关于工业过程控制性能优化算法研究

摘要

为进一步改善工业过程控制中的时滞动态多变量系统的性能,针对时滞动态多变量系统稳定性分析中变量参数较多问题,提出一种采用改善有理分式逼近的Pade近似优化算法.对时滞状态空间方程可以通过复数域延迟矩阵和有理Pade型函数来描述.通过最小化最小方差估计误差来得到多输入多输出时滞系统的有理近似,以确保极点落在左半区域提高系统稳定性.相比传统控制器采用的Pade近似控制方法,多元矩阵Pade型逼近更加适用于参数变量较多的复杂时滞动态系统并且可以在更大程度上减少不稳定性和超调,同时保留快速响应特性.通过调整纯滞后环节中矩阵Ar的参数进行仿真对比分析研究,结果证明上述方法可行有效,提高了控制系统的性能.%To further improve the performances of delay dynamic multi-variable system in industrial process control,in view of large time-delays of multi-input multi-output (MIMO) dynamical systems stability analysis of variable parameters much issues,the new algorithm of Pade appoximation with the improved rational fraction appoximationg is proposed.Time delay terms of the state space equations were described by delay matrix in the complex domain and approximated by rational matrix Pade-type functions.The minimum variance estimation error was minimized to obtain rational approximation of MIMO systems to guarantee the poles located in the left half plane to improve system stability.By contrast,multivariable matrix Pade-type approximation was better for complex time-delays dynamical systems with more variable parameters,and can largely reduce the instability and the overshoot,but meanwhile preserve the fast-response property.By adjusting the parameters of matrix Ar in pure lagging analysis of the simulation,the simulation results show that the proposed method is feasible and effective.