Adaptive PID control for perfect tracking problem of MIMO systems

Kenichi Tamura, Hiromitsu Ohmori

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

5 Citations (Scopus)

Abstract

This paper is concerned with an adaptive PID control for the output model tracking ploblem of MIMO systems {A, B, C}. We propose the new adaptive PID control that has the constant matrices gain and the time-varying gain matrices. The proposed design method is derived from satisfying Lyapunov's stability theorem under some assumptions that the controlled system's zero-dynamics is asymptotically stable, some rank conditions concerning the controlled system and the reference model matrices and CB = 0 CAB > 0 or CB > 0. In our method, the asymptotical perfect output model tracking can be guaranteed even if there exist unknown system parameters and unknown step disturbances. Finally, the effectiveness of the proposed method is confirmed with the simulation result.

Original languageEnglish
Title of host publicationProceedings of the SICE Annual Conference
Pages446-453
Number of pages8
DOIs
Publication statusPublished - 2007
EventSICE(Society of Instrument and Control Engineers)Annual Conference, SICE 2007 - Takamatsu, Japan
Duration: 2007 Sep 172007 Sep 20

Other

OtherSICE(Society of Instrument and Control Engineers)Annual Conference, SICE 2007
CountryJapan
CityTakamatsu
Period07/9/1707/9/20

Fingerprint

Three term control systems
MIMO systems

Keywords

  • Adaptive control
  • Auto-tuning
  • MIMO linear system
  • PID control
  • Tracking problem

ASJC Scopus subject areas

  • Engineering(all)

Cite this

Tamura, K., & Ohmori, H. (2007). Adaptive PID control for perfect tracking problem of MIMO systems. In Proceedings of the SICE Annual Conference (pp. 446-453). [4421025] https://doi.org/10.1109/SICE.2007.4421025

Adaptive PID control for perfect tracking problem of MIMO systems. / Tamura, Kenichi; Ohmori, Hiromitsu.

Proceedings of the SICE Annual Conference. 2007. p. 446-453 4421025.

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

Tamura, K & Ohmori, H 2007, Adaptive PID control for perfect tracking problem of MIMO systems. in Proceedings of the SICE Annual Conference., 4421025, pp. 446-453, SICE(Society of Instrument and Control Engineers)Annual Conference, SICE 2007, Takamatsu, Japan, 07/9/17. https://doi.org/10.1109/SICE.2007.4421025
Tamura K, Ohmori H. Adaptive PID control for perfect tracking problem of MIMO systems. In Proceedings of the SICE Annual Conference. 2007. p. 446-453. 4421025 https://doi.org/10.1109/SICE.2007.4421025
Tamura, Kenichi ; Ohmori, Hiromitsu. / Adaptive PID control for perfect tracking problem of MIMO systems. Proceedings of the SICE Annual Conference. 2007. pp. 446-453
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