Tolerance design of robust controllers for uncertain interval systems based on evolutionary algorithms
Tolerance design of robust controllers for uncertain interval systems based on evolutionary algorithms
复制标题
基于进化算法的不确定区间系统鲁棒控制器容差设计
DOI：
10.1049/iet-cta:20050300
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发表时间：
2007
期刊：
影响因子：
--
通讯作者：
Chih
中科院分区：
文献类型：
--
作者：
C. Hsu;S. Chang;Chih
针对不确定区间系统，提出了一种多目标遗传算法设计容差控制器的方法。给定一组规格方面的可接受范围的增益裕度（GM）和相位裕度（PM），设计的目标是进化推导控制器，使闭环稳定性和所需的动态性能得到保证。极值设计理念的基础上，设计问题首先制定为约束优化问题的基础上所需的和极值GM/PM的回路传递函数之间的偏差，随后通过建议的遗传算法进行优化。为了确保闭环系统的鲁棒稳定性，将使用与广义Kharitonov片段多项式相关的根位置来建立约束处理机制，在此基础上可以构建适应度函数，以有效评估当前种群中的染色体。由于成本函数采用了中心性的概念，进化的方向是导出具有更好的中心性和有限的传播沿着所需的可接受区域的公差控制器的帕累托最优解，从而导致更一致的系统性能和改善的闭环系统的鲁棒性。
A multi-objective genetic algorithm approach is proposed to design tolerance controllers for uncertain interval systems. Given a set of specifications in terms of acceptability ranges of gain margin (GM) and phase margin (PM), the design objective is to evolutionarily derive controllers such that closed-loop stability and desired dynamic performance are guaranteed. On the basis of extremal design philosophy, the design problem is first formulated as constrained optimisation problems based on deviation between the desired and extremal GM/PM of the resulting loop-transfer function, and subsequently optimised via the proposed genetic algorithm. To ensure robust stability of the closed-loop system, root locations associated with the generalised Kharitonov segment polynomials will be used to establish a constraints handling mechanism, on the basis of which fitness functions can be constructed for effective evaluation of chromosomes in the current population. Because of the cost functions that adopt the concept of centrality, evolution is directed towards derivation of Pareto-optimal solutions of the tolerance controllers with better centrality and limited spreading along the desired region of acceptability, resulting in more consistent system performances and improved robustness of the closed-loop system.