Adaptive Prescribed-Time Control for a Class of Uncertain Nonlinear Systems

This article focuses on the problem of prescribed-time control for a class of uncertain nonlinear systems. First, a prescribed-time stability theorem is proposed by following the adaptive technology for the first time. Based on this theorem, a new state feedback control strategy is put forward by us...

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Published inIEEE transactions on automatic control Vol. 67; no. 11; pp. 6159 - 6166
Main Authors Hua, Changchun, Ning, Pengju, Li, Kuo
Format Journal Article
LanguageEnglish
Published New York IEEE 01.11.2022
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Adaptive control
Algorithms
Backstepping
backstepping method
Convergence
Feedback control
Initial conditions
Nonlinear systems
prescribed-time stability
State feedback
Theorems
Time-varying systems
Trajectory
uncertain nonlinear system
Upper bound
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Abstract This article focuses on the problem of prescribed-time control for a class of uncertain nonlinear systems. First, a prescribed-time stability theorem is proposed by following the adaptive technology for the first time. Based on this theorem, a new state feedback control strategy is put forward by using the backstepping method for high-order nonlinear systems with unknown parameters to ensure the prescribed-time convergence. Moreover, the prescribed-time controller is obtained in the form of continuous time-varying feedback, which can render all system states converge to zero within the prescribed time. It should be noted that the prescribed time is independent of system initial conditions, which means that the prescribed time can be set arbitrarily within the physical limitations. Finally, two simulation examples are provided to illustrate the effectiveness of our proposed algorithm.
AbstractList This article focuses on the problem of prescribed-time control for a class of uncertain nonlinear systems. First, a prescribed-time stability theorem is proposed by following the adaptive technology for the first time. Based on this theorem, a new state feedback control strategy is put forward by using the backstepping method for high-order nonlinear systems with unknown parameters to ensure the prescribed-time convergence. Moreover, the prescribed-time controller is obtained in the form of continuous time-varying feedback, which can render all system states converge to zero within the prescribed time. It should be noted that the prescribed time is independent of system initial conditions, which means that the prescribed time can be set arbitrarily within the physical limitations. Finally, two simulation examples are provided to illustrate the effectiveness of our proposed algorithm.
Author Hua, Changchun
Li, Kuo
Ning, Pengju
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  surname: Li
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  organization: Institute of Electrical Engineering, Yanshan University, Qinhuangdao, China
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Snippet This article focuses on the problem of prescribed-time control for a class of uncertain nonlinear systems. First, a prescribed-time stability theorem is...
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SubjectTerms Adaptive control
Algorithms
Backstepping
backstepping method
Convergence
Feedback control
Initial conditions
Nonlinear systems
prescribed-time stability
State feedback
Theorems
Time-varying systems
Trajectory
uncertain nonlinear system
Upper bound
Title Adaptive Prescribed-Time Control for a Class of Uncertain Nonlinear Systems
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https://www.proquest.com/docview/2728574478
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