Auto-tuning method of expanded PID control for MIMO systems

Kenichi Tamura, Hiromitsu Ohmori

Research output: Chapter in Book/Report/Conference proceedingConference 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 languageEnglish
Title of host publicationIFAC Proceedings Volumes (IFAC-PapersOnline)
Pages98-103
Number of pages6
Volume9
EditionPART 1
Publication statusPublished - 2007
Event9th IFAC Workshop "Adaptation and Learning in Control and Signal Processing", ALCOSP'2007 - Saint Petersburg, Russian Federation
Duration: 2007 Aug 292007 Aug 31

Other

Other9th IFAC Workshop "Adaptation and Learning in Control and Signal Processing", ALCOSP'2007
CountryRussian Federation
CitySaint Petersburg
Period07/8/2907/8/31

Fingerprint

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

Keywords

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

ASJC Scopus subject areas

  • Control and Systems Engineering

Cite this

Tamura, K., & Ohmori, H. (2007). Auto-tuning method of expanded PID control for MIMO systems. In IFAC Proceedings Volumes (IFAC-PapersOnline) (PART 1 ed., Vol. 9, pp. 98-103)

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

IFAC Proceedings Volumes (IFAC-PapersOnline). Vol. 9 PART 1. ed. 2007. p. 98-103.

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

Tamura, K & Ohmori, H 2007, Auto-tuning method of expanded PID control for MIMO systems. in IFAC Proceedings Volumes (IFAC-PapersOnline). PART 1 edn, 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.
Tamura K, Ohmori H. Auto-tuning method of expanded PID control for MIMO systems. In IFAC Proceedings Volumes (IFAC-PapersOnline). PART 1 ed. Vol. 9. 2007. p. 98-103
Tamura, Kenichi ; Ohmori, Hiromitsu. / Auto-tuning method of expanded PID control for MIMO systems. IFAC Proceedings Volumes (IFAC-PapersOnline). Vol. 9 PART 1. ed. 2007. pp. 98-103
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