一种复杂系统的分数阶内模PID控制器设计

Design of a fractional internal model PID controller for a complex system

高阶次复杂控制系统在系统分析与设计的过程中难以达到理想的效果,控制过程影响系统的准确性和控制性能,针对此问题提出了一种基于混合粒子群算法降阶的分数阶内模PID控制的设计方法。利用混合粒子群优化算法将原模型降阶为含有延迟环节的新型分数阶模型,再依据分数阶内模控制器的结构设计进行控制器的参数整定。仿真结果表明,降阶后的简单模型可以精确地逼近复杂的高阶系统,在降阶基础上的分数阶内模控制器具有良好的控制性能以及鲁棒稳定性。

High-order complex control systems were difficult to achieve ideal results in system analysis and design, affecting system accuracy and control performance. Aiming at this problem, a design method of fractional order internal model control based on hybrid particle swarm optimization is proposed. It is to downgrade the original model into a new fractional-order model with delay links using hybrid particle swarm optimization algorithm. And according to the structural design of the fractional-order internal model controller,the parameter tuning of the controller is carried out. The simulation results show that the reduced model can accurately approximate complex high-order systems. The fractional order internal mode controller with reduced order has good control performance and robust stability.