Quantization by ΔΣ modulators for anti-windup control

被引：0

作者：

Yoshida S. ^{[1
]}

Ohno S. ^{[1
]}

机构：

[1] Graduate School of Engineering, Hiroshima University, 1-3-2 Kagamiyama, Higashi-Hiroshima, Hiroshima

来源：

IEEJ Transactions on Electronics, Information and Systems | 2021年 / 141卷 / 03期

关键词：

Anti-windup; Input saturation; Quantization; ΔΣ; modulator;

D O I：

10.1541/ieejeiss.141.408

中图分类号：

学科分类号：

摘要：

This paper considers a control system that has saturation and quantization of its control input. A system with saturation may be suffered from windup. Then, quantization generates quantization errors, which may deteriorate control performance. In this paper, the windup is mitigated by an anti-windup controller, whereas the effect of the quantization errors is reduced by a ΔΣ modulator. To keep the stability obtained by the anti-windup controller, the ΔΣ modulator is tuned off when the control signal is saturated. The ΔΣ modulator is designed to minimize the H2 norm of the transfer function from the quantization error to the system output. Numerical examples are provided to demonstrate the performance of our proposed system. © 2021 The Institute of Electrical Engineers of Japan.

引用

页码：408 / 416

页数：8

共 21 条

[1]

46, 2, pp. 1-7, (2002)

[2]

Galeani S., Tarbouriech S., Turner M., Zaccarian L., A Tutorial on Modern Anti-windup Design, European Journal of Control, 15, 3-4, pp. 418-440, (2009)

[3]

Ohta Y., Constrained Control, IEICE Fundamentals Review, 10, 2, pp. 113-121, (2016)

[4]

Takaba K., Analysis and Synthesis of Anti-Windup Control System Based on Youla Parametrization, Transactions of the Society of Instrument and Control Engineers, 38, 10, pp. 868-875, (2002)

[5]

Azuma S., Morita R., Minami Y., Sugie T., A Software Tool for Control-Oriented Dynamic Quantizer Design and Experimental Evaluation, Transactions of the Institute of System, Control and Information Engineers, 21, 12, pp. 408-416, (2008)

[6]

Schreier R., Temes G.C., Understanding Delta-Sigma Data Converters, (2004)

[7]

Azuma S., Sugie T., Optimal Dynamic Quantizers for Discrete-valued Input Control, Automatica, 44, 2, pp. 396-406, (2008)

[8]

Azuma S., Sugie T., Synthesis of Optimal Dynamic Quantizers for Discrete-valued Input Control, IEEE Transactions on Automatic Control, 53, 9, pp. 2064-2075, (2008)

[9]

Ohno S., Ishihara Y., Nagahara M., Min-Max Design of Feedback Quantizers without Overloading, IEEE Transactions on Circuits and Systems I: Regular Papers, 65, 4, pp. 1395-1405, (2018)

[10]

Konaka E., Stability of Networked Control System with Dynamic Quantizer and Data-driven Zero-order Hold, The transactions of the Institute of Electrical Engineers of Japan. C, 129, 1, pp. 46-52, (2009)

← 1 2 3 →