Full-State Linearization and Stabilization of SISO Markovian Jump Nonlinear Systems

Full-State Linearization and Stabilization of SISO Markovian Jump Nonlinear Systems

This paper investigates the linearization and stabilizing control design problems for a class of SISO Markovian jump nonlinear systems. According to the proposed relative degree set definition, the system can be transformed into the canonical form through the appropriate coordinate changes followed...

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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/10.1155/2013/931695
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spelling doaj-90e9912a3043461587b518ce5f7aa2802020-11-24T20:45:53ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472013-01-01201310.1155/2013/931695931695Full-State Linearization and Stabilization of SISO Markovian Jump Nonlinear SystemsZhongwei 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 investigates the linearization and stabilizing control design problems for a class of SISO Markovian jump nonlinear systems. According to the proposed relative degree set definition, the system can be transformed into the canonical form through the appropriate coordinate changes followed with the Markovian switchings; that is, the system can be full-state linearized in every jump mode with respect to the relative degree set n,…,n. Then, a stabilizing control is designed through applying the backstepping technique, which guarantees the asymptotic stability of Markovian jump nonlinear systems. A numerical example is presented to illustrate the effectiveness of our results.http://dx.doi.org/10.1155/2013/931695
collection DOAJ
language English
format Article
sources DOAJ
author Zhongwei Lin
Jizhen Liu
Yuguang Niu
spellingShingle Zhongwei Lin
Jizhen Liu
Yuguang Niu
Full-State Linearization and Stabilization of SISO Markovian Jump Nonlinear Systems
Mathematical Problems in Engineering
author_facet Zhongwei Lin
Jizhen Liu
Yuguang Niu
author_sort Zhongwei Lin
title Full-State Linearization and Stabilization of SISO Markovian Jump Nonlinear Systems
title_short Full-State Linearization and Stabilization of SISO Markovian Jump Nonlinear Systems
title_full Full-State Linearization and Stabilization of SISO Markovian Jump Nonlinear Systems
title_fullStr Full-State Linearization and Stabilization of SISO Markovian Jump Nonlinear Systems
title_full_unstemmed Full-State Linearization and Stabilization of SISO Markovian Jump Nonlinear Systems
title_sort full-state linearization and stabilization of siso markovian jump nonlinear systems
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2013-01-01
description This paper investigates the linearization and stabilizing control design problems for a class of SISO Markovian jump nonlinear systems. According to the proposed relative degree set definition, the system can be transformed into the canonical form through the appropriate coordinate changes followed with the Markovian switchings; that is, the system can be full-state linearized in every jump mode with respect to the relative degree set n,…,n. Then, a stabilizing control is designed through applying the backstepping technique, which guarantees the asymptotic stability of Markovian jump nonlinear systems. A numerical example is presented to illustrate the effectiveness of our results.
url http://dx.doi.org/10.1155/2013/931695
work_keys_str_mv AT zhongweilin fullstatelinearizationandstabilizationofsisomarkovianjumpnonlinearsystems
AT jizhenliu fullstatelinearizationandstabilizationofsisomarkovianjumpnonlinearsystems
AT yuguangniu fullstatelinearizationandstabilizationofsisomarkovianjumpnonlinearsystems
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