Controlling chaotic oscillations of viscoelastic plates by the linearization via output feedback

Applied Mathematics and Mechanics (English Edition)

Volumn 20, Issue 12, 1999, Pages 1324-1330

  Liqun, Chen ^a   Changjun, Cheng ^a  

^a SHANGHAI UNIVERSITY   (China)

Author keywords

Controlling chaos; Linearization via output feedback; Nonlinearity; Viscoelastic plate

Indexed keywords

CHAOS THEORY; CONTROL NONLINEARITIES; FEEDBACK CONTROL; LINEARIZATION; VISCOELASTICITY;

CONTROLLING CHAOS; VISCOELASTIC PLATE;

PLATE METAL;

EID: 0033296993     PISSN: 02534827     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02459165     Document Type: Article

References (14)

1. Shinbrot T, Grebogi C, Ott E, et al. Using small perturbations to control chaos[J]. Nature,1993,363(3):411-417.
2. Lindner J F, Ditto W L. Removal, suppression, and control of chaos by nonlinear design [J]. Rev Appl Mech, 1995,45(12):795-807.
3. Hu Haiyan. Active control of chaos of mechanical systems [J]. Adv Mech, 1996,26(4):453-463.(in Chinese)
4. Chen Liqun, Liu Yanzhu. Controlling chaos: present and future[J]. J Shanghai Jiaotong Univ, 1998,32(1):108-114.(in Chinese)
5. Hall E K, Hanagud S V. Control of nonlinear structural dynamic systems:chaotic vibrations[J]. J Guidance Control Dynamics, 1993,16:470-476.
6. Alvarez-Gallegos J. Nonlinear regulation of a Lorenz system by feedback linearization techniques[J]. Dynam Cont, 1994,4(2):277-298.
7. Yu X. Controlling chaos using input-output linearization approach[J]. Int J Bifur Chaos, 1997,7(8):1659-1664.
8. Chen Liqun, Liu Yanzhu. Control of the Lorenz chaos by the exact linearization [J]. Applied Mathematics and Mechanics (English Edition) , 1998,19(1):67-74.
9. Suire G. Cederbaum G. Periodic and chaotic behavior of viscoelastic nonlinear (elastic) bars under harmonic excitations[J]. Int J Mech Sci, 1995,37(7):753-772.
10. Ding R. The dynamic analysis of viscoelastic structure[D]. Doctoral Dissertation, Lanzhou: Lanzhou University, 1996,56-72.
11. Argyris J. Chaotic vibrations of a nonlinear viscoelastic beam[J]. Chaos, Solitons, Fractals, 1996,7(1):151-163.
12. Zhang Nenghui. Static-dynamic analysis of viscoelastic plate-shell structures [D]. Doctoral Dissertation, Lanzhou:Lanzhou University, 1997,39-99. (in Chinese)
13. Isidori A. Nonlinear Control Systems[M]. New York: Springer-Verlag, 1989,156-172.
14. Touati D. Cederbaum G. Dynamic stability of nonlinear viscoelastic plate[J]. Int J Solids Struct, 1994,31(17):2367-2376.