Linear quadratic optimal sampled-data control of linear continuous switched systems with stochastic disturbance

Lu ZHANG; Feng LIU; Yongduan SONG

Linear quadratic optimal sampled-data control of linear continuous switched systems with stochastic disturbance

Lu ZHANG^*
, Feng LIU
, Yongduan SONG

^*Corresponding author for this work

Research output: Book Chapters | Papers in Conference Proceedings › Conference paper (refereed) › Research › peer-review

1 Citation (Scopus)

Abstract

This paper studies the linear quadratic (LQ) optimal control problem of sampled-data based control of linear continuous switched systems with stochastic disturbance. The system under consideration is assumed to experience model switching consistently with known switching process. When the sampled time ΔT is small, there is little difference between conventional whole process state based LQ control and sampled data based LQ control. It is shown that the upper bound of error is 0(ΔT2). Validation and verification of the established result are conducted through cruise control of train system. © 2012 Chinese Assoc of Automati.

Original language	English
Title of host publication	Proceedings of the 31st Chinese Control Conference, CCC 2012
Publisher	IEEE
Pages	2209-2213
Number of pages	5
ISBN (Electronic)	9789881563811
ISBN (Print)	9781467325813
Publication status	Published - Dec 2012
Externally published	Yes
Event	31st Chinese Control Conference, CCC 2012 - Hefei, China Duration: 25 Jul 2012 → 27 Jul 2012

Conference

Conference	31st Chinese Control Conference, CCC 2012
Country/Territory	China
City	Hefei
Period	25/07/12 → 27/07/12

Keywords

quadratic performance
sampled control
switched systems
time-varying parameters

Cite this

@inproceedings{a3b5cc4c8f344be3b46e8fc323061904,

title = "Linear quadratic optimal sampled-data control of linear continuous switched systems with stochastic disturbance",

abstract = "This paper studies the linear quadratic (LQ) optimal control problem of sampled-data based control of linear continuous switched systems with stochastic disturbance. The system under consideration is assumed to experience model switching consistently with known switching process. When the sampled time ΔT is small, there is little difference between conventional whole process state based LQ control and sampled data based LQ control. It is shown that the upper bound of error is 0(ΔT2). Validation and verification of the established result are conducted through cruise control of train system. {\textcopyright} 2012 Chinese Assoc of Automati.",

keywords = "quadratic performance, sampled control, switched systems, time-varying parameters",

author = "Lu ZHANG and Feng LIU and Yongduan SONG",

year = "2012",

month = dec,

language = "English",

isbn = "9781467325813",

pages = "2209--2213",

booktitle = "Proceedings of the 31st Chinese Control Conference, CCC 2012",

publisher = "IEEE",

note = "31st Chinese Control Conference, CCC 2012 ; Conference date: 25-07-2012 Through 27-07-2012",

}

Linear quadratic optimal sampled-data control of linear continuous switched systems with stochastic disturbance. / ZHANG, Lu; LIU, Feng; SONG, Yongduan.
Proceedings of the 31st Chinese Control Conference, CCC 2012. IEEE, 2012. p. 2209-2213 6390290.

Research output: Book Chapters | Papers in Conference Proceedings › Conference paper (refereed) › Research › peer-review

TY - GEN

T1 - Linear quadratic optimal sampled-data control of linear continuous switched systems with stochastic disturbance

AU - ZHANG, Lu

AU - LIU, Feng

AU - SONG, Yongduan

PY - 2012/12

Y1 - 2012/12

N2 - This paper studies the linear quadratic (LQ) optimal control problem of sampled-data based control of linear continuous switched systems with stochastic disturbance. The system under consideration is assumed to experience model switching consistently with known switching process. When the sampled time ΔT is small, there is little difference between conventional whole process state based LQ control and sampled data based LQ control. It is shown that the upper bound of error is 0(ΔT2). Validation and verification of the established result are conducted through cruise control of train system. © 2012 Chinese Assoc of Automati.

AB - This paper studies the linear quadratic (LQ) optimal control problem of sampled-data based control of linear continuous switched systems with stochastic disturbance. The system under consideration is assumed to experience model switching consistently with known switching process. When the sampled time ΔT is small, there is little difference between conventional whole process state based LQ control and sampled data based LQ control. It is shown that the upper bound of error is 0(ΔT2). Validation and verification of the established result are conducted through cruise control of train system. © 2012 Chinese Assoc of Automati.

KW - quadratic performance

KW - sampled control

KW - switched systems

KW - time-varying parameters

UR - https://www.scopus.com/pages/publications/84873564353

M3 - Conference paper (refereed)

AN - SCOPUS:84873564353

SN - 9781467325813

SP - 2209

EP - 2213

BT - Proceedings of the 31st Chinese Control Conference, CCC 2012

PB - IEEE

T2 - 31st Chinese Control Conference, CCC 2012

Y2 - 25 July 2012 through 27 July 2012

ER -

Linear quadratic optimal sampled-data control of linear continuous switched systems with stochastic disturbance

Abstract

Conference

Keywords

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