多变量数字鲁棒最优控制器的设计及应用

针对线性多变量离散控制系统,给出一种新的鲁棒最优控制器的设计方法．该方法提出了多变量系统的行特征函数的设计新思想,实现等价系统的动态解耦,使闭环控制系统的传递函数矩阵为正规矩阵,达到鲁棒H∞最优稳定;进一步,通过对等价解耦控制系统应用l∞最优控制方法,又能使原闭环控制系统获得最优时域指标．通过在某纸机3种定量和水分控制系统中的在线应用,验证了数字控制器的最优性与鲁棒性．

Design and application of multivariable digital robust optimal controllers

For linear multivariable discrete-time control systems, a new design approach to robust optimal controllers is developed in this paper. By presenting a new design concept to select row characteristic functions for a multi-variable system, a robust decomposition method is built up to guarantee the normalization of the closed-loop transfer function matrix. The H-infinity robust stability and the optimal time domain indices for the closed-loop system are then achieved simultaneously by utilizing the 1-infinity optimal control approach in its decoupling equivalent system. Finally, optimization and robustness of this digital controller are verified by an on-line application in a paper-making control system for three different indices of quantity and moisture.