高维多变量系统集中式PI控制器设计

Centralized PI control for high dimensional multivariable systems

针对高维多变量系统,基于等价传递函数理论研究全矩阵结构的PI控制器设计问题.同时考虑对象的稳态增益和响应速度两个因素,提出一种新的等价传递函数参数化方法;利用等价传递函数与被控过程的传递函数逆阵之间的关系,推导出等价传递函数的解析通式;在此基础上,结合经典的PID控制技术进行多变量系统集中式PI控制方法研究.最后通过典型工业过程实例,验证了所提出设计方法的简单性和有效性.

The full matrix controller design problems are investigated for high dimensional multivariable processes based on the equivalent transfer function（ETF）. By employing the steady gain and response time, a new parameterization method of ETF is proposed. By exploiting the relationship between the ETF and the inverse of open-loop transfer function, an analytical expression of ETF is derived. Based on the obtained ETF, the centralized controller is designed by utilizing the existing PID tuning rules. Several typical industrial process examples are employed to demonstrate the effectiveness and simplicity of the design method.