Auto-tuning method of expanded PID control for MIMO systems

Kenichi Tamura; Hiromitsu Ohmori

Auto-tuning method of expanded PID control for MIMO systems

Kenichi Tamura, Hiromitsu Ohmori

Department of System Design Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

15 Citations (Scopus)

Abstract

This paper is concerned with auto-tuning of the expanded PID control for 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 language	English
Title of host publication	9th IFAC Workshop "Adaptation and Learning in Control and Signal Processing", ALCOSP'2007 - Final Program and Abstracts
Pages	98-103
Number of pages	6
Edition	PART 1
Publication status	Published - 2007 Dec 1
Event	9th IFAC Workshop "Adaptation and Learning in Control and Signal Processing", ALCOSP'2007 - Saint Petersburg, Russian Federation Duration: 2007 Aug 29 → 2007 Aug 31

Publication series

Name	IFAC Proceedings Volumes (IFAC-PapersOnline)
Number	PART 1
Volume	9
ISSN (Print)	1474-6670

Other

Other	9th IFAC Workshop "Adaptation and Learning in Control and Signal Processing", ALCOSP'2007
Country	Russian Federation
City	Saint Petersburg
Period	07/8/29 → 07/8/31

Keywords

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

ASJC Scopus subject areas

Control and Systems Engineering

Fingerprint Dive into the research topics of 'Auto-tuning method of expanded PID control for MIMO systems'. Together they form a unique fingerprint.

Cite this

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

9th IFAC Workshop "Adaptation and Learning in Control and Signal Processing", ALCOSP'2007 - Final Program and Abstracts. PART 1. ed. 2007. p. 98-103 (IFAC Proceedings Volumes (IFAC-PapersOnline); Vol. 9, No. PART 1).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Tamura, K & Ohmori, H 2007, Auto-tuning method of expanded PID control for MIMO systems. in 9th IFAC Workshop "Adaptation and Learning in Control and Signal Processing", ALCOSP'2007 - Final Program and Abstracts. PART 1 edn, IFAC Proceedings Volumes (IFAC-PapersOnline), no. PART 1, vol. 9, pp. 98-103, 9th IFAC Workshop "Adaptation and Learning in Control and Signal Processing", ALCOSP'2007, Saint Petersburg, Russian Federation, 07/8/29.

@inproceedings{a1967b10ea1843409cbf92ffebaa014a,

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 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, Expanded PID control, MIMO linear system",

author = "Kenichi Tamura and Hiromitsu Ohmori",

year = "2007",

month = dec,

day = "1",

language = "English",

isbn = "9783902661296",

series = "IFAC Proceedings Volumes (IFAC-PapersOnline)",

number = "PART 1",

pages = "98--103",

booktitle = "9th IFAC Workshop {"}Adaptation and Learning in Control and Signal Processing{"}, ALCOSP'2007 - Final Program and Abstracts",

edition = "PART 1",

note = "9th IFAC Workshop {"}Adaptation and Learning in Control and Signal Processing{"}, ALCOSP'2007 ; Conference date: 29-08-2007 Through 31-08-2007",

}

TY - GEN

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

AU - Tamura, Kenichi

AU - Ohmori, Hiromitsu

PY - 2007/12/1

Y1 - 2007/12/1

N2 - This paper is concerned with auto-tuning of the expanded PID control for 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 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 - Expanded PID control

KW - MIMO linear system

UR - http://www.scopus.com/inward/record.url?scp=79961081846&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=79961081846&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:79961081846

SN - 9783902661296

T3 - IFAC Proceedings Volumes (IFAC-PapersOnline)

SP - 98

EP - 103

BT - 9th IFAC Workshop "Adaptation and Learning in Control and Signal Processing", ALCOSP'2007 - Final Program and Abstracts

T2 - 9th IFAC Workshop "Adaptation and Learning in Control and Signal Processing", ALCOSP'2007

Y2 - 29 August 2007 through 31 August 2007

ER -