Fixed-Time Adaptive Control With Predefined Tracking Accuracy for Piezoactuators Subject to Stochastic Disturbances

The work aims to solve the high-speed high-precision tracking control problem of piezoactuators in the presence of stochastic disturbances. First, a cascade model composed of the Preisach operator and a class of stochastic nonlinear systems is proposed to describe the sophisticated actuator dynamics...

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Published inIEEE transactions on circuits and systems. I, Regular papers Vol. 72; no. 7; pp. 3543 - 3555
Main Authors Lai, Guanyu, Li, Liang, Wang, Yonghua, Xiao, Hanzhen, Chen, C. L. Philip
Format Journal Article
LanguageEnglish
Published New York IEEE 01.07.2025
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Actuators
Adaptive control
adaptive fuzzy control
Asymptotic stability
Circuit stability
Convergence
Disturbances
fixed-time control
Fuzzy control
Fuzzy logic
High speed
Hysteresis
Integrated circuit modeling
Mathematical models
Nonlinear systems
Nonlinearity
Piezoactuators
Piezoelectric actuators
Preisach hysteresis
Preisach's theory
Robust control
Stability
Stability criteria
stochastic disturbances
Stochastic processes
Stochastic systems
Tracking control
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Abstract The work aims to solve the high-speed high-precision tracking control problem of piezoactuators in the presence of stochastic disturbances. First, a cascade model composed of the Preisach operator and a class of stochastic nonlinear systems is proposed to describe the sophisticated actuator dynamics during high-speed operation, and then a hysteresis decomposition strategy is developed to transform the Preisach model into an appropriate form tractable to control design so that a robust adaptive fuzzy control framework can be constructed successfully to suppress the hysteresis nonlinearities, and to robustify bounded stochastic disturbances. More importantly, based on such a framework, the fixed-time stability (instead of practical fixed-time stability), and the prescribed steady-state tracking performance can be established simultaneously. Besides theoretical analysis, some experimental tests are also conducted to illustrate the effectiveness of the proposed scheme.
AbstractList The work aims to solve the high-speed high-precision tracking control problem of piezoactuators in the presence of stochastic disturbances. First, a cascade model composed of the Preisach operator and a class of stochastic nonlinear systems is proposed to describe the sophisticated actuator dynamics during high-speed operation, and then a hysteresis decomposition strategy is developed to transform the Preisach model into an appropriate form tractable to control design so that a robust adaptive fuzzy control framework can be constructed successfully to suppress the hysteresis nonlinearities, and to robustify bounded stochastic disturbances. More importantly, based on such a framework, the fixed-time stability (instead of practical fixed-time stability), and the prescribed steady-state tracking performance can be established simultaneously. Besides theoretical analysis, some experimental tests are also conducted to illustrate the effectiveness of the proposed scheme.
Author Chen, C. L. Philip
Lai, Guanyu
Xiao, Hanzhen
Li, Liang
Wang, Yonghua
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Snippet The work aims to solve the high-speed high-precision tracking control problem of piezoactuators in the presence of stochastic disturbances. First, a cascade...
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SubjectTerms Actuators
Adaptive control
adaptive fuzzy control
Asymptotic stability
Circuit stability
Convergence
Disturbances
fixed-time control
Fuzzy control
Fuzzy logic
High speed
Hysteresis
Integrated circuit modeling
Mathematical models
Nonlinear systems
Nonlinearity
Piezoactuators
Piezoelectric actuators
Preisach hysteresis
Preisach's theory
Robust control
Stability
Stability criteria
stochastic disturbances
Stochastic processes
Stochastic systems
Tracking control
Title Fixed-Time Adaptive Control With Predefined Tracking Accuracy for Piezoactuators Subject to Stochastic Disturbances
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