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Controlling chaotic oscillations of visco-elastic plates by the linearization via output feedback

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Abstract

Controlling chaotic oscillations of viscoelastic plates are investigated in this paper. Based on the exact linearization method in nonlinear system control theory, a nonlinear feedback control law is presented for a class of non-affine control systems. The mathematical model describing motion of nonlinear viscoelastic plates is established, and it is simplified by the Galerkin method. The phase space portrait and the power spectrum are employed to demonstrate chaos in the system. The deflection is treated as an output, and is controlled to given periodic goals.

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Authors and Affiliations

  1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, 200072, Shanghai, P R China

    Chen Liqun & Cheng Changjun

  2. Department of Mechanics, Shanghai University, 200072, Shanghai, P R China

    Cheng Changjun

Authors
  1. Chen Liqun
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  2. Cheng Changjun
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Foundation item: the National Natural Science Foundation of China (19727027); China Postdoctoral Science Foundation (98JC14032); Shanghai Foundation of Sciecce and Technology (98SHB1417)

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Liqun, C., Changjun, C. Controlling chaotic oscillations of visco-elastic plates by the linearization via output feedback. Appl Math Mech 20, 1324–1330 (1999). https://doi.org/10.1007/BF02459165

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  • DOI: https://doi.org/10.1007/BF02459165

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