滞后过程PI控制器性能设计图解法

Graphical Approach to Performance Design of PI Controllers for Dead-Time Processes

针对带滞后因子的一阶惯性环节,基于一种时滞系统图解稳定性准则,讨论了PI控制器参数稳定域的确定,并将该思想推广应用于相角裕度和幅值裕度的设计.根据图解稳定性准则给出了时滞系统稳定的充分必要条件,所得结果没有任何保守性.可以在参数空间直接绘制PI控制器的稳定参数边界曲线、相角裕度和幅值裕度曲线,避免了复杂的数学计算.给出了确定参数稳定域、相角裕度和幅值裕度的具体算法.仿真算例说明了本文方法的灵活性和实用性.

Based on a graphical stability criterion in parameter space,the stabilizing region of PI parameters was discussed for first-order processes with dead-time ,and this kind of design method was extended to the case of achieving the given phase and gain margins. The graphical stability criterion releases a necessary and sufficient stability condition for dead-time processes ,and the obtained results have no conservatism. The boundary curves of stabilizing region and the phase and gain margin curves could be drawn directly in parameter space ,need not to be calculated mathematically. The practical algorithms for determining the stabilizing region and the phase and gain margins were given. Simulation examples show the flexibility and applicability of the design procedure.