Prescribed-Time Second-Order Sliding Mode Controller Design Subject to Mismatched Term

This paper investigates the second-order sliding mode (SOSM) control for uncertain nonlinear systems subject to unknown mismatched terms. A new prescribed-time SOSM controller is developed by applying a time-varying coordinate transformation. The proposed controller can allow to prescribe the conver...

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Bibliographic Details
Published inIEEE transactions on circuits and systems. II, Express briefs Vol. 70; no. 6; p. 1
Main Authors Shi, Shang, Wang, Xinming, Li, Shihua, Yang, Jun
Format Journal Article
LanguageEnglish
Published New York IEEE 01.06.2023
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Control systems design
Controllers
Convergence
Coordinate transformations
Initial conditions
Lyapunov methods
Mismatched term
Nonlinear control
Nonlinear system
Nonlinear systems
Prescribed-time
Process control
Regulation
Second-order sliding mode
Sliding mode control
Uncertainty
Upper bound
Upper bounds
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Summary:This paper investigates the second-order sliding mode (SOSM) control for uncertain nonlinear systems subject to unknown mismatched terms. A new prescribed-time SOSM controller is developed by applying a time-varying coordinate transformation. The proposed controller can allow to prescribe the convergence time a priori and irrespective of initial conditions even in the presence of mismatched terms. Moreover, all the upper bounds of matched and mismatched uncertainties are not required to be exactly known. Finally, a simulation example with different initial conditions is given to show the effectiveness of the proposed controller.
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ISSN:1549-7747
1558-3791
DOI:10.1109/TCSII.2022.3227053