分数阶PI^λD^μ控制器的设计方法——极点阶数搜索改进法  

The Design of Fractional - order PI^λD^μ Controller Based on Poles and Orders Searching

作　　者：严慧[1] 

机构地区：[1]金陵科技学院信息技术学院,江苏南京211169

出　　处：《中国制造业信息化（学术版）》2010年第9期44-48,共5页

摘　　要：基于分数阶被控系统提出了分数阶PIλDμ控制器,该控制器将传统整数阶PID控制器的微分与积分阶数扩展到分数,增加了2个参数μ和λ。相比整数阶PID控制器,分数阶PIλDμ控制器的设计更加灵活,但设计过程较复杂。在极点阶数搜索法的基础上,提出了分数阶PIλDμ控制器设计的改进方法,其基本原理是,首先估计比例参数KP,其次搜索一对使系统时域性能较好的极点,然后根据时域指标搜索较好的μ,λ并计算出KI,KD,最终设计出合适的分数阶PIλDμ控制器。仿真结果证实,与极点阶数搜索法相比,它的改进法设计出的分数阶PIλDμ控制器能够更好地调节系统,系统响应能够达到更高的时域指标,并且具备很好的动、稳态性能。Based on fractional- order controlled system it introduces the fractional- order PI^λD^μ controller. This controller expands the orders of integrator and differentiator of classical integer - order PID controller into fractional order, so it has two more parametersμ and λ,. Compared with integer - order PID controller, fractional- order PI^λD^μ controller can be flexibly designed but the design process will be more difficult. Based on poles - orders searching method, it proposes an improved method to design fractional - order PI^λD^μ controller. The fundamental principle of the method is as follows： estimates proportional parameter KP, searches a pair of poles in order to get better system time domain performance, determines the betterμ, λ parameters KI and KD according to performance requirements in time domain, designs a appropriate fractional - order PI^λD^μ controller. Compared with poles- orders searching method, the simulation verifies that the designed controller can adjust the control system better, the system response can meet higher time domain performance and attain better dynamic and static performance.

关 键 词：分数阶PIλDμ控制器 分数阶控制系统 极点 阶数 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]