摘要
主要研究分数阶PID控制器参数整定问题,给出了一种基于最大灵敏度指标的分数阶PID参数最优整定方法。首先用D分割原理求得系统的参数稳定域,然后由灵敏度约束指标在参数稳定域内得到满足指标要求的参数解集。进而对参数进行优化,根据超调和调节时间定义分数阶PID控制器的优化函数,在所得的满足灵敏度约束指标的参数解集中求得一组最优的参数解。最后通过进行数值仿真,验证算法效果。
In this paper, The problem of turning parameter of fractional PID controller is studied, and a optimal turning method based on the design constraints under Sensitivity index is proposed. First, according to the D-Partition principle, the parameter stability do- main could be obtained. Then, the parameter solution can be got by the constraints under Sensitivity index. The parameter is optimized in term of optima/function related to overshoot and adjusting time, and the parameter of optimization is obtained from the parameters so- lution which meets the sensitivity index . Finally, Algorithm Effect is verified through simulation.
出处
《控制工程》
CSCD
北大核心
2014年第6期1001-1005,共5页
Control Engineering of China
基金
国家自然科学基金项目(61333010)
十二五国家科技支撑计划项目(2012BAF05B00)
上海市科技攻关项目(12dz1125100)
上海市"科技创新行动计划"研发平台建设项目(13DZ2295300)
上海市自然科学基金(14ZR1421800)
流程工业综合自动化国家重点实验室开放课题基金资助项目(PAL-N201404)
关键词
分数阶PID
灵敏度约束
参数整定
优化
fractional PID
sensitivity constraint
parameter turning
optimization
