Design of anti-windup gains for Markovian jump systems subject to parametric uncertainty and actuator saturation

Yunliang Wei; Wei Xing Zheng

doi:10.1109/CCA.2015.7320806

Design of anti-windup gains for Markovian jump systems subject to parametric uncertainty and actuator saturation

Yunliang Wei, Wei Xing Zheng

Research output: Chapter in Book / Conference Paper › Conference Paper › peer-review

3 Citations (Scopus)

Abstract

The problem of design of anti-windup gains for Markovian jump systems subject to parametric uncertainty and actuator saturation is addressed in this paper. The system under study is assumed to have partially unknown transition rates. A set of anti-windup compensation gains are designed for dynamic output feedback controllers that have been designed in advance for stabilization in the absence of control saturation. It is shown that the redesigned controllers can achieve stabilization of the system regardless the presence or absence of actuator saturation. A convex optimization method is developed to obtain the largest possible estimation of the domain of attraction for the closed-loop system. Simulation results are presented to illustrate the effectiveness of the proposed method.

Original language	English
Title of host publication	Proceedings of the 2015 IEEE Conference on Control and Applications (CCA 2015), September 21-23, 2015, Sydney, Australia
Publisher	IEEE
Pages	1392-1397
Number of pages	6
ISBN (Print)	9781479977871
DOIs	https://doi.org/10.1109/CCA.2015.7320806
Publication status	Published - 2015
Event	IEEE Conference on Control Applications - Duration: 21 Sept 2015 → …

Conference

Conference	IEEE Conference on Control Applications
Period	21/09/15 → …

Keywords

Markovian jump systems
actuators
closed-loop systems
robust control

Access to Document

10.1109/CCA.2015.7320806

Cite this

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title = "Design of anti-windup gains for Markovian jump systems subject to parametric uncertainty and actuator saturation",

abstract = "The problem of design of anti-windup gains for Markovian jump systems subject to parametric uncertainty and actuator saturation is addressed in this paper. The system under study is assumed to have partially unknown transition rates. A set of anti-windup compensation gains are designed for dynamic output feedback controllers that have been designed in advance for stabilization in the absence of control saturation. It is shown that the redesigned controllers can achieve stabilization of the system regardless the presence or absence of actuator saturation. A convex optimization method is developed to obtain the largest possible estimation of the domain of attraction for the closed-loop system. Simulation results are presented to illustrate the effectiveness of the proposed method.",

keywords = "Markovian jump systems, actuators, closed-loop systems, robust control",

author = "Yunliang Wei and Zheng, {Wei Xing}",

year = "2015",

doi = "10.1109/CCA.2015.7320806",

language = "English",

isbn = "9781479977871",

pages = "1392--1397",

booktitle = "Proceedings of the 2015 IEEE Conference on Control and Applications (CCA 2015), September 21-23, 2015, Sydney, Australia",

publisher = "IEEE",

note = "IEEE Conference on Control Applications ; Conference date: 21-09-2015",

}

Wei, Y & Zheng, WX 2015, Design of anti-windup gains for Markovian jump systems subject to parametric uncertainty and actuator saturation. in Proceedings of the 2015 IEEE Conference on Control and Applications (CCA 2015), September 21-23, 2015, Sydney, Australia. IEEE, pp. 1392-1397, IEEE Conference on Control Applications, 21/09/15. https://doi.org/10.1109/CCA.2015.7320806

Design of anti-windup gains for Markovian jump systems subject to parametric uncertainty and actuator saturation. / Wei, Yunliang; Zheng, Wei Xing.
Proceedings of the 2015 IEEE Conference on Control and Applications (CCA 2015), September 21-23, 2015, Sydney, Australia. IEEE, 2015. p. 1392-1397.

Research output: Chapter in Book / Conference Paper › Conference Paper › peer-review

TY - GEN

T1 - Design of anti-windup gains for Markovian jump systems subject to parametric uncertainty and actuator saturation

AU - Wei, Yunliang

AU - Zheng, Wei Xing

PY - 2015

Y1 - 2015

N2 - The problem of design of anti-windup gains for Markovian jump systems subject to parametric uncertainty and actuator saturation is addressed in this paper. The system under study is assumed to have partially unknown transition rates. A set of anti-windup compensation gains are designed for dynamic output feedback controllers that have been designed in advance for stabilization in the absence of control saturation. It is shown that the redesigned controllers can achieve stabilization of the system regardless the presence or absence of actuator saturation. A convex optimization method is developed to obtain the largest possible estimation of the domain of attraction for the closed-loop system. Simulation results are presented to illustrate the effectiveness of the proposed method.

AB - The problem of design of anti-windup gains for Markovian jump systems subject to parametric uncertainty and actuator saturation is addressed in this paper. The system under study is assumed to have partially unknown transition rates. A set of anti-windup compensation gains are designed for dynamic output feedback controllers that have been designed in advance for stabilization in the absence of control saturation. It is shown that the redesigned controllers can achieve stabilization of the system regardless the presence or absence of actuator saturation. A convex optimization method is developed to obtain the largest possible estimation of the domain of attraction for the closed-loop system. Simulation results are presented to illustrate the effectiveness of the proposed method.

KW - Markovian jump systems

KW - actuators

KW - closed-loop systems

KW - robust control

UR - http://handle.uws.edu.au:8081/1959.7/uws:32624

UR - http://www.msc2015.org/index.php

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DO - 10.1109/CCA.2015.7320806

M3 - Conference Paper

SN - 9781479977871

SP - 1392

EP - 1397

BT - Proceedings of the 2015 IEEE Conference on Control and Applications (CCA 2015), September 21-23, 2015, Sydney, Australia

PB - IEEE

T2 - IEEE Conference on Control Applications

Y2 - 21 September 2015

ER -

Design of anti-windup gains for Markovian jump systems subject to parametric uncertainty and actuator saturation

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