Robust Passivity and Feedback Design for Nonlinear Stochastic Systems with Structural Uncertainty

Robust Passivity and Feedback Design for Nonlinear Stochastic Systems with Structural Uncertainty

This paper discusses the robust passivity and global stabilization problems for a class of uncertain nonlinear stochastic systems with structural uncertainties. A robust version of stochastic Kalman-Yakubovitch-Popov (KYP) lemma is established, which sustains the robust passivity of the system. More...

Full description

Bibliographic Details
Main Authors: Zhongwei Lin, Jizhen Liu, Yuguang Niu
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2013/460348
id doaj-215316fcaaf04bc983d1b3fcf0aa4490
record_format Article
spelling doaj-215316fcaaf04bc983d1b3fcf0aa44902020-11-24T23:17:52ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472013-01-01201310.1155/2013/460348460348Robust Passivity and Feedback Design for Nonlinear Stochastic Systems with Structural UncertaintyZhongwei Lin0Jizhen Liu1Yuguang Niu2State Key Laboratory of Alternate Electrical Power System with Renewable Energy Sources, School of Control and Computer Engineering, North China Electric Power University, Beijing 102206, ChinaState Key Laboratory of Alternate Electrical Power System with Renewable Energy Sources, School of Control and Computer Engineering, North China Electric Power University, Beijing 102206, ChinaState Key Laboratory of Alternate Electrical Power System with Renewable Energy Sources, School of Control and Computer Engineering, North China Electric Power University, Beijing 102206, ChinaThis paper discusses the robust passivity and global stabilization problems for a class of uncertain nonlinear stochastic systems with structural uncertainties. A robust version of stochastic Kalman-Yakubovitch-Popov (KYP) lemma is established, which sustains the robust passivity of the system. Moreover, a robust strongly minimum phase system is defined, based on which the uncertain nonlinear stochastic system can be feedback equivalent to a robust passive system. Following with the robust passivity theory, a global stabilizing control is designed, which guarantees that the closed-loop system is globally asymptotically stable in probability (GASP). A numerical example is presented to illustrate the effectiveness of our results.http://dx.doi.org/10.1155/2013/460348
collection DOAJ
language English
format Article
sources DOAJ
author Zhongwei Lin
Jizhen Liu
Yuguang Niu
spellingShingle Zhongwei Lin
Jizhen Liu
Yuguang Niu
Robust Passivity and Feedback Design for Nonlinear Stochastic Systems with Structural Uncertainty
Mathematical Problems in Engineering
author_facet Zhongwei Lin
Jizhen Liu
Yuguang Niu
author_sort Zhongwei Lin
title Robust Passivity and Feedback Design for Nonlinear Stochastic Systems with Structural Uncertainty
title_short Robust Passivity and Feedback Design for Nonlinear Stochastic Systems with Structural Uncertainty
title_full Robust Passivity and Feedback Design for Nonlinear Stochastic Systems with Structural Uncertainty
title_fullStr Robust Passivity and Feedback Design for Nonlinear Stochastic Systems with Structural Uncertainty
title_full_unstemmed Robust Passivity and Feedback Design for Nonlinear Stochastic Systems with Structural Uncertainty
title_sort robust passivity and feedback design for nonlinear stochastic systems with structural uncertainty
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2013-01-01
description This paper discusses the robust passivity and global stabilization problems for a class of uncertain nonlinear stochastic systems with structural uncertainties. A robust version of stochastic Kalman-Yakubovitch-Popov (KYP) lemma is established, which sustains the robust passivity of the system. Moreover, a robust strongly minimum phase system is defined, based on which the uncertain nonlinear stochastic system can be feedback equivalent to a robust passive system. Following with the robust passivity theory, a global stabilizing control is designed, which guarantees that the closed-loop system is globally asymptotically stable in probability (GASP). A numerical example is presented to illustrate the effectiveness of our results.
url http://dx.doi.org/10.1155/2013/460348
work_keys_str_mv AT zhongweilin robustpassivityandfeedbackdesignfornonlinearstochasticsystemswithstructuraluncertainty
AT jizhenliu robustpassivityandfeedbackdesignfornonlinearstochasticsystemswithstructuraluncertainty
AT yuguangniu robustpassivityandfeedbackdesignfornonlinearstochasticsystemswithstructuraluncertainty
_version_ 1725582900745732096

Similar Items