Modal space sliding-mode control of structures

Earthquake Engineering and Structural Dynamics

Volumn 27, Issue 11, 1998, Pages 1303-1314

  Adhikari, Rajesh ^a,b   Yamaguchi, Hiroki ^b   Yamazaki, Toshiki ^b  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b SAITAMA UNIVERSITY   (Japan)

Author keywords

Benchmark problem; Complex modal analysis; Complex eigenvalue analysis; Sliding mode control; Wavelet analysis

Indexed keywords

BENCHMARKING; BUILDINGS; DAMPING; DYNAMIC RESPONSE; EARTHQUAKE RESISTANCE; EIGENVALUES AND EIGENFUNCTIONS; MATHEMATICAL MODELS; MODAL ANALYSIS; STATE SPACE METHODS;

ACTIVE MASS DRIVER (AMD); SLIDING MODE CONTROL (SMC);

STRUCTURAL ANALYSIS;

EID: 0032208834     PISSN: 00988847     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1096-9845(1998110)27:11<1303::AID-EQE785>3.0.CO;2-J     Document Type: Article

References (23)

1. B. F. J. Spencer, S. J. Dyke and H. S. Deoskar, 'Benchmark problems in structural control. Part I: active mass driver system', in Proc. 1997 ASCE Structures Congr., Portland, Oregon, 13-16 April 1997.
2. K. D. Young, 'Discontinuous control of sliding base isolated structures under earthquake', in IMACS/SICE Int. Symp. on Robotics, Mechatronics and Manufacturing Systems, Kobe, Japan, 16-20 September 1992.
3. J. N. Yang, J. C. Wu, A. K. Agrawal and Z. Li, 'Sliding mode control for seismic-excited linear and nonlinear civil engineering structures'. Technical Report, NCEER-94-0017, 1994.
4. J. N. Yang, J. C. Wu and A. K. Agrawal, 'Sliding mode control of seismically excited linear structures'. J. Engng. Mech. ASCE 121, 1330-1339 (1995).
5. J. N. Yang, J. C. Wu and A. K. Agrawal, 'Sliding mode control of seismically excited nonlinear and hysteretic structures'. J. Engng. Mech. ASCE 121, 1386-1390 (1995).
6. J. N. Yang, J. C. Wu, A. M. Reinhorn and M. Riley, 'Control of sliding-isolated buildings using sliding mode control'. J. Engng. Mech. ASCE 122, 83-91 (1996).
7. V. I. Utkin, 'Variable structure systems-present and future'. Automat. Remote Control 44, 1105-1120 (1983).
8. E. P. Ryan, 'A variable structure approach to feedback regulation of uncertain dynamical systems'. Int. J. Control 38(6), 1121-1134 (1983).
9. O. M. E. El-Ghezawi, A. S. Zinober and S. A. Billings, 'Analysis and design of variable structure systems using a geometric approach'. Int. J. Control 38(3), 657-671 (1983).
10. E. Bailey and A. Arapostathis, 'Simple sliding mode control scheme applied to robot manipulators'. Int. J. Control 45, 1197-1209 (1987).
11. R. A. DeCarlo, S. H. Zak and G. P. Matthews, 'Variable structure control of nonlinear multivariable systems: a tutorial'. Proc. IEEE 76(3), 212-232 (1988).
12. J.-J. E. Slotine and W. Li, Applied Nonlinear Control, Prentice-Hall International Editions, Englewood Cliffs, NJ, 1991.
13. J. N. Yang and M. J. Lin, 'Optimal critical-mode control of building under seismic load'. J. Engng. Mech. Div. ASCE 108, 1157-1185 (1982).
14. J. N. Juang, S. Sae-Ung and J. N. Yang, 'Active control of large building structures'. In Structural Control, North-Holland, Amsterdam, 1980, pp. 663-676.
15. M. Balas, 'Feedback control of flexible systems'. IEEE Trans. Automat. Control AC-23, 673-679 (1978).
16. M. Yamada and K. Ohkitani, 'Orthonormal wavelet expansion and its application to turbulence. (Progress Letters)'. Progr. Theoret. Phys. 83(5), 819-823 (1990).
17. M. Farge, 'Wavelet transform and their applications to turbulence'. Ann. Rev. Fluid Mech. 24, 395-467 (1992).
18. L. Meirovitch, Dynamics and Control of Structures, Wiley, New York, 1989.
19. MATLAB. The Math Works, Inc. Natic, MA, 1994.
20. B. Draženovic, 'The invariance conditions in variable structure systems'. Automatica 5, 287-295 (1969).
21. V. I. Utkin and K. D. Young, 'Methods for constructing discontinuous planes in multidimensional variable structure systems'. Automat. Remote Control 31, 1466-1470 (1978).
22. M. J. Coreless and G. Leitmann, 'Continuous state feedback guaranteeing uniform ultimate boundedness for uncertain dynamic systems'. IEEE Trans. Automat. Control AC-26, 1139-1144 (1981).
23. K. Nonami and H. Tian, Sliding Mode Control Corona Publishing Co. Ltd., Japan, 1994, (in Japanese).