Optimal Tracking for MIMO Systems via Data Based System Representation

The system representation in data space, which was proposed recently, leads to a new control strategy for a linear time-invariant plant. The control input is computed directly from the input-output data of the plant without using any traditional mathematical model, such as transfer function or state space equation. In this paper, a dead-beat tracking for arbitrary reference signals is considered for multi-input multi-output systems, and the control input which minimizes a quadratic performance index is computed in that framework.