Global High-Order Sliding Mode Controller Design Subject to Mismatched Terms: Application to Buck Converter

This paper studies the high-order sliding mode (HOSM) control for a general class of uncertain nonlinear systems. Firstly, the standard sliding mode system is extended to a new sliding mode system subject to mismatched terms. The use of the new sliding mode system can reduce the system uncertainties...

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Published inIEEE transactions on circuits and systems. I, Regular papers Vol. 66; no. 12; pp. 4840 - 4849
Main Authors Shi, Shang, Xu, Shengyuan, Gu, Jason, Min, Huifang
Format Journal Article
LanguageEnglish
Published New York IEEE 01.12.2019
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
buck converter
Buck converters
Control systems
Control systems design
Controllers
high-order sliding mode control
Mathematical analysis
mismatched term
Nonlinear system
Nonlinear systems
Polynomials
Sliding mode control
Stability analysis
Time-varying systems
Uncertainty
Upper bound
Upper bounds
Online AccessGet full text
ISSN1549-8328
1558-0806
DOI10.1109/TCSI.2019.2933164

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Abstract This paper studies the high-order sliding mode (HOSM) control for a general class of uncertain nonlinear systems. Firstly, the standard sliding mode system is extended to a new sliding mode system subject to mismatched terms. The use of the new sliding mode system can reduce the system uncertainties in the control channel and relax the well defined relative degree assumption. Secondly, the conventional constant upper bounds assumption is relaxed to time-varying positive functions, which enables us to obtain a global result. For the new sliding mode system under the new global assumption, a novel HOSM controller, that has a simple relay polynomial form, is then proposed. By introducing a new continuous component in the controller, the discontinuous component of the controller only needs to be selected to suppress the uncertainties and thus a controller with minimal discontinuous component magnitude can be implemented. Finally, strict Lyapunov analysis is provided to show the globally finite-time stability of the closed-loop sliding mode system and an application to Buck converter is presented.
AbstractList This paper studies the high-order sliding mode (HOSM) control for a general class of uncertain nonlinear systems. Firstly, the standard sliding mode system is extended to a new sliding mode system subject to mismatched terms. The use of the new sliding mode system can reduce the system uncertainties in the control channel and relax the well defined relative degree assumption. Secondly, the conventional constant upper bounds assumption is relaxed to time-varying positive functions, which enables us to obtain a global result. For the new sliding mode system under the new global assumption, a novel HOSM controller, that has a simple relay polynomial form, is then proposed. By introducing a new continuous component in the controller, the discontinuous component of the controller only needs to be selected to suppress the uncertainties and thus a controller with minimal discontinuous component magnitude can be implemented. Finally, strict Lyapunov analysis is provided to show the globally finite-time stability of the closed-loop sliding mode system and an application to Buck converter is presented.
Author Min, Huifang
Xu, Shengyuan
Shi, Shang
Gu, Jason
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SubjectTerms buck converter
Buck converters
Control systems
Control systems design
Controllers
high-order sliding mode control
Mathematical analysis
mismatched term
Nonlinear system
Nonlinear systems
Polynomials
Sliding mode control
Stability analysis
Time-varying systems
Uncertainty
Upper bound
Upper bounds
Title Global High-Order Sliding Mode Controller Design Subject to Mismatched Terms: Application to Buck Converter
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