Multiobjective control for nonlinear stochastic Poisson jump-diffusion systems via T-S fuzzy interpolation and Pareto optimal scheme.
學年 108
學期 2
出版（發表）日期 2020-04-15
作品名稱 Multiobjective control for nonlinear stochastic Poisson jump-diffusion systems via T-S fuzzy interpolation and Pareto optimal scheme.
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 Fuzzy Sets and Systems,385,p.148-168
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.
關鍵字 Multiobjective control design;Pareto optimality;Nonlinear stochastic Poisson jump-diffusion system;Takagi-Sugeno (T-S) fuzzy model;Stochastic exponential stability;LMI-constrained MOEA
語言 zh_TW
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 GBR
公開徵稿
出版型式 ,電子版
相關連結

機構典藏連結 ( http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/120979 )