D-stabilizing controller design for linear interval discrete time-delay systems
线性区间离散时滞系统的区域镇定

The D-stabilizing problem of linear discrete time-delay systems is addressed. Based on the nonsingular state transformation, a sufficient condition of D-stabilizability is derived for interval systems. This condition guarantees all poles of the resulting closed-loop system to be placed in a specified circular region. The result can be reduced to the form of LMIs; the solution of which can be obtained by using the LMI toolbox. An illustrative example shows that the proposed method can be used to check the D-stabilizability and to design the D-stabilizing controller for linear interval discrete time-delay systems.