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随机时延线性系统的IMC-PID设计
Authors
杨晓栋
章垚
黄春庆
Publication date
25 February 2016
Publisher
Abstract
基于IMC(内模控制)框架,本文研究了具有随机不确定性时延的FOPDT(一阶时延)对象的最优IAE性能问题及其PID优化设计方法。这是传统的确定性优化方法无法解决的问题。首先,在IMC(内模控制)框架下,借用麦克劳林展开式和一阶泰勒近似,获得了内模控制器及其参数与PID控制器参数之间的关系式。从概率角度出发,通过求解实现IAE性能均值最优化的内模控制器及其参数,并利用上述关系,得到了相应的最优PID控制器参数整定规则,减少了传统参数整定方法的保守性。随机时延参数FOPDT对象的仿真,验证了本文所提出方法的有效性,并且表明:对于随机时延的FOPDT对象,与传统最优IAE PID整定方法如Murrill等(1967)、Smith等(1997)以及Madhuranthakam等(2008)方法相比,本文所整定PID控制器具有更好的IAE性能。福建省自然科学基金资助项目(2012J01288
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Last time updated on 10/06/2020