一种全局和声搜索算法及在PID控制中的应用

A Global Harmony Search Algorithm and Its Application to PID Control

PID控制受到H∞多性能标准的限制,是一类约束优化问题.引入了一种全局和声搜索算法(GHS)以解决PID控制问题.由于使用了位置更新和小概率的变异,GHS算法具有很强的收敛性和跳出局部最优的能力.通过结合GHS算法和一种罚函数法来处理目标和约束之间的矛盾.实验结果表明,GHS算法在解决PID控制问题上具有很强的解空间开发能力,它所获得的解要好于文献中所报道的解.

Restricted by the multi-function H∞ criterion,the PID control is essentially a constrained optimization problem. A global harmony search （GHS） algorithm is introduced to solve the problem since GHS has strong convergence and the capability of getting rid of the local optimum due to the utilization of position updating and mutation with low probability. Then,the contradiction between objective and constraint can be settled by combining GHS with a penalty function. Experimental results showed that the GHS algorithm has a high developability to solve the spatial problems of PID control,and that the solutions by GHS are better than the other ones in earlier work.