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

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

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

Fingerprint

Higher Order
Dynamic Systems
Dynamical systems
Characteristic polynomial
Coefficient
Range of data
Polynomials
Closed-loop Control
Closed loop control systems
PID Controller
Controllers
Closed-loop
Closed-loop System
Control System
Controller
Necessary Conditions
Sufficient Conditions

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

Cite this

Mir-Nasiri, N., & Ali, M. H. (2019). A new algorithm to control dynamic stability of higher-order systems. In Proceedings - 8th IEEE International Conference on Control System, Computing and Engineering, ICCSCE 2018 (pp. 53-58). [8684988] (Proceedings - 8th IEEE International Conference on Control System, Computing and Engineering, ICCSCE 2018). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ICCSCE.2018.8684988

A new algorithm to control dynamic stability of higher-order systems. / Mir-Nasiri, Nazim; Ali, Md Hazrat.

Proceedings - 8th IEEE International Conference on Control System, Computing and Engineering, ICCSCE 2018. Institute of Electrical and Electronics Engineers Inc., 2019. p. 53-58 8684988 (Proceedings - 8th IEEE International Conference on Control System, Computing and Engineering, ICCSCE 2018).

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

Mir-Nasiri, N & Ali, MH 2019, A new algorithm to control dynamic stability of higher-order systems. in Proceedings - 8th IEEE International Conference on Control System, Computing and Engineering, ICCSCE 2018., 8684988, Proceedings - 8th IEEE International Conference on Control System, Computing and Engineering, ICCSCE 2018, Institute of Electrical and Electronics Engineers Inc., pp. 53-58, 8th IEEE International Conference on Control System, Computing and Engineering, ICCSCE 2018, Penang, Malaysia, 11/23/18. https://doi.org/10.1109/ICCSCE.2018.8684988
Mir-Nasiri N, Ali MH. A new algorithm to control dynamic stability of higher-order systems. In Proceedings - 8th IEEE International Conference on Control System, Computing and Engineering, ICCSCE 2018. Institute of Electrical and Electronics Engineers Inc. 2019. p. 53-58. 8684988. (Proceedings - 8th IEEE International Conference on Control System, Computing and Engineering, ICCSCE 2018). https://doi.org/10.1109/ICCSCE.2018.8684988
Mir-Nasiri, Nazim ; Ali, Md Hazrat. / A new algorithm to control dynamic stability of higher-order systems. Proceedings - 8th IEEE International Conference on Control System, Computing and Engineering, ICCSCE 2018. Institute of Electrical and Electronics Engineers Inc., 2019. pp. 53-58 (Proceedings - 8th IEEE International Conference on Control System, Computing and Engineering, ICCSCE 2018).
@inproceedings{ec151f979b9640f9aca92039659a495b,
title = "A new algorithm to control dynamic stability of higher-order systems",
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.",
keywords = "Characteristic polynomial, higher-order dynamics systems, PID gains, Stability boundaries",
author = "Nazim Mir-Nasiri and Ali, {Md Hazrat}",
year = "2019",
month = "4",
day = "8",
doi = "10.1109/ICCSCE.2018.8684988",
language = "English",
series = "Proceedings - 8th IEEE International Conference on Control System, Computing and Engineering, ICCSCE 2018",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "53--58",
booktitle = "Proceedings - 8th IEEE International Conference on Control System, Computing and Engineering, ICCSCE 2018",
address = "United States",

}

TY - GEN

T1 - A new algorithm to control dynamic stability of higher-order systems

AU - Mir-Nasiri, Nazim

AU - Ali, Md Hazrat

PY - 2019/4/8

Y1 - 2019/4/8

N2 - 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.

AB - 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.

KW - Characteristic polynomial

KW - higher-order dynamics systems

KW - PID gains

KW - Stability boundaries

UR - http://www.scopus.com/inward/record.url?scp=85065014204&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85065014204&partnerID=8YFLogxK

U2 - 10.1109/ICCSCE.2018.8684988

DO - 10.1109/ICCSCE.2018.8684988

M3 - Conference contribution

AN - SCOPUS:85065014204

T3 - Proceedings - 8th IEEE International Conference on Control System, Computing and Engineering, ICCSCE 2018

SP - 53

EP - 58

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

PB - Institute of Electrical and Electronics Engineers Inc.

ER -