[KSCI] Korea Science Citation Index Service

A Study on Integral Equalities Related to a Laplace Transformable Function and its Applications

Kwon, Byung-Moon (Guidance and Control Department, Korea Aero Space Research Institute)
Ryu, Hee-Seob (Ubiquitous Computing Lab., Samsung Advanced Institute of Technology)
Kwon, Oh-Kyu (School of Electrical and Computer Engineering, Inha University)

Publication Information

International Journal of Control, Automation, and Systems / v.1, no.1, 2003 , pp. 76-82 More about this Journal

Abstract

This paper establishes some integral equalities formulated by zeros located in the convergence region of a Laplace transformable function. Using the definition of the Laplace transform, it shows that Laplace transformable functions have to satisfy the integral equalities in the time-domain, which can be applied to the understanding of the fundamental limitations on the control system represented by the transfer function. In the unity-feedback control scheme, another integral equality is derived on the output response of the system with open-loop poles located in the convergence region of the output function. From these integral equalities, two sufficient conditions related to undershoot and overshoot phenomena in the step response, respectively, are investigated.

Keywords

Laplace transform; fundamental limitation; unity-feedback control; undershoot; overshoot;

Citations & Related Records

Times Cited By SCOPUS : 0

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