Command Filter-Based Predefined Time Adaptive Control for Nonlinear Systems

In this article, we study the predefined-time adaptive control problem for a class of strict-feedback nonlinear systems with parametric uncertainties and disturbances. A new practical predefined time stable (PPTS) criterion is first presented as the theoretical basis of predefined time control desig...

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Published inIEEE transactions on automatic control Vol. 69; no. 11; pp. 7863 - 7870
Main Authors Sui, Shuai, Chen, C. L. Philip, Tong, Shaocheng
Format Journal Article
LanguageEnglish
Published New York IEEE 01.11.2024
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Adaptive control
Adaptive systems
Adaptive tracking control
Backstepping
Control design
Control methods
Control systems
Control systems design
Convergence
Criteria
Nonlinear control
Nonlinear systems
predefined time control
predefined time filter
Stability criteria
Tracking errors
Uncertain systems
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Abstract In this article, we study the predefined-time adaptive control problem for a class of strict-feedback nonlinear systems with parametric uncertainties and disturbances. A new practical predefined time stable (PPTS) criterion is first presented as the theoretical basis of predefined time control design, and then a new nonlinear command filter is designed. Based on the established PPTS criterion and backstepping control design technique, a command filter-based predefined time adaptive backstepping control scheme is developed. The proposed control method can guarantee the control system to be PPTS and the tracking error converges to a small neighborhood around zero. Moreover, it can overcome the computational complexity and control singular problems. Finally, the simulation and comparisons are provided to verify the predefined time control performance.
AbstractList In this article, we study the predefined-time adaptive control problem for a class of strict-feedback nonlinear systems with parametric uncertainties and disturbances. A new practical predefined time stable (PPTS) criterion is first presented as the theoretical basis of predefined time control design, and then a new nonlinear command filter is designed. Based on the established PPTS criterion and backstepping control design technique, a command filter-based predefined time adaptive backstepping control scheme is developed. The proposed control method can guarantee the control system to be PPTS and the tracking error converges to a small neighborhood around zero. Moreover, it can overcome the computational complexity and control singular problems. Finally, the simulation and comparisons are provided to verify the predefined time control performance.
Author Chen, C. L. Philip
Sui, Shuai
Tong, Shaocheng
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SubjectTerms Adaptive control
Adaptive systems
Adaptive tracking control
Backstepping
Control design
Control methods
Control systems
Control systems design
Convergence
Criteria
Nonlinear control
Nonlinear systems
predefined time control
predefined time filter
Stability criteria
Tracking errors
Uncertain systems
Title Command Filter-Based Predefined Time Adaptive Control for Nonlinear Systems
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Volume 69
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