CONTROLLING CHAOTIC OSCILLATIONS OF VISCO-ELASTIC PLATES BY THE LINEARIZATION VIA OUTPUT FEEDBACK

Applied Mathematics and Mechanics (English Edition) ›› 1999, Vol. 20 ›› Issue (12): 1324-1330.

CONTROLLING CHAOTIC OSCILLATIONS OF VISCO-ELASTIC PLATES BY THE LINEARIZATION VIA OUTPUT FEEDBACK

陈立群¹, 程昌钧^1,2

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

收稿日期:1998-07-22 修回日期:1999-03-30 出版日期:1999-12-18 发布日期:1999-12-18
基金资助:
the National Natural Science Foundation of China(19727027);China Postdoc toral Science Foundation(98JC14032);Shanghai Foundation of Sciecce and Technology(98SHB1417)

CONTROLLING CHAOTIC OSCILLATIONS OF VISCO-ELASTIC PLATES BY THE LINEARIZATION VIA OUTPUT FEEDBACK

Chen Liqun¹, Cheng Changjun^1,2

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

Received:1998-07-22 Revised:1999-03-30 Online:1999-12-18 Published:1999-12-18
Supported by:
the National Natural Science Foundation of China(19727027);China Postdoc toral Science Foundation(98JC14032);Shanghai Foundation of Sciecce and Technology(98SHB1417)

摘要/Abstract

摘要： 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.

关键词: controlling chaos;linearization via output feedback;viscoelastic plate;nonlinearity

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.

Key words: controlling chaos;linearization via output feedback;viscoelastic plate;nonlinearity

中图分类号:

O322

陈立群;程昌钧. CONTROLLING CHAOTIC OSCILLATIONS OF VISCO-ELASTIC PLATES BY THE LINEARIZATION VIA OUTPUT FEEDBACK[J]. Applied Mathematics and Mechanics (English Edition), 1999, 20(12): 1324-1330.

Chen Liqun;Cheng Changjun. CONTROLLING CHAOTIC OSCILLATIONS OF VISCO-ELASTIC PLATES BY THE LINEARIZATION VIA OUTPUT FEEDBACK[J]. Applied Mathematics and Mechanics (English Edition), 1999, 20(12): 1324-1330.

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CONTROLLING CHAOTIC OSCILLATIONS OF VISCO-ELASTIC PLATES BY THE LINEARIZATION VIA OUTPUT FEEDBACK

CONTROLLING CHAOTIC OSCILLATIONS OF VISCO-ELASTIC PLATES BY THE LINEARIZATION VIA OUTPUT FEEDBACK

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