Global Prescribed-Time Controller Design for p-Normal Switched Nonlinear Systems With Dead-Zone Inputs

The global stabilization controller design is addressed in this paper for a kind of uncertain switched nonlinear systems (SNSs) in <inline-formula> <tex-math notation="LaTeX">p </tex-math></inline-formula>-normal form. Notably, the study possess two significant feat...

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Published inIEEE access Vol. 9; pp. 11272 - 11281
Main Authors Hou, Deheng, Gao, Fangzheng
Format Journal Article
LanguageEnglish
Published Piscataway IEEE 2021
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
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Asymptotic stability
Canonical forms
Control methods
Control systems design
Controllers
dead-zone inputs
Liapunov functions
Nonlinear systems
Power system stability
prescribed-time stabilization
Stability criteria
Stabilization
State feedback
Switched nonlinear systems
Switched systems
Switches
time-varying scaling transformation
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ISSN2169-3536
2169-3536
DOI10.1109/ACCESS.2021.3050276

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Abstract The global stabilization controller design is addressed in this paper for a kind of uncertain switched nonlinear systems (SNSs) in <inline-formula> <tex-math notation="LaTeX">p </tex-math></inline-formula>-normal form. Notably, the study possess two significant features: the system under investigation is subject to the dead-zone inputs, and the system states are expected to be driven to zero in prescribed finite time. To do this, a novel time-varying scaling transformation (TVST), which can be used to change the original prescribed-time stabilization into the asymptotic stabilization of transformed one, is first recommended. Then, with the aid of the common Lyapunov function (CLF) technique, the state feedback stabilization within prescribed-time of SNSs is established by using the recursive idea. Finally, the effectiveness of given control method is confirmed by simulation results of a liquid-level system.
AbstractList The global stabilization controller design is addressed in this paper for a kind of uncertain switched nonlinear systems (SNSs) in <inline-formula> <tex-math notation="LaTeX">p </tex-math></inline-formula>-normal form. Notably, the study possess two significant features: the system under investigation is subject to the dead-zone inputs, and the system states are expected to be driven to zero in prescribed finite time. To do this, a novel time-varying scaling transformation (TVST), which can be used to change the original prescribed-time stabilization into the asymptotic stabilization of transformed one, is first recommended. Then, with the aid of the common Lyapunov function (CLF) technique, the state feedback stabilization within prescribed-time of SNSs is established by using the recursive idea. Finally, the effectiveness of given control method is confirmed by simulation results of a liquid-level system.
The global stabilization controller design is addressed in this paper for a kind of uncertain switched nonlinear systems (SNSs) in [Formula Omitted]-normal form. Notably, the study possess two significant features: the system under investigation is subject to the dead-zone inputs, and the system states are expected to be driven to zero in prescribed finite time. To do this, a novel time-varying scaling transformation (TVST), which can be used to change the original prescribed-time stabilization into the asymptotic stabilization of transformed one, is first recommended. Then, with the aid of the common Lyapunov function (CLF) technique, the state feedback stabilization within prescribed-time of SNSs is established by using the recursive idea. Finally, the effectiveness of given control method is confirmed by simulation results of a liquid-level system.
The global stabilization controller design is addressed in this paper for a kind of uncertain switched nonlinear systems (SNSs) in p-normal form. Notably, the study possess two significant features: the system under investigation is subject to the dead-zone inputs, and the system states are expected to be driven to zero in prescribed finite time. To do this, a novel time-varying scaling transformation (TVST), which can be used to change the original prescribed-time stabilization into the asymptotic stabilization of transformed one, is first recommended. Then, with the aid of the common Lyapunov function (CLF) technique, the state feedback stabilization within prescribed-time of SNSs is established by using the recursive idea. Finally, the effectiveness of given control method is confirmed by simulation results of a liquid-level system.
Author Hou, Deheng
Gao, Fangzheng
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Snippet The global stabilization controller design is addressed in this paper for a kind of uncertain switched nonlinear systems (SNSs) in <inline-formula> <tex-math...
The global stabilization controller design is addressed in this paper for a kind of uncertain switched nonlinear systems (SNSs) in [Formula Omitted]-normal...
The global stabilization controller design is addressed in this paper for a kind of uncertain switched nonlinear systems (SNSs) in p-normal form. Notably, the...
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Asymptotic stability
Canonical forms
Control methods
Control systems design
Controllers
dead-zone inputs
Liapunov functions
Nonlinear systems
Power system stability
prescribed-time stabilization
Stability criteria
Stabilization
State feedback
Switched nonlinear systems
Switched systems
Switches
time-varying scaling transformation
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Title Global Prescribed-Time Controller Design for p-Normal Switched Nonlinear Systems With Dead-Zone Inputs
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