基于H_∞最优控制理论的粒子群优化算法在造纸定量控制中的应用

A H_∞ Optimal Control Based PSO Method for Basis Weight Control in Paper Manufacturing Processes

针对造纸定量控制系统具有非线性、时滞、多干扰等控制难点,本课题提出一种基于H_∞最优控制理论的粒子群优化算法(PSO)优化PID参数。改进的PSO具有对控制系统过程模型的依赖性小、参数整定简单、鲁棒性和抗干扰性强的特点。与传统算法相比,基于H_∞最优控制理论的PSO可以高效地找出符合设计要求的PID调节参数,不会陷入局部最优,且使系统性能指标达到最优或次最优。并且,仿真结果也验证了该算法的有效性和实用性。

Basis weight control system in paper manufacturing process is a high order non-linear system with time delay and complicated interference. According to the characteristics of basis weight control system,this paper proposed a PSO-PID parameters tuning method based on H∞ optimal control theory. By introducing the liner decreasing inertia weight ω to optimize the PSO＇s global and local searching ability. Simulation results verified that the proposed strategy could find a group of PID tuning parameters efficiently,thereby reducing the searching scope. Furthermore,compared to conventional PID parameter tuning methods,this strategy had a better convergence rate and computation precision; robustness and response speed of the system were improved as well.