Minimum energy control for single-input linear digital systems in z-domain

In this paper, we discuss minimum energy control in the z-domain for a single-input linear time-invariant discrete-time system. The dynamic controller with constant parameters is induced from the closed-loop expression or the open-loop expression with time-varying parameters in the t-domain, by using the property that the state settles to zero within a finite time. Since the constant parameters do not depend on the initial state of the system, it becomes more useful to analyze, synthesize and implement the feedback system. Furthermore, the stability and the finite-time settling property of the feedback system are guaranteed.