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Adaptive output feedback control system design for nonlinear systems via neural networks

Published: 18 May 2024 Publication History
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  • Abstract

    Adaptive output feedback control based on output feedback exponential passivity (OFEP) has a simple structure and strong robustness in regard to disturbances and system uncertainties. However, it is difficult for most nonlinear systems to satisfy the conditions of OFEP. Thus, the introduction of a suitable parallel feedforward compensator (PFC) to construct an OFEP‐augmented system with the controlled system has been used, but the control output cannot achieve perfect tracking because of the output of the introduced PFC. As a solution, introducing a feedforward (FF) input to build a 2 degree of freedom (2‐DOF) is a simple and effective way to solve this problem. In this paper, we propose the design schemes for suitable PFC and FF input of nonlinear systems via the use of neural networks (NN), respectively. Besides, to cope with possibly present input disturbances, we also provide a method to achieve disturbance compensation based on NN to reduce their interference. Finally, the effectiveness of all proposed design schemes is confirmed through numerical simulations.

    References

    [1]
    Iwai Z, Mizumoto I, Ohtsuka H. Simple Adaptive Control (SAC). Morikita Publishing; 2008. in Japanese.
    [2]
    Mizumoto I, Ohishi S, Iwai Z. Realization of OFEP‐based adaptive output feedback control systems with a PFC. J Innov Comput, Inf Control (IJICIC). 2008;4(12):3135‐3148.
    [3]
    Mizumoto I, Iwai Z, Kohara K. Adaptive output feedback control for MIMO nonlinear systems based on feedback exponential passivity. Trans Soc Instrument Control Eng. 2001;37(2):115‐124.
    [4]
    Mizumoto I, Kawabe N, Adaptive output feedback based output tracking control with adaptive parallel feedforward compensator. In: Proceedings of 20th IFAC World Congress. 2017:5486‐5492.
    [5]
    Otakara N, Kato N, Mizumoto I. Model free design of PFC via CMAC for continuous‐time nonlinear systems. SICE J Control, Meas, Syst Integr. 2022;15(1):48‐61.
    [6]
    Albus JS. A new approach to manipulator control: the cerebellar model articulation controller (CMAC). J Dyn Syst, Meas Control. 1975;97(9):220‐227.
    [7]
    Mizumoto I, Okamatsu Y, Tanaka H, Iwai Z. Output regulation of nonlinear systems based on adaptive output feedback with adaptive NN feedforward control. J Innov Comput, Inf Control (IJICIC). 2009;5(10):3527‐3539.

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    Published In

    cover image Electronics and Communications in Japan
    Electronics and Communications in Japan  Volume 107, Issue 2
    June 2024
    89 pages
    ISSN:1942-9533
    EISSN:1942-9541
    DOI:10.1002/ecj.v107.2
    Issue’s Table of Contents

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    John Wiley & Sons, Inc.

    United States

    Publication History

    Published: 18 May 2024

    Author Tags

    1. adaptive output feedback control
    2. disturbance compensation
    3. neural network
    4. output feedback exponential passivity
    5. parallel feedforward compensator
    6. two‐degree‐of‐freedom control

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