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Linear Quadratic Performance Criteria for Cascade Control

Gattami, Ather LU and Rantzer, Anders LU (2005) 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05 In Decision and Control, 2005 and 2005 European Control Conference. CDC-ECC '05 p.3632-3637
Abstract
In this paper we consider the problem of linear quadratic regulator (LQR) performance for cascade control structures of series coupled systems. The necessary and sufficient condition for the linear quadratic performance of a cascade control structure to achieve the same performance as any given centralized LQR is obtained. The cascade problem could be seen as a special case of the network control problem with a special network structure. The results presented show that decentralized control is possible with some natural fundamental limitations in this particular case. Also, a constructive proof is given for the inverse LQR problem that can be used to calculate the decentralized LQR from a given centralized one.
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
in
Decision and Control, 2005 and 2005 European Control Conference. CDC-ECC '05
pages
3632 - 3637
publisher
IEEE--Institute of Electrical and Electronics Engineers Inc.
conference name
44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05
external identifiers
  • WOS:000240653703089
  • Scopus:33847183140
ISBN
0-7803-9567-0
DOI
10.1109/CDC.2005.1582726
language
English
LU publication?
yes
id
55f97ecb-41d4-4354-9f72-385f7f1f3f43 (old id 535779)
alternative location
http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=1582726
date added to LUP
2007-09-18 08:38:13
date last changed
2016-10-13 04:47:22
@misc{55f97ecb-41d4-4354-9f72-385f7f1f3f43,
  abstract     = {In this paper we consider the problem of linear quadratic regulator (LQR) performance for cascade control structures of series coupled systems. The necessary and sufficient condition for the linear quadratic performance of a cascade control structure to achieve the same performance as any given centralized LQR is obtained. The cascade problem could be seen as a special case of the network control problem with a special network structure. The results presented show that decentralized control is possible with some natural fundamental limitations in this particular case. Also, a constructive proof is given for the inverse LQR problem that can be used to calculate the decentralized LQR from a given centralized one.},
  author       = {Gattami, Ather and Rantzer, Anders},
  isbn         = {0-7803-9567-0},
  language     = {eng},
  pages        = {3632--3637},
  publisher    = {ARRAY(0xabc0780)},
  series       = {Decision and Control, 2005 and 2005 European Control Conference. CDC-ECC '05},
  title        = {Linear Quadratic Performance Criteria for Cascade Control},
  url          = {http://dx.doi.org/10.1109/CDC.2005.1582726},
  year         = {2005},
}