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A PID control method based on optimal control strategy

  • * Corresponding author: Hong Niu

    * Corresponding author: Hong Niu 
This paper is supported by the National Natural Science Foundation of China (61603168, 61773107, 61866021, 61890923) and CSC (201808210410)
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  • A PID control method which combined optimal control strategy is proposed in this paper. The posterior unmodeled dynamics measurement data information are made full use to compensate the unknown nonlinearity of the system, and the unknown increment of the unmodeled dynamics is estimated. Then, a nonlinear PID controller with compensation of the posterior unmodeled dynamics measurement data and the estimation of the increment of the unmodeled dynamics is designed. Finally, through the numerical simulation, the effectiveness of the proposed method is vertified.

    Mathematics Subject Classification: Primary: 58F15, 58F17; Secondary: 53C35.


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  • Figure 1.  Performance of proposed PID control mehtod (Output $ y $, Reference Input $ w $)

    Figure 2.  The controller $ u $

    Figure 3.  The estimation of unmodelled dynamics

    Figure 4.  The estimation error

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