多变量非方系统集中式PI控制器设计

Centralized PI control for multivariable non-square systems

针对工业过程中含有多时滞的高维多变量非方系统,基于等价传递函数理论,研究其集中式PI控制器设计问题.利用等价传递函数(ETF)与非方被控对象传递函数广义逆之间的关系,提出一种精度更高的ETF参数化算法,并推导出ETF模型的解析通式.所提出的ETF算法既避免了求广义逆的复杂运算,又提高了控制性能,且适用于高维非方系统.仿真实例验证了所提出的ETF算法的有效性和优越性.

The centralized PI controller based on the equivalent transfer function（ETF） for high dimensional multivariable non-square systems with delays is investigated. By exploiting the relationship between the ETF and Moore-Penrose pseudo inverse of the transfer function of the non-square systems, a higher accuracy analytical expression of the ETF is derived.The proposed ETF design approach not only avoids the complexities of pseudo inverse matrix, the improves the control performance, but also can be applicable to high dimensional non-square systems. Several examples are employed to illustrate the effectiveness and the advantages of the designed method over others.