A new algorithm to control dynamic stability of higher-order systems

Nazim Mir-Nasiri, Md Hazrat Ali

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

1 Citation (Scopus)

Abstract

Maintaining dynamic stability of the system is not an easy task especially for the systems with higher-order characteristic polynomials. For closed-loop control systems implementation of proper PID gains can be a tool to keep dynamic system within its stability range. However, selection of proper controller gains is not an easy task either. The paper describes new and effective method how to identify the stability boundaries of higher-order dynamic systems in terms of boundaries of closed-loop characteristic polynomial coefficients. Provided the precise boundaries of that coefficients are defined they can be easily manipulated by means of appropriate PID gain values to keep those coefficients within the stability range. The new intuitively discovered algorithm is an effective yet universal technique to identify stability boundaries of any higher-order dynamic system. The paper describes the derivation of a single analytical expression separately for the systems with order from three to five. It becomes a necessary and sufficient condition for such systems to remain at its stability boundaries, i.e., provides marginal stability. Once adopted these expressions can be used as a guide for selection of PID controller gains and thus keep the system within its stability range.

Original languageEnglish
Title of host publicationProceedings - 8th IEEE International Conference on Control System, Computing and Engineering, ICCSCE 2018
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages53-58
Number of pages6
ISBN (Electronic)9781538663240
DOIs
Publication statusPublished - Apr 8 2019
Event8th IEEE International Conference on Control System, Computing and Engineering, ICCSCE 2018 - Penang, Malaysia
Duration: Nov 23 2018Nov 25 2018

Publication series

NameProceedings - 8th IEEE International Conference on Control System, Computing and Engineering, ICCSCE 2018

Conference

Conference8th IEEE International Conference on Control System, Computing and Engineering, ICCSCE 2018
CountryMalaysia
CityPenang
Period11/23/1811/25/18

Keywords

  • Characteristic polynomial
  • higher-order dynamics systems
  • PID gains
  • Stability boundaries

ASJC Scopus subject areas

  • Bioengineering
  • Computer Science Applications
  • Mechanical Engineering
  • Control and Optimization
  • Modelling and Simulation

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