Auto-tuning method of expanded PID control for MIMO systems

Kenichi Tamura, Hiromitsu Ohmori

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

9 Citations (Scopus)

Abstract

This paper is concerned with auto-tuning of the expanded PID control for general MIMO linear system (r-input, m-output, nth-order). The purpose is to give an adaptive law of time-varying PID parameter matrices so as to asymptotically stabilize the closed-loop system using expanded PID control for the regulation problem. The proposed method is derived from satisfying the Lyapunov's stability theorem. For its execution it is necessary for a certain hypothetical system to satisfy almost strictly positive real (ASPR) property. So we also propose the method letting its hypothetical system be ASPR. In our method, since it is not necessary for the controlled MIMO system to be stable and/or minimum phase, it is useful for large class systems. The effectiveness of the proposed method is confirmed with unstable MIMO system by a numerical simulations.

Original languageEnglish
Title of host publication2006 SICE-ICASE International Joint Conference
Pages3270-3275
Number of pages6
DOIs
Publication statusPublished - 2006
Event2006 SICE-ICASE International Joint Conference - Busan, Korea, Republic of
Duration: 2006 Oct 182006 Oct 21

Other

Other2006 SICE-ICASE International Joint Conference
CountryKorea, Republic of
CityBusan
Period06/10/1806/10/21

Fingerprint

Three term control systems
MIMO systems
Tuning
Closed loop systems
Linear systems
Computer simulation

Keywords

  • Almost strictly positive real (ASPR)
  • Auto-tuning
  • MIMO linear system
  • PID control

ASJC Scopus subject areas

  • Computer Science Applications
  • Control and Systems Engineering
  • Electrical and Electronic Engineering

Cite this

Tamura, K., & Ohmori, H. (2006). Auto-tuning method of expanded PID control for MIMO systems. In 2006 SICE-ICASE International Joint Conference (pp. 3270-3275). [4108321] https://doi.org/10.1109/SICE.2006.314919

Auto-tuning method of expanded PID control for MIMO systems. / Tamura, Kenichi; Ohmori, Hiromitsu.

2006 SICE-ICASE International Joint Conference. 2006. p. 3270-3275 4108321.

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

Tamura, K & Ohmori, H 2006, Auto-tuning method of expanded PID control for MIMO systems. in 2006 SICE-ICASE International Joint Conference., 4108321, pp. 3270-3275, 2006 SICE-ICASE International Joint Conference, Busan, Korea, Republic of, 06/10/18. https://doi.org/10.1109/SICE.2006.314919
Tamura K, Ohmori H. Auto-tuning method of expanded PID control for MIMO systems. In 2006 SICE-ICASE International Joint Conference. 2006. p. 3270-3275. 4108321 https://doi.org/10.1109/SICE.2006.314919
Tamura, Kenichi ; Ohmori, Hiromitsu. / Auto-tuning method of expanded PID control for MIMO systems. 2006 SICE-ICASE International Joint Conference. 2006. pp. 3270-3275
@inproceedings{18ca30e9a18840e78263be6f70caa9d4,
title = "Auto-tuning method of expanded PID control for MIMO systems",
abstract = "This paper is concerned with auto-tuning of the expanded PID control for general MIMO linear system (r-input, m-output, nth-order). The purpose is to give an adaptive law of time-varying PID parameter matrices so as to asymptotically stabilize the closed-loop system using expanded PID control for the regulation problem. The proposed method is derived from satisfying the Lyapunov's stability theorem. For its execution it is necessary for a certain hypothetical system to satisfy almost strictly positive real (ASPR) property. So we also propose the method letting its hypothetical system be ASPR. In our method, since it is not necessary for the controlled MIMO system to be stable and/or minimum phase, it is useful for large class systems. The effectiveness of the proposed method is confirmed with unstable MIMO system by a numerical simulations.",
keywords = "Almost strictly positive real (ASPR), Auto-tuning, MIMO linear system, PID control",
author = "Kenichi Tamura and Hiromitsu Ohmori",
year = "2006",
doi = "10.1109/SICE.2006.314919",
language = "English",
isbn = "8995003855",
pages = "3270--3275",
booktitle = "2006 SICE-ICASE International Joint Conference",

}

TY - GEN

T1 - Auto-tuning method of expanded PID control for MIMO systems

AU - Tamura, Kenichi

AU - Ohmori, Hiromitsu

PY - 2006

Y1 - 2006

N2 - This paper is concerned with auto-tuning of the expanded PID control for general MIMO linear system (r-input, m-output, nth-order). The purpose is to give an adaptive law of time-varying PID parameter matrices so as to asymptotically stabilize the closed-loop system using expanded PID control for the regulation problem. The proposed method is derived from satisfying the Lyapunov's stability theorem. For its execution it is necessary for a certain hypothetical system to satisfy almost strictly positive real (ASPR) property. So we also propose the method letting its hypothetical system be ASPR. In our method, since it is not necessary for the controlled MIMO system to be stable and/or minimum phase, it is useful for large class systems. The effectiveness of the proposed method is confirmed with unstable MIMO system by a numerical simulations.

AB - This paper is concerned with auto-tuning of the expanded PID control for general MIMO linear system (r-input, m-output, nth-order). The purpose is to give an adaptive law of time-varying PID parameter matrices so as to asymptotically stabilize the closed-loop system using expanded PID control for the regulation problem. The proposed method is derived from satisfying the Lyapunov's stability theorem. For its execution it is necessary for a certain hypothetical system to satisfy almost strictly positive real (ASPR) property. So we also propose the method letting its hypothetical system be ASPR. In our method, since it is not necessary for the controlled MIMO system to be stable and/or minimum phase, it is useful for large class systems. The effectiveness of the proposed method is confirmed with unstable MIMO system by a numerical simulations.

KW - Almost strictly positive real (ASPR)

KW - Auto-tuning

KW - MIMO linear system

KW - PID control

UR - http://www.scopus.com/inward/record.url?scp=34250707333&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=34250707333&partnerID=8YFLogxK

U2 - 10.1109/SICE.2006.314919

DO - 10.1109/SICE.2006.314919

M3 - Conference contribution

AN - SCOPUS:34250707333

SN - 8995003855

SN - 9788995003855

SP - 3270

EP - 3275

BT - 2006 SICE-ICASE International Joint Conference

ER -