分数阶控制器参数整定策略研究

Study on Optimization of Fractional-order Controller PID Parameters

对分数维的分数阶系统的研究吸引了越来越多的研究者。分数阶PIλDμ控制器是整数阶PID控制器的一般形式,较整数阶PID控制器具有优越性,但对其整定方法的研究还很少。基于改进的随机搜索方法,实现了分数阶控制器包括积分次数、微分次数五个参数的优化整定,获得了良好的整定效果。仿真实验证明了提出的整定策略的有效性。同时通过比较说明在被控系统有非线形环节的情况下采取分数阶PIλDμ控制器往往能获得更好的控制效果。

The research on fractional system has absorbed more and more researchers. Fractional PI^λD^μ controller is a generalization of integer PID controller and has more advantages than integer PID, but the scarcity of tuning methods of the fractional PID is still a problem to be resolved. A random search optimization method with intensified and diversified search （RaslD） was applied for the optimization of the five parameters of fractional controllers, including orders of fractional calculus. Simulation results show that it is an effective tuning strategy. It also can be seen that better control quality can be achieved by using fractional PI^λD^μ controller for nonlinear systems.