This paper presents an application of semi-discretization method to stability analysis of feedback controls of linear systems with time delay. The method develops a mapping of the system response in a finite dimensional state space. Minimization of the largest absolute value of the eigenvalues of the mapping leads to optimal control gains. Experimental validation is presented to demonstrate the method. We have found that the semi-discretization method provides accurate stability boundaries and performance contours in the parametric space of control gains, and offers an alternative to the classic design approaches of feedback controls.

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