Adaptive PID control for perfect tracking problem of MIMO systems

Kenichi Tamura; Hiromitsu Ohmori

doi:10.1109/SICE.2007.4421025

Adaptive PID control for perfect tracking problem of MIMO systems

Kenichi Tamura, Hiromitsu Ohmori

Department of System Design Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference 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 language	English
Title of host publication	SICE Annual Conference, SICE 2007
Pages	446-453
Number of pages	8
DOIs	https://doi.org/10.1109/SICE.2007.4421025
Publication status	Published - 2007 Dec 1
Event	SICE(Society of Instrument and Control Engineers)Annual Conference, SICE 2007 - Takamatsu, Japan Duration: 2007 Sept 17 → 2007 Sept 20

Publication series

Name	Proceedings of the SICE Annual Conference

Other

Other	SICE(Society of Instrument and Control Engineers)Annual Conference, SICE 2007
Country/Territory	Japan
City	Takamatsu
Period	07/9/17 → 07/9/20

Keywords

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

ASJC Scopus subject areas

Control and Systems Engineering
Computer Science Applications
Electrical and Electronic Engineering

Access to Document

10.1109/SICE.2007.4421025

Cite this

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title = "Adaptive PID control for perfect tracking problem of MIMO systems",

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.",

keywords = "Adaptive control, Auto-tuning, MIMO linear system, PID control, Tracking problem",

author = "Kenichi Tamura and Hiromitsu Ohmori",

year = "2007",

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doi = "10.1109/SICE.2007.4421025",

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series = "Proceedings of the SICE Annual Conference",

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T1 - Adaptive PID control for perfect tracking problem of MIMO systems

AU - Tamura, Kenichi

AU - Ohmori, Hiromitsu

PY - 2007/12/1

Y1 - 2007/12/1

N2 - 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.

AB - 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.

KW - Adaptive control

KW - Auto-tuning

KW - MIMO linear system

KW - PID control

KW - Tracking problem

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T3 - Proceedings of the SICE Annual Conference

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Y2 - 17 September 2007 through 20 September 2007

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Adaptive PID control for perfect tracking problem of MIMO systems

Abstract

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Keywords

ASJC Scopus subject areas

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