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对含有时滞的低阶过程,提出了基于阻尼比约束的比例积分(PI)调节器最优化设计方法。由系统闭环特征方程可导出PI调节器的比例增益和积分增益与系统阻尼比和振荡频率的显示关系,在特定阻尼比下能够得到使系统积分增益最优的参数值。同时,对于不同PI调节器,也能够图解分析控制系统的阻尼比。针对低阶时滞过程,给出了能用于参数自整定的最优PI运算方法。仿真表明,该方法所得PI控制系统针对不同时滞过程都有满意的鲁棒性和积分性能,对其他过程控制器参数优化有极大借鉴作用。
For the low-order process with time delay, an optimal design method of PI regulator based on damping ratio constraint is proposed. The closed loop characteristic equation of the PI controller can be used to derive the proportional gain and integral gain of the PI regulator and the relationship between the system damping ratio and the oscillation frequency. Under a specific damping ratio, the parameter value that makes the system integral gain optimal can be obtained. At the same time, the damping ratio of the control system can also be diagrammatically analyzed for different PI regulators. For the low-order delay process, the optimal PI calculation method that can be used for parameter self-tuning is given. The simulation results show that the proposed PI control system has satisfactory robustness and integral performance for different time-delay processes, and has great reference to other process controller parameters optimization.