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 | IFAC Proceedings Volumes (IFAC-PapersOnline) |
| Pages | 98-103 |
| Number of pages | 6 |
| Volume | 9 |
| Edition | PART 1 |
| Publication status | Published - 2007 |
| 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 |
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 |
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Keywords
- Almost strictly positive real (ASPR)
- Auto-tuning
- Expanded PID control
- MIMO linear system
ASJC Scopus subject areas
- Control and Systems Engineering
Cite this
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 proceeding › Conference contribution
}
TY - GEN
T1 - Auto-tuning method of expanded PID control for MIMO systems
AU - Tamura, Kenichi
AU - Ohmori, Hiromitsu
PY - 2007
Y1 - 2007
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
VL - 9
SP - 98
EP - 103
BT - IFAC Proceedings Volumes (IFAC-PapersOnline)
ER -