多输入多输出复杂时滞系统的预测函数控制及其鲁棒D稳定性条件

针对多输入多输出被控过程同时存在状态滞后和控制输入滞后问题,利用预测函数控制算法对预测模型没有特殊要求和在线计算量小的特点,基于预测函数控制设计机理得到系统的控制律.在标称情况下,反馈控制律可表示为无记忆反馈和带记忆反馈的叠加形式.在假设不含时滞标称系统解析的条件下,应用最大模定理和矩阵谱半径性质,给出存在状态滞后和控制输入滞后结构参数摄动不确定系统鲁棒D稳定的充分条件.数值实验和仿真实验验证了所给方法的有效性.

Predictive functional control and robust D-stability condition for MIMO systems with multiple time-delay

By taking advantages of little online computation and loose requirement for the predictive model of the predictive functional control algorithm,a predictive algorithm is proposed for multi-input and multi-output systems with state delays and input delays.In the nominal case,a state feedback control law is obtained in the form of the sum of the memoryless and memory state feedback.Under the assumption that the linear delay-free nominal system is analytic,by utilizing the maximum modulus principle and spectral radius of matrices,a sufficient condition is given to guarantee D-stability of the system while there exist structure parameter perturbations.The numerical example and simulations are provided to prove the efficiency of the presented method.