Linear quadratic optimal control of continuous-time LTI systems with random input gains

Wei Chen; Jianying Zheng; Li Qiu

doi:10.1109/ICInfA.2012.6246813

Linear quadratic optimal control of continuous-time LTI systems with random input gains

Wei Chen^*
, Jianying Zheng
, Li Qiu

^*Corresponding author for this work

Department of Electronic and Computer Engineering

Research output: Chapter in Book/Conference Proceeding/Report › Conference Paper published in a book › peer-review

7 Citations (Scopus)

Abstract

In this paper, the linear quadratic (LQ) optimal control of continuous-time linear time-invariant (LTI) systems with random input gains is studied. One main novelty of this work is the use of channel/controller co-design framework which bridges and integrates the design of the channels and controller. The co-design is carried out by the twist of channel resource allocation, i.e., the channel capacities can be allocated by the control designer subject to a constraint on the overall channel capacity. With this additional design freedom, under certain conditions, a nice analytic solution is obtained for the LQ optimal control problem with random input gains. The optimal control law is a linear state feedback.

Original language	English
Title of host publication	2012 IEEE International Conference on Information and Automation, ICIA 2012
Pages	241-246
Number of pages	6
DOIs	https://doi.org/10.1109/ICInfA.2012.6246813
Publication status	Published - 2012
Event	2012 IEEE International Conference on Information and Automation, ICIA 2012 - Shenyang, China Duration: 6 Jun 2012 → 8 Jun 2012

Publication series

Name	2012 IEEE International Conference on Information and Automation, ICIA 2012

Conference

Conference	2012 IEEE International Conference on Information and Automation, ICIA 2012
Country/Territory	China
City	Shenyang
Period	6/06/12 → 8/06/12

Keywords

channel resource allocation
channel/controller co-design
LQ optimal control
Networked control system (NCS)
stochastic systems

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10.1109/ICInfA.2012.6246813

Cite this

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title = "Linear quadratic optimal control of continuous-time LTI systems with random input gains",

abstract = "In this paper, the linear quadratic (LQ) optimal control of continuous-time linear time-invariant (LTI) systems with random input gains is studied. One main novelty of this work is the use of channel/controller co-design framework which bridges and integrates the design of the channels and controller. The co-design is carried out by the twist of channel resource allocation, i.e., the channel capacities can be allocated by the control designer subject to a constraint on the overall channel capacity. With this additional design freedom, under certain conditions, a nice analytic solution is obtained for the LQ optimal control problem with random input gains. The optimal control law is a linear state feedback.",

keywords = "channel resource allocation, channel/controller co-design, LQ optimal control, Networked control system (NCS), stochastic systems",

author = "Wei Chen and Jianying Zheng and Li Qiu",

year = "2012",

doi = "10.1109/ICInfA.2012.6246813",

language = "English",

isbn = "9781467322386",

series = "2012 IEEE International Conference on Information and Automation, ICIA 2012",

pages = "241--246",

booktitle = "2012 IEEE International Conference on Information and Automation, ICIA 2012",

note = "2012 IEEE International Conference on Information and Automation, ICIA 2012 ; Conference date: 06-06-2012 Through 08-06-2012",

}

Chen, W, Zheng, J & Qiu, L 2012, Linear quadratic optimal control of continuous-time LTI systems with random input gains. in 2012 IEEE International Conference on Information and Automation, ICIA 2012., 6246813, 2012 IEEE International Conference on Information and Automation, ICIA 2012, pp. 241-246, 2012 IEEE International Conference on Information and Automation, ICIA 2012, Shenyang, China, 6/06/12. https://doi.org/10.1109/ICInfA.2012.6246813

Linear quadratic optimal control of continuous-time LTI systems with random input gains. / Chen, Wei; Zheng, Jianying; Qiu, Li.
2012 IEEE International Conference on Information and Automation, ICIA 2012. 2012. p. 241-246 6246813 (2012 IEEE International Conference on Information and Automation, ICIA 2012).

Research output: Chapter in Book/Conference Proceeding/Report › Conference Paper published in a book › peer-review

TY - GEN

T1 - Linear quadratic optimal control of continuous-time LTI systems with random input gains

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AU - Zheng, Jianying

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PY - 2012

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N2 - In this paper, the linear quadratic (LQ) optimal control of continuous-time linear time-invariant (LTI) systems with random input gains is studied. One main novelty of this work is the use of channel/controller co-design framework which bridges and integrates the design of the channels and controller. The co-design is carried out by the twist of channel resource allocation, i.e., the channel capacities can be allocated by the control designer subject to a constraint on the overall channel capacity. With this additional design freedom, under certain conditions, a nice analytic solution is obtained for the LQ optimal control problem with random input gains. The optimal control law is a linear state feedback.

AB - In this paper, the linear quadratic (LQ) optimal control of continuous-time linear time-invariant (LTI) systems with random input gains is studied. One main novelty of this work is the use of channel/controller co-design framework which bridges and integrates the design of the channels and controller. The co-design is carried out by the twist of channel resource allocation, i.e., the channel capacities can be allocated by the control designer subject to a constraint on the overall channel capacity. With this additional design freedom, under certain conditions, a nice analytic solution is obtained for the LQ optimal control problem with random input gains. The optimal control law is a linear state feedback.

KW - channel resource allocation

KW - channel/controller co-design

KW - LQ optimal control

KW - Networked control system (NCS)

KW - stochastic systems

UR - https://www.scopus.com/pages/publications/84866626950

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DO - 10.1109/ICInfA.2012.6246813

M3 - Conference Paper published in a book

AN - SCOPUS:84866626950

SN - 9781467322386

T3 - 2012 IEEE International Conference on Information and Automation, ICIA 2012

SP - 241

EP - 246

BT - 2012 IEEE International Conference on Information and Automation, ICIA 2012

T2 - 2012 IEEE International Conference on Information and Automation, ICIA 2012

Y2 - 6 June 2012 through 8 June 2012

ER -

Linear quadratic optimal control of continuous-time LTI systems with random input gains

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