A journal of IEEE and CAA , publishes high-quality papers in English on original theoretical/experimental research and development in all areas of automation
Volume 7 Issue 2
Mar.  2020

IEEE/CAA Journal of Automatica Sinica

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Article Contents
Guang Jin and Mingcong Deng, "Operator-Based Robust Nonlinear Free Vibration Control of a Flexible Plate With Unknown Input Nonlinearity," IEEE/CAA J. Autom. Sinica, vol. 7, no. 2, pp. 442-450, Mar. 2020. doi: 10.1109/JAS.2020.1003042
Citation: Guang Jin and Mingcong Deng, "Operator-Based Robust Nonlinear Free Vibration Control of a Flexible Plate With Unknown Input Nonlinearity," IEEE/CAA J. Autom. Sinica, vol. 7, no. 2, pp. 442-450, Mar. 2020. doi: 10.1109/JAS.2020.1003042

Operator-Based Robust Nonlinear Free Vibration Control of a Flexible Plate With Unknown Input Nonlinearity

doi: 10.1109/JAS.2020.1003042
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  • In this paper, a robust nonlinear free vibration control design using an operator based robust right coprime factorization approach is considered for a flexible plate with unknown input nonlinearity. With considering the effect of unknown input nonlinearity from the piezoelectric actuator, operator based controllers are designed to guarantee the robust stability of the nonlinear free vibration control system. Simultaneously, for ensuring the desired tracking performance and reducing the effect of unknown input nonlinearity, operator based tracking compensator and estimation structure are given, respectively. Finally, both simulation and experimental results are shown to verify the effectiveness of the proposed control scheme.

     

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  • [1]
    G. Jin, M. C. Deng, and S. Wakitani, “Operator based two loop nonlinear forced vibration control of a flexible plate,” Electrical Engineering in Japan, vol. 203, no. 2, pp. 19–28, 2018. doi: 10.1002/eej.23056
    [2]
    T. Bailey and J. Hubbart, “Distributed piezoelectric-polymer active vibration control of a cantilever beam,” J. Guidance,Control and Dynamics, vol. 8, no. 5, pp. 605–611, 1985. doi: 10.2514/3.20029
    [3]
    E. Dimitriadis, C. Fuller, and C. Rogers, “Piezoelectric actuators for distributed vibration excitation of thin plates,” J. Vibration and Acoustics, vol. 113, no. 1, pp. 100–107, 1991. doi: 10.1115/1.2930143
    [4]
    G. R. Chen and Z. Z. Han, “Robust right factorization and robust stabilization of nonlinear feedback control systems,” IEEE Trans. Automatic Control, vol. 43, no. 10, pp. 1505–1510, Oct. 1998. doi: 10.1109/9.720519
    [5]
    A. Banos, “A right coprime factorization of feedback linearizable systems,” in Proc. American Control Conf., Baltimore, Maryland, USA, pp. 1700–1701, Jun.–Jul. 1994.
    [6]
    M. Verma and L. Hunt, “Right coprime factorization and stabilization for nonlinear systems,” IEEE Trans. Automatic Control, vol. 38, pp. 222–231, 1993. doi: 10.1109/9.250511
    [7]
    M. C. Deng, Z. Iwai, and I. Mizumoto, “Robust parallel compensator design for output feedback stabilization of plants with structured uncertainty,” System and Control Letters, vol. 36, no. 3, pp. 193–198, 1999. doi: 10.1016/S0167-6911(98)00091-7
    [8]
    M. C. Deng, S. J. Wen, and A. Inoue, “Operator-based robust nonlinear control for a peltier actuated process,” Measurement and Control, vol. 44, no. 4, pp. 116–120, 2011. doi: 10.1177/002029401104400404
    [9]
    M. C. Deng and A. H. Wang, “Robust non-linear control design to an ionic polymer metal composite with hysteresis using operator-based approach,” IET Control Theory and Applications, vol. 6, no. 17, pp. 2667–2675, Nov. 2012. doi: 10.1049/iet-cta.2011.0534
    [10]
    S. J. Wen, M. C, Deng, S. Bi, and D. Y. Wang, “Operator-based robust nonlinear control and its realization for a multi-tank process by using DCS,” Transactions of the Institute of Measurement and Control, vol. 34, no. 7, pp. 891–902, Oct. 2012. doi: 10.1177/0142331211424427
    [11]
    N. Bu and M. C. Deng, “Operator-based robust right coprime factorization and a nonlinear control scheme for nonlinear plant with unknown perturbations,” Asian J. Control, vol. 14, no. 16, pp. 1655–1661, 2012.
    [12]
    S. H. Bi, L. Wang, S. J. Wen, and M. C. Deng, “Operator-based robust nonlinear control for SISO and MIMO nonlinear systems with PI hysteresis,” IEEE/CAA J. Autom. Sinica, vol. 5, no. 2, pp. 523–530, Mar. 2018. doi: 10.1109/JAS.2016.7510175
    [13]
    A. H. Wang and M. C. Deng, “Robust nonlinear multivariable tracking control design to a manipulator with unknown uncertainties using operator-based robust right coprime factorization,” Trans. Institute of Measurement and Control, vol. 35, no. 6, pp. 788–797, Aug. 2013. doi: 10.1177/0142331212470838
    [14]
    M. C. Deng, C. A. Jiang, A. Inoue, and C. Y. Su, “Operator based robust control for nonlinear systems with prandtl-ishlinskii hysteresis,” Int. J. Systems Science, vol. 42, no. 4, pp. 643–652, 2011. doi: 10.1080/00207720903151318
    [15]
    C. A. Jiang, M. C. Deng, and T. Tomono, “Operator-based vibration control for aircraft vertical tail with piezoelectric actuator,” in Proc. IEEE Multi-Conf. on Systems and Control, pp. 2397–2402, Sep. 2010.
    [16]
    G. Jin and M. C. Deng, “Experimental study on operator based robust two loop nonlinear free vibration control of a flexible Plate,” in Proc. Int. Conf. Advanced Mechatronic Systems, pp. 378–382, 2016.
    [17]
    G. Jin and M. C. Deng, “Operator based robust two loop nonlinear free vibration control of a flexible plate,” in Proc. IEEE Int. Conf. Mechatronics and Automation, pp. 2240–2245, 2016.
    [18]
    Y. Katsurayama, M. C. Deng, and C. A. Jiang, “Operator-based experimental studies on nonlinear vibration control for an aircraft vertical tail with considering low-order modes,” Trans. Institute of Measurement and Control, vol. 38, no. 12, pp. 1421–1433, 2016. doi: 10.1177/0142331215592063
    [19]
    V. Hassani, T. Tjahjowidodo, and T. N. Do, “A survey on hysteresis modeling, identification and control,” Mechanical Systems and Signal Processing, vol. 49, no. 1–2, pp. 209–233, 2014. doi: 10.1016/j.ymssp.2014.04.012
    [20]
    M. C. Deng, Operator-Based Nonlinear Control Systems Design and Applications. Wiley-IEEE Press, 2014.
    [21]
    A. Leissa, Vibration of Plates. NASA SP-160, 1969.

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