion systems via T-S fuzzy interpolation and Pareto optimal scheme.
    作者: Wu, Chien-Feng;Chen, Bor-Sen;Zhang, Weihai
    关键词: Multiobjective control design;Pareto optimality;Nonlinear stochastic Poisson jump-diffusion system;Takagi-Sugeno (T-S) fuzzy model;Stochastic exponential stability;LMI-constrained MOEA
    日期: 2020-04-15
    上传时间: 2021-08-23 12:10:51 (UTC+8)
    出版者: ELSEVIER Fuzzy Sets and Systems
    摘要: Unlike the conventional mixed control design method, this study provides a multiobjective fuzzy control design method for nonlinear stochastic Poisson jump-diffusion systems to simultaneously achieve optimal cost and robustness performance in the Pareto optimal sense via the proposed evolutionary algorithm. For a nonlinear stochastic Poisson jump-diffusion system, the Poisson jumps cause its system behaviors to change intensely and discontinuously. To design an efficient controller for a nonlinear stochastic jump-diffusion system is much more difficult. On the other hand, the and performance indices generally conflict with each other and can be regarded as a multiobjective optimization problem (MOP). It is not easy to directly solve this MOP, owing to (i) the Pareto front of the MOP is difficult to obtain through direct calculation; (ii) the MOP is a Hamilton-Jacobi-Inequalities (HJIs)-constrained MOP. To address these issues, we use Takagi-Sugeno (T-S) interpolation scheme to transform the HJIs-constrained MOP into a linear matrix inequality (LMI)-constrained MOP. Then, we employ the proposed LMI-constrained multiobjective optimization evolutionary algorithm (LMI-constrained MOEA) to efficiently search for the Pareto optimal solution, from which the designer can select one kind of design according to their preference. Finally, a design example is given to illustrate the design procedure and to verify our results.
    關聯: Fuzzy Sets and Systems,385,p.148-168
    DOI: 10.1016/j.fss.2019.02.020
    显示于类别:[電機工程學系暨研究所] 期刊論文

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