Full-Order Disturbance-Observer-Based Control for Singular Hybrid System

Full-Order Disturbance-Observer-Based Control for Singular Hybrid System

The problem of the disturbance-observer-based control for singular hybrid system with two types of disturbances is addressed in this paper. Under the assumption that the system states are, unavailable, full-order observers (for both system states and the disturbance) and a nonlinear control scheme a...

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Main Authors: Xiuming Yao, Ze Dong, Dongfeng Wang
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2013/352198
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spelling doaj-0ec615500aaa479ea6dce32bd5cead392020-11-24T22:17:14ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472013-01-01201310.1155/2013/352198352198Full-Order Disturbance-Observer-Based Control for Singular Hybrid SystemXiuming Yao0Ze Dong1Dongfeng Wang2Hebei Engineering Research Center of Simulation & Optimized Control for Power Generation, North China Electric Power University, Baoding 071003, ChinaHebei Engineering Research Center of Simulation & Optimized Control for Power Generation, North China Electric Power University, Baoding 071003, ChinaHebei Engineering Research Center of Simulation & Optimized Control for Power Generation, North China Electric Power University, Baoding 071003, ChinaThe problem of the disturbance-observer-based control for singular hybrid system with two types of disturbances is addressed in this paper. Under the assumption that the system states are, unavailable, full-order observers (for both system states and the disturbance) and a nonlinear control scheme are constructed, such that the composite system can be guaranteed to be stochastically admissible, and the two types of disturbances can be attenuated and rejected, simultaneously. Based on the Lyapunov stability theory, sufficient conditions for the existence of the desired full-order disturbance-observer-based controllers are established in terms of linear matrix inequalities (LMIs). Finally, a numerical example is provided to show the effectiveness of the proposed approaches.http://dx.doi.org/10.1155/2013/352198
collection DOAJ
language English
format Article
sources DOAJ
author Xiuming Yao
Ze Dong
Dongfeng Wang
spellingShingle Xiuming Yao
Ze Dong
Dongfeng Wang
Full-Order Disturbance-Observer-Based Control for Singular Hybrid System
Mathematical Problems in Engineering
author_facet Xiuming Yao
Ze Dong
Dongfeng Wang
author_sort Xiuming Yao
title Full-Order Disturbance-Observer-Based Control for Singular Hybrid System
title_short Full-Order Disturbance-Observer-Based Control for Singular Hybrid System
title_full Full-Order Disturbance-Observer-Based Control for Singular Hybrid System
title_fullStr Full-Order Disturbance-Observer-Based Control for Singular Hybrid System
title_full_unstemmed Full-Order Disturbance-Observer-Based Control for Singular Hybrid System
title_sort full-order disturbance-observer-based control for singular hybrid system
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2013-01-01
description The problem of the disturbance-observer-based control for singular hybrid system with two types of disturbances is addressed in this paper. Under the assumption that the system states are, unavailable, full-order observers (for both system states and the disturbance) and a nonlinear control scheme are constructed, such that the composite system can be guaranteed to be stochastically admissible, and the two types of disturbances can be attenuated and rejected, simultaneously. Based on the Lyapunov stability theory, sufficient conditions for the existence of the desired full-order disturbance-observer-based controllers are established in terms of linear matrix inequalities (LMIs). Finally, a numerical example is provided to show the effectiveness of the proposed approaches.
url http://dx.doi.org/10.1155/2013/352198
work_keys_str_mv AT xiumingyao fullorderdisturbanceobserverbasedcontrolforsingularhybridsystem
AT zedong fullorderdisturbanceobserverbasedcontrolforsingularhybridsystem
AT dongfengwang fullorderdisturbanceobserverbasedcontrolforsingularhybridsystem
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