Abstract
In this paper, we give a characterization of all retrofit controllers for control of large-scale network systems. A retrofit controller is a local plug-in controller such that, rather than an entire network system model, only a model of the subsystem of interest is required for controller design. The retrofit controller guarantees the entire system stability for any (norm-unbounded) variations of neighboring subsystems, other than the subsystem of interest, as long as the network of the subsystem and neighboring subsystems is stable. Although a design procedure of a retrofit controller has been already proposed, how to characterize all retrofit controllers still remains an open question. We consider two cases where the interconnection signal is available and unavailable as a feedback signal. It is revealed that, in the case where the interconnection signal is available, all retrofit controllers are composed of a localizing compensator that cancels out the input-to-output map from the interconnection signal to the measurement signal, and a local controller that locally stabilizes the subsystem. It is also found that, in the case where the interconnection signal is unavailable, the effect from the measurement signal to the control input must be cancelled out in the controller. Finally, the effectiveness of retrofit control is verified through a numerical example of a benchmark model representing the bulk power system in the eastern half of Japan.
| Original language | English |
|---|---|
| Title of host publication | 2018 Annual American Control Conference, ACC 2018 |
| Publisher | Institute of Electrical and Electronics Engineers Inc. |
| Pages | 6194-6199 |
| Number of pages | 6 |
| Volume | 2018-June |
| ISBN (Print) | 9781538654286 |
| DOIs | |
| Publication status | Published - 2018 Aug 9 |
| Event | 2018 Annual American Control Conference, ACC 2018 - Milwauke, United States Duration: 2018 Jun 27 → 2018 Jun 29 |
Other
| Other | 2018 Annual American Control Conference, ACC 2018 |
|---|---|
| Country | United States |
| City | Milwauke |
| Period | 18/6/27 → 18/6/29 |
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ASJC Scopus subject areas
- Electrical and Electronic Engineering
Cite this
A Characterization of All Retrofit Controllers. / Sasahara, Hampei; Ishizaki, Takayuki; Inoue, Masaki; Sadamoto, Tomonori; Irnura, Jun Ichi.
2018 Annual American Control Conference, ACC 2018. Vol. 2018-June Institute of Electrical and Electronics Engineers Inc., 2018. p. 6194-6199 8430982.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
}
TY - GEN
T1 - A Characterization of All Retrofit Controllers
AU - Sasahara, Hampei
AU - Ishizaki, Takayuki
AU - Inoue, Masaki
AU - Sadamoto, Tomonori
AU - Irnura, Jun Ichi
PY - 2018/8/9
Y1 - 2018/8/9
N2 - In this paper, we give a characterization of all retrofit controllers for control of large-scale network systems. A retrofit controller is a local plug-in controller such that, rather than an entire network system model, only a model of the subsystem of interest is required for controller design. The retrofit controller guarantees the entire system stability for any (norm-unbounded) variations of neighboring subsystems, other than the subsystem of interest, as long as the network of the subsystem and neighboring subsystems is stable. Although a design procedure of a retrofit controller has been already proposed, how to characterize all retrofit controllers still remains an open question. We consider two cases where the interconnection signal is available and unavailable as a feedback signal. It is revealed that, in the case where the interconnection signal is available, all retrofit controllers are composed of a localizing compensator that cancels out the input-to-output map from the interconnection signal to the measurement signal, and a local controller that locally stabilizes the subsystem. It is also found that, in the case where the interconnection signal is unavailable, the effect from the measurement signal to the control input must be cancelled out in the controller. Finally, the effectiveness of retrofit control is verified through a numerical example of a benchmark model representing the bulk power system in the eastern half of Japan.
AB - In this paper, we give a characterization of all retrofit controllers for control of large-scale network systems. A retrofit controller is a local plug-in controller such that, rather than an entire network system model, only a model of the subsystem of interest is required for controller design. The retrofit controller guarantees the entire system stability for any (norm-unbounded) variations of neighboring subsystems, other than the subsystem of interest, as long as the network of the subsystem and neighboring subsystems is stable. Although a design procedure of a retrofit controller has been already proposed, how to characterize all retrofit controllers still remains an open question. We consider two cases where the interconnection signal is available and unavailable as a feedback signal. It is revealed that, in the case where the interconnection signal is available, all retrofit controllers are composed of a localizing compensator that cancels out the input-to-output map from the interconnection signal to the measurement signal, and a local controller that locally stabilizes the subsystem. It is also found that, in the case where the interconnection signal is unavailable, the effect from the measurement signal to the control input must be cancelled out in the controller. Finally, the effectiveness of retrofit control is verified through a numerical example of a benchmark model representing the bulk power system in the eastern half of Japan.
UR - http://www.scopus.com/inward/record.url?scp=85052571375&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85052571375&partnerID=8YFLogxK
U2 - 10.23919/ACC.2018.8430982
DO - 10.23919/ACC.2018.8430982
M3 - Conference contribution
AN - SCOPUS:85052571375
SN - 9781538654286
VL - 2018-June
SP - 6194
EP - 6199
BT - 2018 Annual American Control Conference, ACC 2018
PB - Institute of Electrical and Electronics Engineers Inc.
ER -