The paper explores the Proportional-derivative controller for a double integrator plus dead time processes, which is a challenging control problem, that is designed based on the existing Proportional-integrative controller for integrator plus dead time processes. The PD controller is extended with an integral action and an ideal PID controller is received. The parameters of both controllers are received by using the pole placement technique, whereby the transcendent characteristics equation of the closed loop system is solved by using the Lambert W function. The paper also examines the influence of the desired poles of the system with a closed feedback as well as the influence of the disturbance and the change of the DIPTD processes parameters onto the received control system performances. The results received by simulation, and the quantitative indicators, show that the proposed control system has better performances in comparison to the control systems obtained by other methods in literature.


    Access

    Download


    Export, share and cite



    Title :

    TUNING PD AND PID CONTROLLERS VIA THE LAMBERT W FUNCTION FOR DOUBLE INTEGRATOR PLUS DEAD TIME PROCESSES



    Publication date :

    2019-09-24


    Remarks:

    doi:10.22190/FUACR1901001G
    Facta Universitatis, Series: Automatic Control and Robotics; Vol 18, No. 1 (2019); 001-018 ; 1820-6425 ; 1820-6417



    Type of media :

    Article (Journal)


    Type of material :

    Electronic Resource


    Language :

    English


    Classification :

    DDC:    629




    DESIGN OF PID CONTROLLERS INTEGRATOR SYSTEM WITH TIME DELAY AND DOUBLE INTEGRATING PROCESSES

    B.S.Patil / L.M.Waghmare / M.D.Uplane | BASE | 2020

    Free access

    Composite Control Strategy for Process of Integrator Plus Time Delay

    Changqing, Z. / Xiangyang, Y. / Jianzhong, X. | British Library Online Contents | 2006



    Discrete PID control for integrator processes with time delay

    Zhang, Q. / Wang, R.-r. / Liu, X. et al. | British Library Online Contents | 2002