$H_2$ optimal controllers with measurement feedback for discrete-time systems - flexibility in closed-loop pole placement

A. Saberi; P. Sannuti; A.A. Stoorvogel

doi:10.1109/CDC.1996.573127

$H_2$ optimal controllers with measurement feedback for discrete-time systems - flexibility in closed-loop pole placement

A. Saberi, P. Sannuti, A.A. Stoorvogel

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

Abstract

For a general H/sub 2/ optimal control problem, first all H/sub 2/ optimal measurement feedback controllers are characterized and parameterized. The H/sub 2/ optimal control problem with strictly proper controllers and the H/sub 2/ optimal control problem with proper controllers are essentially different and hence clearly delineated. Next, estimator based H/sub 2/ optimal controllers are characterized and parameterized. Also, systematic methods of designing them are presented. Since in general there exist many H/sub 2/ optimal measurement feedback controllers, utilizing such flexibility and freedom, one can place the closed-loop poles at more desirable locations while still preserving H/sub 2/ optimality. All the design algorithms developed here are easily computer implementable.

Original language	English
Title of host publication	Proceedings 35th IEEE Conference on Decision and Control (Kobe, Japan, December 11-13, 2006)
Publisher	Institute of Electrical and Electronics Engineers
Pages	2330-2335
Number of pages	6
ISBN (Print)	0-7803-3590-2
DOIs	https://doi.org/10.1109/CDC.1996.573127
Publication status	Published - 1996

Access to Document

10.1109/CDC.1996.573127

Cite this

Saberi, A., Sannuti, P., & Stoorvogel, A. A. (1996). $H_2$ optimal controllers with measurement feedback for discrete-time systems - flexibility in closed-loop pole placement. In Proceedings 35th IEEE Conference on Decision and Control (Kobe, Japan, December 11-13, 2006) (pp. 2330-2335). Article 573127 Institute of Electrical and Electronics Engineers. https://doi.org/10.1109/CDC.1996.573127

@inproceedings{6e1706b7e78e42ffa33a9cc8fd924e6f,

title = "$H_2$ optimal controllers with measurement feedback for discrete-time systems - flexibility in closed-loop pole placement",

abstract = "For a general H/sub 2/ optimal control problem, first all H/sub 2/ optimal measurement feedback controllers are characterized and parameterized. The H/sub 2/ optimal control problem with strictly proper controllers and the H/sub 2/ optimal control problem with proper controllers are essentially different and hence clearly delineated. Next, estimator based H/sub 2/ optimal controllers are characterized and parameterized. Also, systematic methods of designing them are presented. Since in general there exist many H/sub 2/ optimal measurement feedback controllers, utilizing such flexibility and freedom, one can place the closed-loop poles at more desirable locations while still preserving H/sub 2/ optimality. All the design algorithms developed here are easily computer implementable.",

author = "A. Saberi and P. Sannuti and A.A. Stoorvogel",

year = "1996",

doi = "10.1109/CDC.1996.573127",

language = "English",

isbn = "0-7803-3590-2",

pages = "2330--2335",

booktitle = "Proceedings 35th IEEE Conference on Decision and Control (Kobe, Japan, December 11-13, 2006)",

publisher = "Institute of Electrical and Electronics Engineers",

address = "United States",

}

Saberi, A, Sannuti, P & Stoorvogel, AA 1996, $H_2$ optimal controllers with measurement feedback for discrete-time systems - flexibility in closed-loop pole placement. in Proceedings 35th IEEE Conference on Decision and Control (Kobe, Japan, December 11-13, 2006)., 573127, Institute of Electrical and Electronics Engineers, pp. 2330-2335. https://doi.org/10.1109/CDC.1996.573127

$H_2$ optimal controllers with measurement feedback for discrete-time systems - flexibility in closed-loop pole placement. / Saberi, A.; Sannuti, P.; Stoorvogel, A.A.
Proceedings 35th IEEE Conference on Decision and Control (Kobe, Japan, December 11-13, 2006). Institute of Electrical and Electronics Engineers, 1996. p. 2330-2335 573127.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

TY - GEN

T1 - $H_2$ optimal controllers with measurement feedback for discrete-time systems - flexibility in closed-loop pole placement

AU - Saberi, A.

AU - Sannuti, P.

AU - Stoorvogel, A.A.

PY - 1996

Y1 - 1996

N2 - For a general H/sub 2/ optimal control problem, first all H/sub 2/ optimal measurement feedback controllers are characterized and parameterized. The H/sub 2/ optimal control problem with strictly proper controllers and the H/sub 2/ optimal control problem with proper controllers are essentially different and hence clearly delineated. Next, estimator based H/sub 2/ optimal controllers are characterized and parameterized. Also, systematic methods of designing them are presented. Since in general there exist many H/sub 2/ optimal measurement feedback controllers, utilizing such flexibility and freedom, one can place the closed-loop poles at more desirable locations while still preserving H/sub 2/ optimality. All the design algorithms developed here are easily computer implementable.

AB - For a general H/sub 2/ optimal control problem, first all H/sub 2/ optimal measurement feedback controllers are characterized and parameterized. The H/sub 2/ optimal control problem with strictly proper controllers and the H/sub 2/ optimal control problem with proper controllers are essentially different and hence clearly delineated. Next, estimator based H/sub 2/ optimal controllers are characterized and parameterized. Also, systematic methods of designing them are presented. Since in general there exist many H/sub 2/ optimal measurement feedback controllers, utilizing such flexibility and freedom, one can place the closed-loop poles at more desirable locations while still preserving H/sub 2/ optimality. All the design algorithms developed here are easily computer implementable.

U2 - 10.1109/CDC.1996.573127

DO - 10.1109/CDC.1996.573127

M3 - Conference contribution

SN - 0-7803-3590-2

SP - 2330

EP - 2335

BT - Proceedings 35th IEEE Conference on Decision and Control (Kobe, Japan, December 11-13, 2006)

PB - Institute of Electrical and Electronics Engineers

ER -

$H_2$ optimal controllers with measurement feedback for discrete-time systems - flexibility in closed-loop pole placement

Abstract

Access to Document

Fingerprint

Cite this