Compact Model-Free Adaptive Control Algorithm for Discrete-Time Nonlinear Systems

In model free adaptive control (MFAC), a virtual equivalent dynamic linearized model is built. The linearization length constants (LLCs) of the virtual equivalent dynamic linearized model are selected by the practitioner based on experience. In this paper, the optimal LLCs are investigated, and comp...

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Published in:IEEE access Vol. 7; pp. 141062 - 141071
Main Authors: Zhang, Xiaofei, Ma, Hongbin, Zhang, Xinghong, Li, You
Format: Journal Article
Language:English
Published: Piscataway IEEE 2019
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:
Adaptation models
Adaptive algorithm
Adaptive algorithms
Adaptive control
Control algorithms
control design
Control systems
Control theory
Discrete time systems
Equivalence
Linearization
Mathematical model
Nonlinear control
Nonlinear dynamical systems
Nonlinear systems
Simulation
Tracking errors
ISSN:2169-3536, 2169-3536
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Abstract In model free adaptive control (MFAC), a virtual equivalent dynamic linearized model is built. The linearization length constants (LLCs) of the virtual equivalent dynamic linearized model are selected by the practitioner based on experience. In this paper, the optimal LLCs are investigated, and compact model free adaptive control (CMFAC) is introduced for a class of unknown discrete-time nonlinear systems. Compared with MFAC, the proposed CMFAC does not need to consider the values of LLCs, and the optimal LLCs are decided by the desired tracking error of systems. Simulation experiments are taken, and the simulation results indicate that the proposed control algorithm is effective and can achieve asymptotic tracking.
AbstractList In model free adaptive control (MFAC), a virtual equivalent dynamic linearized model is built. The linearization length constants (LLCs) of the virtual equivalent dynamic linearized model are selected by the practitioner based on experience. In this paper, the optimal LLCs are investigated, and compact model free adaptive control (CMFAC) is introduced for a class of unknown discrete-time nonlinear systems. Compared with MFAC, the proposed CMFAC does not need to consider the values of LLCs, and the optimal LLCs are decided by the desired tracking error of systems. Simulation experiments are taken, and the simulation results indicate that the proposed control algorithm is effective and can achieve asymptotic tracking.
Author Ma, Hongbin
Zhang, Xiaofei
Zhang, Xinghong
Li, You
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  organization: National Key Laboratory of Human Factors Engineering, China Astronaut Research and Training Center, Beijing, China
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Snippet In model free adaptive control (MFAC), a virtual equivalent dynamic linearized model is built. The linearization length constants (LLCs) of the virtual...
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SubjectTerms Adaptation models
Adaptive algorithm
Adaptive algorithms
Adaptive control
Control algorithms
control design
Control systems
Control theory
Discrete time systems
Equivalence
Linearization
Mathematical model
Nonlinear control
Nonlinear dynamical systems
Nonlinear systems
Simulation
Tracking errors
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Title Compact Model-Free Adaptive Control Algorithm for Discrete-Time Nonlinear Systems
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