Abstract
This paper is concerned with the decentralized H∞ controller synthesis problem for discrete-time linear time-invariant (LTI) systems. In spite of intensive research efforts over the last several decades, this problem is believed to be non-convex and still outstanding in general. Therefore most existing approaches resort to heuristic optimization algorithms that do not allow us to draw any definite conclusion on the quality of the designed controllers. To get around this difficult situation, in this paper, we propose convex optimization procedures for computing lower bounds of the H ∞ performance that is achievable via decentralized LTI controllers of any order. In particular, we show that sharpened lower bounds can be obtained by making good use of structures of the LTI plant typically observed in the decentralized control setting. We illustrate via numerical examples that these lower bounds are indeed useful to ensure the good quality of decentralized controllers designed by a heuristic optimization.
| Original language | English |
|---|---|
| Title of host publication | Proceedings of the 2010 American Control Conference, ACC 2010 |
| Pages | 5602-5607 |
| Number of pages | 6 |
| Publication status | Published - Oct 15 2010 |
| Externally published | Yes |
| Event | 2010 American Control Conference, ACC 2010 - Baltimore, MD, United States Duration: Jun 30 2010 → Jul 2 2010 |
Publication series
| Name | Proceedings of the 2010 American Control Conference, ACC 2010 |
|---|
Conference
| Conference | 2010 American Control Conference, ACC 2010 |
|---|---|
| Country | United States |
| City | Baltimore, MD |
| Period | 6/30/10 → 7/2/10 |
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All Science Journal Classification (ASJC) codes
- Control and Systems Engineering
Cite this
Decentralized control for discrete-time LTI systems : Lower bound analysis of H∞ performance achievable via LTI controllers. / Ebihara, Yoshio; Sebe, Noboru.
Proceedings of the 2010 American Control Conference, ACC 2010. 2010. p. 5602-5607 5531032 (Proceedings of the 2010 American Control Conference, ACC 2010).Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
}
TY - GEN
T1 - Decentralized control for discrete-time LTI systems
T2 - Lower bound analysis of H∞ performance achievable via LTI controllers
AU - Ebihara, Yoshio
AU - Sebe, Noboru
PY - 2010/10/15
Y1 - 2010/10/15
N2 - This paper is concerned with the decentralized H∞ controller synthesis problem for discrete-time linear time-invariant (LTI) systems. In spite of intensive research efforts over the last several decades, this problem is believed to be non-convex and still outstanding in general. Therefore most existing approaches resort to heuristic optimization algorithms that do not allow us to draw any definite conclusion on the quality of the designed controllers. To get around this difficult situation, in this paper, we propose convex optimization procedures for computing lower bounds of the H ∞ performance that is achievable via decentralized LTI controllers of any order. In particular, we show that sharpened lower bounds can be obtained by making good use of structures of the LTI plant typically observed in the decentralized control setting. We illustrate via numerical examples that these lower bounds are indeed useful to ensure the good quality of decentralized controllers designed by a heuristic optimization.
AB - This paper is concerned with the decentralized H∞ controller synthesis problem for discrete-time linear time-invariant (LTI) systems. In spite of intensive research efforts over the last several decades, this problem is believed to be non-convex and still outstanding in general. Therefore most existing approaches resort to heuristic optimization algorithms that do not allow us to draw any definite conclusion on the quality of the designed controllers. To get around this difficult situation, in this paper, we propose convex optimization procedures for computing lower bounds of the H ∞ performance that is achievable via decentralized LTI controllers of any order. In particular, we show that sharpened lower bounds can be obtained by making good use of structures of the LTI plant typically observed in the decentralized control setting. We illustrate via numerical examples that these lower bounds are indeed useful to ensure the good quality of decentralized controllers designed by a heuristic optimization.
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UR - http://www.scopus.com/inward/citedby.url?scp=77957790375&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:77957790375
SN - 9781424474264
T3 - Proceedings of the 2010 American Control Conference, ACC 2010
SP - 5602
EP - 5607
BT - Proceedings of the 2010 American Control Conference, ACC 2010
ER -