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摘要: 多目标优化方法对所用的目标函数和约束要进行分析和改进, 为了多个目标的同时实现和分析本文研究了一种新的基于组织型 P 系统的多目标优化算法来设计 PID 控制器. 控制器参数被编码后按照与膜结构相关的规则进化, 组织型 P 系统具有独特的动态膜结构, 整个参数群体被动态膜结构划分成几个子群体计算降低了计算复杂性. 仿真结果表明所提算法收敛快, 解的精度高, 而且在 Pareto 前沿上均匀分布, 所得的控制器具有令人满意的控制性能. 实验结果显示新算法适于研究不同性能指标和调节参数之间的关系, 可以用于设计和评估不同的控制器.Abstract: Controller design using the multiobjective optimization method is considered, in which the objectives and constraints for designing controllers are analyzed and improved. In order to satisfy the objectives synchronously, a new multiobjective optimization algorithm is introduced into designing an optimal PID controller, inspired by tissue P systems. The controller's parameters are coded and evolved according to the rules of the associated membrane. The unique design is that the whole population of the structure is divided into several subpopulations to decrease the computational complexity. Simulation results show that the algorithm converges fast and the solutions form a precise front and distribute uniformly. The controllers designed by the variant of P systems have satisfactory performance. Moreover, the analysis of solutions shows that the new algorithm is suitable for studying the relationship between performance and tuning parameters. The proposed method is useful for designing and evaluating different controllers.
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Key words:
- Controller /
- tissue P systems (TPS) /
- multiobject optimization /
- Pareto optimality
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