A study on control design method using parallel compensation technique for multiple-input/multiple-output systems

In the present paper, we study on a control design using parallel compensation technique for multiple-input/multiple-output systems. Parallel compensation technique is applied to many control design problems such as simple adaptive control, robust control systems using phase information and the parameterization of all proper stabilizing controllers for minimum phase strictly proper systems. The parallel compensation technique is used so as to expand applicable plant of simple adaptive control and robust control systems using phase information. Recently, the relationship between controllers that is obtained using parallel compensation technique and the parameterization of all stabilizing controllers was considered. However, the relationship between controllers that is obtained using parallel compensation technique and the parameterization of all stabilizing controllers for multiple-input/multiple-output systems has never considered. In the present paper, we consider this problem and give the necessary and sufficient condition that the class of controllers that is obtained using parallel compensation technique equal to that of controllers for the multiple-input/multiple-output systems.