A new data-driven tuning method of a linearly parametrized controller is proposed for stable multi-input multi-output plants. A criterion that evaluates the difference between responses of the reference model and those of the feedback system is employed for tracking control. Because the criterion is nonconvex with respect to controller parameters, its second order Taylor expansion, which is convex, is used for parameter tuning. To represent the approximated criterion using plant responses instead of a plant mathematical model, it is proposed to use the responses of all entries of the plant for a test function, typically a step function. The parameter value that minimizes the approximated data-based criterion is obtained adopting the linear least-squares method. The proposed tuning method is compared with virtual reference feedback tuning and its extended methods for multi-input multi-output plants.

针对稳定的多输入多输出设备，提出了一种新的线性参数化控制器的数据驱动整定方法。评估参考模型的响应与反馈系统的响应之间的差异的标准用于跟踪控制。因为标准对于控制器参数是非凸的，它的二阶泰勒展开是凸的，用于参数调整。为了使用工厂响应而不是工厂数学模型来表示近似标准，建议将工厂的所有条目的响应用于测试函数，通常是阶跃函数。采用线性最小二乘法获得最小化基于数据的近似准则的参数值。将所提出的调谐方法与虚拟参考反馈调谐及其用于多输入多输出设备的扩展方法进行比较。