| 引用本文: | 胡小青,胥布工.不确定区域下基于自适应并行遗传的最优鲁棒控制器[J].控制理论与应用,2012,29(4):433~439.[点击复制] |
| HU Xiao-qing,XU Bu-gong.Optimal robust controller based on adaptive parallel genetic algorithms in uncertain domain[J].Control Theory and Technology,2012,29(4):433~439.[点击复制] |
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| 不确定区域下基于自适应并行遗传的最优鲁棒控制器 |
| Optimal robust controller based on adaptive parallel genetic algorithms in uncertain domain |
| 摘要点击 2100 全文点击 1467 投稿时间：2011-04-13 修订日期：2011-06-23 |
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| DOI编号 10.7641/j.issn.1000-8152.2012.4.CCTA110387 |
| 2012,29(4):433-439 |
| 中文关键词 不确定区域 最优控制 并行遗传 鲁棒稳定 概率统计 |
| 英文关键词 uncertain domain optimal control parallel genetic algorithm robust stability probability and statistics |
| 基金项目 国家自然科学基金资助项目(61174070); 国家自然科学基金–广东省联合基金重点资助项目(U0735003). |
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| 中文摘要 |
| 目前使用遗传算法设计鲁棒控制器时, 都要人为地给定变量搜索空间. 当变量区域不确定时, 采用自适应并行遗传算法设计出最优鲁棒控制器, 该方法根据当前搜索到的各种群最优个体的分布情况, 运用概率统计理论求出变量区域的最小方差无偏估计, 不断缩小不确定的变量搜索区域, 从而逐步达到最优, 并且考虑了种群个体适应度对算法中交叉概率和变异概率的影响. 该方法能设计出简单正则、阶数低的最优鲁棒控制器, 而且仿真结果表明, 这些控制器有效地避免了局部最优, 提高了算法的寻优精度和收敛速度. |
| 英文摘要 |
| In most of the existing robust controller designs based on the genetic algorithm, the search domains of variable are factitiously assigned. For undefined search domains, we propose a novel method for designing the optimal robust controller based on the adaptive parallel genetic algorithm. According to the distribution of the best individuals of each population in the current search, the algorithm narrows the uncertain search domain of variables by using the probability and statistics theory, so as to gradually achieve the optimum. Moreover, the impact of the individual fitness on the crossover probability and mutation probability is also investigated. By using this method, we design a simple, proper and low-order optimal robust controller, which effectively avoids the local optimum and improves the convergence and accuracy in simulation experiments. |
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