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Adaptive high order differential feedback control for affine nonlinear system

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  • Qi, Guoyuan
  • Chen, Zengqiang
  • Yuan, Zhuzhi

Abstract

In this paper, we present an adaptive high order differential feedback controller (HODFC) which is a kind of model-free control diagram. The proposed HODFC achieves the objective that the system output and its high differentials approximate the given reference input and its high order differentials, respectively. Stability, convergence, and robustness of the closed-loop system are also studied. Moreover, a kind of linearized decoupling control is obtained for MIMO system by a multivariable HODFC.

Suggested Citation

  • Qi, Guoyuan & Chen, Zengqiang & Yuan, Zhuzhi, 2008. "Adaptive high order differential feedback control for affine nonlinear system," Chaos, Solitons & Fractals, Elsevier, vol. 37(1), pages 308-315.
    • Handle: RePEc:eee:chsofr:v:37:y:2008:i:1:p:308-315
    DOI: 10.1016/j.chaos.2006.09.027
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    References listed on IDEAS

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    1. Gambino, Gaetana & Lombardo, Maria Carmela & Sammartino, Marco, 2006. "Global linear feedback control for the generalized Lorenz system," Chaos, Solitons & Fractals, Elsevier, vol. 29(4), pages 829-837.
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    Cited by:

    1. Xin, Baogui & Chen, Tong, 2011. "On a master-slave Bertrand game model," Economic Modelling, Elsevier, vol. 28(4), pages 1864-1870, July.
    2. Du, Shengzhi & van Wyk, Barend J. & Qi, Guoyuan & Tu, Chunling, 2009. "Chaotic system synchronization with an unknown master model using a hybrid HOD active control approach," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1900-1913.
    3. Liu, Leipo & Han, Zhengzhi & Cai, Xiushan, 2009. "Sliding mode control for polytopic differential inclusion systems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(10), pages 3018-3025.

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