Study on the Corresponding Relationship Between Dynamics System and System Structural Configurations—Develop a Universal Analysis Method for Eliminating the RHP-Zeros of System

Abstract

The purpose of this paper is to use bond graphs to retain system structures, linking dynamic models and the transfer functions of control systems, and develop a universal analysis method for eliminating the right-half-plane zeros (RHP-zeros) of systems. Although previous literature has investigated RHP-zero elimination, their findings were only applicable to specific systems. When such a system is modified, only a trial-and-error method can be applied to eliminate the RHP-zeros of systems. The main feature of the proposed method involves the analysis of the causal paths contained in bond graphs. Analysis results then serve as a guideline for RHP-zero elimination, which can involve processes including modification of model structures or changes to paths. This method improves the system to get a better performance, instead of using the trial-and-error methods. Finally, a boost converter with an RHP-zero is applied to various examples of RHP-zero elimination, verifying that the proposed methodology can be used to eliminate the RHP-zeros of systems without the need of a trial-and-error process.