A graphical design method for nonovershooting and monotone nondecreasing step responses of a SISO linear system

Shir-Kuan Lin, Chang Jia Fangt

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This paper presents a method to find the set of the coefficients of the transfer functions that ensure nonovershooting and monotone nondecreasing step responses. It is known that such a set is convex. In this paper, we further show that it is a closed convex set. Then, we use the convexity property of the step responses of a linear SISO system to develop a graphical method for the closed convex regions of nonovershooting and monotone nondecreasing step responses. This graphical approach is useful to aid the design of a nonovershooting or monotone nondecreasing step response controller. A servo system is used as an application example. It is found that a conventional PID feedback controller hardly ensures a nonovershooting step response. A modified PID controller is then proposed. A simulation example demonstrates the design procedure and verifies the theory.

Original languageEnglish
Title of host publication2001 European Control Conference, ECC 2001
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages2688-2693
Number of pages6
ISBN (Electronic)9783952417362
DOIs
StatePublished - 1 Jan 2001
Event6th European Control Conference, ECC 2001 - Porto, Portugal
Duration: 4 Sep 20017 Sep 2001

Publication series

Name2001 European Control Conference, ECC 2001

Conference

Conference6th European Control Conference, ECC 2001
CountryPortugal
CityPorto
Period4/09/017/09/01

Keywords

  • Linear System
  • Nonovershooting Step Responses
  • PID Control

Fingerprint Dive into the research topics of 'A graphical design method for nonovershooting and monotone nondecreasing step responses of a SISO linear system'. Together they form a unique fingerprint.

  • Cite this

    Lin, S-K., & Fangt, C. J. (2001). A graphical design method for nonovershooting and monotone nondecreasing step responses of a SISO linear system. In 2001 European Control Conference, ECC 2001 (pp. 2688-2693). [7076336] (2001 European Control Conference, ECC 2001). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.23919/ECC.2001.7076336