Finite‐time stabilization for a class of more general p‐normal nonlinear systems with input and output nonlinearities

This study investigates the global finite‐time state feedback stabilization for a class of more general p‐normal nonlinear systems subjects to input time‐delay and uncertain output function under rational powers. A novel control input compensation signal comprising a finite integral of previous cont...

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Bibliographic Details
Published inInternational journal of robust and nonlinear control Vol. 34; no. 6; pp. 3946 - 3961
Main Authors Zhang, Jiao‐Jun, Song, Zhibao, Li, Ying
Format Journal Article
LanguageEnglish
Published Hoboken, USA John Wiley & Sons, Inc 01.04.2024
Wiley Subscription Services, Inc
Subjects
Compensation
Control systems design
finite‐time stability
homogeneous domination method
input time‐delay
Nonlinear systems
Nonlinearity
p‐normal nonlinear systems
Stabilization
State feedback
Time dependence
Time lag
uncertain output function
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Summary:This study investigates the global finite‐time state feedback stabilization for a class of more general p‐normal nonlinear systems subjects to input time‐delay and uncertain output function under rational powers. A novel control input compensation signal comprising a finite integral of previous control values is presented, and an equivalent system with control input dependent‐free time delay is obtained by introducing a variable transformation technique that includes the compensation signal. A suitable controller is designed in line with the homogeneous domination method to ensure the globally finite‐time stability of the closed‐loop system. Finally, the effectiveness of the proposed control scheme is verified through a numerical simulation and an induction heater circuit system.
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ISSN:1049-8923
1099-1239
DOI:10.1002/rnc.7171