【摘要】 现有的PID参数优化方法往往难以同时兼顾系统对快速性、稳定性与鲁棒性的要求,针对这一缺陷,提出了一种多目标PID优化设计方法——在满足系统鲁棒性的前提下,以超调量、上升时间和调整时间最小作为多目标优化的子目标,并将NSGA-Ⅱ与PGA相结合对其求解。该算法求得的Pareto最优解分布均匀,收敛性和鲁棒性好,决策者可根据实际系统的要求在Pareto解集中选择最终的满意解,这为快速性、稳定性与鲁棒性的权衡分析提供了有效的工具。仿真结果证明了本文设计方法的有效性和优越性。更多还原

【Abstract】 It is often very difficult for current PID optimization method to take account of system requirement for quickness, reliability and robustness at same time. To solve this problem, a multi-objective optimization design method is proposed in this paper. Under the precondition of guaranteeing the robust performance of the system, minimum overshoot, rise time and setting time are taken as the sub-objectives. Then NSGA-Ⅱ and PGA are combined to reach the final solution. This method can obtain uniformly distributed Pareto-optimal solutions and have good convergence and excellent robustness. The satisfactory solution is selected in Pareto optimum solution set according to the system requirement, which provides an effective tool for balancing the performance of quickness, stability and robustness. Simulation results support the superiority and effectiveness of the proposed method.更多还原