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

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Cite this

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 ed., pp. 98-103). (IFAC Proceedings Volumes (IFAC-PapersOnline); Vol. 9, No. PART 1).

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.

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