Dynamic State Feedback Induced from Single-Input Fixed-Endpoint Optimal Regulator

Abstract

This paper discusses the fixed-endpoint optimal regulator for a single-input, linear, time-invariant, discrete-time system. The dynamic state feedback controller in the z-domain is induced from the fixed-endpoint optimal regulator which can be expressed by the state feedback with time-varying gains in the t-domain. It consists of the constant parameters which do not depend on the initial state of the system. The system is stable, and the state settles to zero within a finite time.