Optimal control of linear discrete-time systems with quantization effects

Weizhou Su; Jie Chen; Minyue Fu; Tian Qi; Yilin Wu

doi:10.1109/CCDC.2014.6852609

Optimal control of linear discrete-time systems with quantization effects

Weizhou Su^*, Jie Chen, Minyue Fu, Tian Qi, Yilin Wu

^*Corresponding author for this work

City University of Hong Kong

Research output: Chapters, Conference Papers, Creative and Literary Works › RGC 32 - Refereed conference paper (with host publication) › peer-review

2 Citations (Scopus)

Abstract

This paper studies optimal control designs for networked linear discrete-time systems with quantization effects and/or fading channel. The quantization errors and/or fading channels are modeled as multiplicative noises. The H₂ optimal control in mean-square sense is formulated. The necessary and sufficient condition to the existence of the mean-square stabilizing solution to a modified algebraic Riccati equation (MARE) is presented. The optimal H₂ control via state feedback for the systems is designed by using the solution to the MARE. It is a nature extension for the result in standard optimal discrete-time H₂ state feedback design. It is shown that this optimal state feedback design problem is eigenvalue problem (EVP) and the optimal design algorithm is developed. © 2014 IEEE.

Original language	English
Title of host publication	26th Chinese Control and Decision Conference, CCDC 2014
Publisher	IEEE Computer Society
Pages	2582-2587
ISBN (Print)	9781479937066
DOIs	https://doi.org/10.1109/CCDC.2014.6852609
Publication status	Published - 2014
Event	26th Chinese Control and Decision Conference, CCDC 2014 - Changsha, China Duration: 31 May 2014 → 2 Jun 2014

Conference

Conference	26th Chinese Control and Decision Conference, CCDC 2014
Place	China
City	Changsha
Period	31/05/14 → 2/06/14

Research Keywords

Algebraic Riccati equation
Multiplicative noise
Optimal control
Quantization error

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10.1109/CCDC.2014.6852609

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@inproceedings{3e07899c2ba849c0bba874617656f532,

title = "Optimal control of linear discrete-time systems with quantization effects",

abstract = "This paper studies optimal control designs for networked linear discrete-time systems with quantization effects and/or fading channel. The quantization errors and/or fading channels are modeled as multiplicative noises. The H2 optimal control in mean-square sense is formulated. The necessary and sufficient condition to the existence of the mean-square stabilizing solution to a modified algebraic Riccati equation (MARE) is presented. The optimal H2 control via state feedback for the systems is designed by using the solution to the MARE. It is a nature extension for the result in standard optimal discrete-time H2 state feedback design. It is shown that this optimal state feedback design problem is eigenvalue problem (EVP) and the optimal design algorithm is developed. {\textcopyright} 2014 IEEE.",

keywords = "Algebraic Riccati equation, Multiplicative noise, Optimal control, Quantization error",

author = "Weizhou Su and Jie Chen and Minyue Fu and Tian Qi and Yilin Wu",

year = "2014",

doi = "10.1109/CCDC.2014.6852609",

language = "English",

isbn = "9781479937066",

pages = "2582--2587",

booktitle = "26th Chinese Control and Decision Conference, CCDC 2014",

publisher = "IEEE Computer Society",

address = "United States",

note = "26th Chinese Control and Decision Conference, CCDC 2014 ; Conference date: 31-05-2014 Through 02-06-2014",

}

Optimal control of linear discrete-time systems with quantization effects. / Su, Weizhou; Chen, Jie; Fu, Minyue et al.
26th Chinese Control and Decision Conference, CCDC 2014. IEEE Computer Society, 2014. p. 2582-2587 6852609.

Research output: Chapters, Conference Papers, Creative and Literary Works › RGC 32 - Refereed conference paper (with host publication) › peer-review

TY - GEN

T1 - Optimal control of linear discrete-time systems with quantization effects

AU - Su, Weizhou

AU - Chen, Jie

AU - Fu, Minyue

AU - Qi, Tian

AU - Wu, Yilin

PY - 2014

Y1 - 2014

N2 - This paper studies optimal control designs for networked linear discrete-time systems with quantization effects and/or fading channel. The quantization errors and/or fading channels are modeled as multiplicative noises. The H2 optimal control in mean-square sense is formulated. The necessary and sufficient condition to the existence of the mean-square stabilizing solution to a modified algebraic Riccati equation (MARE) is presented. The optimal H2 control via state feedback for the systems is designed by using the solution to the MARE. It is a nature extension for the result in standard optimal discrete-time H2 state feedback design. It is shown that this optimal state feedback design problem is eigenvalue problem (EVP) and the optimal design algorithm is developed. © 2014 IEEE.

AB - This paper studies optimal control designs for networked linear discrete-time systems with quantization effects and/or fading channel. The quantization errors and/or fading channels are modeled as multiplicative noises. The H2 optimal control in mean-square sense is formulated. The necessary and sufficient condition to the existence of the mean-square stabilizing solution to a modified algebraic Riccati equation (MARE) is presented. The optimal H2 control via state feedback for the systems is designed by using the solution to the MARE. It is a nature extension for the result in standard optimal discrete-time H2 state feedback design. It is shown that this optimal state feedback design problem is eigenvalue problem (EVP) and the optimal design algorithm is developed. © 2014 IEEE.

KW - Algebraic Riccati equation

KW - Multiplicative noise

KW - Optimal control

KW - Quantization error

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U2 - 10.1109/CCDC.2014.6852609

DO - 10.1109/CCDC.2014.6852609

M3 - RGC 32 - Refereed conference paper (with host publication)

SN - 9781479937066

SP - 2582

EP - 2587

BT - 26th Chinese Control and Decision Conference, CCDC 2014

PB - IEEE Computer Society

T2 - 26th Chinese Control and Decision Conference, CCDC 2014

Y2 - 31 May 2014 through 2 June 2014

ER -

Optimal control of linear discrete-time systems with quantization effects

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