Compact model-free adaptive control algorithm for discrete-time nonlinear systems

Xiaofei Zhang; Hongbin Ma; Xinghong Zhang; You Li

doi:10.1109/ACCESS.2019.2944414

Compact model-free adaptive control algorithm for discrete-time nonlinear systems

Xiaofei Zhang, Hongbin Ma^*, Xinghong Zhang, You Li

^*Corresponding author for this work

School of Automation

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

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.

Original language	English
Article number	8852728
Pages (from-to)	141062-141071
Number of pages	10
Journal	IEEE Access
Volume	7
DOIs	https://doi.org/10.1109/ACCESS.2019.2944414
Publication status	Published - 2019

Keywords

Adaptive algorithm
control design
discrete time systems

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10.1109/ACCESS.2019.2944414

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Zhang, X., Ma, H., Zhang, X., & Li, Y. (2019). Compact model-free adaptive control algorithm for discrete-time nonlinear systems. IEEE Access, 7, 141062-141071. Article 8852728. https://doi.org/10.1109/ACCESS.2019.2944414

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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.",

keywords = "Adaptive algorithm, control design, discrete time systems",

author = "Xiaofei Zhang and Hongbin Ma and Xinghong Zhang and You Li",

note = "Publisher Copyright: {\textcopyright} 2013 IEEE.",

year = "2019",

doi = "10.1109/ACCESS.2019.2944414",

language = "English",

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T1 - Compact model-free adaptive control algorithm for discrete-time nonlinear systems

AU - Zhang, Xiaofei

AU - Ma, Hongbin

AU - Zhang, Xinghong

AU - Li, You

PY - 2019

Y1 - 2019

N2 - 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.

AB - 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.

KW - Adaptive algorithm

KW - control design

KW - discrete time systems

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DO - 10.1109/ACCESS.2019.2944414

M3 - Article

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VL - 7

SP - 141062

EP - 141071

JO - IEEE Access

JF - IEEE Access

M1 - 8852728

ER -

Compact model-free adaptive control algorithm for discrete-time nonlinear systems

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