A study of rootlocus with applicationto the design of PD controllerfor linear control systems

Der-Cherng Liaw, Chao Wei Liu

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

In this paper, the break-away and break-in (BABI) condition used in root-locus approach for two-parameter linear control systemsis derived. The condition for one-parameter control system can also be obtained from those results, which agrees with the well-known results by using sensitivity function (e.g., Kuo, 2009). Based on those conditions, an algorithm is proposed to construct the PD control gains of linear control systems for meeting designed specifications of timing response. Compared with the conventional design by using root-contours, the proposed approach can give a guideline for choosing control gains instead of those obtained by trial-and-error from the root-contours scheme. An example of the 3rd-order linear systemwith PD control is also given to demonstrate the feasibility of the proposed design.

Original languageEnglish
Title of host publicationApplied Mechanics and Mechanical Engineering IV
Pages201-206
Number of pages6
DOIs
StatePublished - 19 Nov 2013
Event2013 4th International Conference on Applied Mechanics and Mechanical Engineering, ICAMME 2013 - , Singapore
Duration: 11 Oct 201312 Oct 2013

Publication series

NameApplied Mechanics and Materials
Volume459
ISSN (Print)1660-9336
ISSN (Electronic)1662-7482

Conference

Conference2013 4th International Conference on Applied Mechanics and Mechanical Engineering, ICAMME 2013
CountrySingapore
Period11/10/1312/10/13

Keywords

  • Break-away and break-in point
  • Multi-parameter controller design
  • Rootlocus

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