基于输出方差限制的广义多变量控制系统性能评价

研究具有线性时变扰动的多变量控制系统性能评价的方法.通过将时变扰动分为三类定常扰动, 进而构造一个加权的性能指标,权值矩阵与不同扰动类型和优先级相对应.在指定合理的输出方差后, 运用对角关联矩阵方法明确计算出广义多变量系统闭环输出方差的上下限值.经过ITAE (Integral of time-weighted absolute value of the error) 寻优得到最 小输出方差下的控制器参数,并给出可实现的最优控制器模型.仿真实例证明了该方法计算的简便性和有效性.

Generalized Multivariable Control System Performance Assessment Based on Output Variance Limit

This paper focuses on the multivariable control system performance assessment method under linear time-varying disturbance. Through dividing time varying disturbance into three types of constant disturbance, a weighted performance index is constructed and a weight matrix corresponds to different disturbance types and priorities. After specifying reasonable output variance, the upper and lower bounds of the generalized multivariable system closed-loop output variance could be obtained through calculation of diagonal interactors. Controller parameters with minimum variance can be achieved and an optimal control model is obtained according to integral of time-weighted absolute value of the error (ITAE) optimization. Simulation results show the simplicity and availability of the proposed computing method.