Unified Approximate Tracking Control of Linear Systems with Unacceptable Zeros

Abstract

This paper addresses the problem of modeling and control of linear continuous-time systems with unacceptable zeros in a sense that they are on the right-half plane of the S-domain (non-minimum phase) or cause the controller to have undesired behavior. The unified approximation of output tracking control using output redefinition will result in approximate output tracking, yet insuring stable internal dynamics of the system. Four different types of output redefinition are presented in a unified way and shown to satisfy different forms of control objectives through a simulation example of small-signal model of boost converter.