Application of optimal polynomial controller to a benchmark problem

Earthquake Engineering and Structural Dynamics

Volumn 27, Issue 11, 1998, Pages 1291-1302

  Agrawal, A K ^a   Yang, J N ^b   Wu, J C ^c  

^a CITY COLLEGE OF NEW YORK   (United States)

^b University of California at Irvine   (United States)

^c TAMKANG UNIVERSITY   (Taiwan)

Author keywords

Benchmark problem; Nonlinear control; Optimal polynomial control; Seismic response control; Structural control

Indexed keywords

BENCHMARKING; DYNAMIC RESPONSE; EARTHQUAKE RESISTANCE; ESTIMATION; LYAPUNOV METHODS; NONLINEAR CONTROL SYSTEMS; POLYNOMIALS; RICCATI EQUATIONS; STRUCTURAL ANALYSIS; VIBRATION CONTROL;

LINEAR QUADRATIC GAUSSIAN (LQG) CONTROLLER; OPTIMAL POLYNOMIAL CONTROLLERS; SEISMIC RESPONSE CONTROL; STRUCTURAL CONTROL;

OPTIMAL CONTROL SYSTEMS;

EID: 0032208621     PISSN: 00988847     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1096-9845(1998110)27:11<1291::AID-EQE784>3.0.CO;2-M     Document Type: Article

References (15)

1. G. W. Housner, T. T. Soong and S. F. Masri, 'Second generation of active structural control in civil engineering', Proc. 1st World Conf. on Structural Control, USC Publication, L.A., CA, 1994, pp. panel 1-18.
2. Z. Wu, V. Gattulli, R. C. Lin and T. T. Soong, 'Implementable control laws for peak response reduction', Proc. 1st World Conf. on Structural Control, Pasadena, CA, August 1994, pp. TP250-TP259.
3. Z. Wu, R. C. Lin and T. T. Soong, 'Nonlinear feedback control for improved peak response reduction', Smart Mater. Struct. 4, 140-148 (1995).
4. D. P. Tomasula, B. F. Spencer, Jr. and M. K. Sain, 'Limiting extreme structural responses using an efficient nonlinear control law', Proc. 1st World Conf. on Structural Control, Pasadena, CA., August 1994, pp. FP422-FP431.
5. D. P. Tomasula, B. F. Spencer, Jr. and M. K. Sain, 'Limiting extreme structural responses using an efficient nonlinear control law', J. Engng. Mech. ASCE 122, 218-229 (1996).
6. A. K. Agrawal and J. N. Yang, 'Optimal polynomial control for linear and nonlinear structures', Technical Report NCEER-95-0019, National Center for Earthquake Engineering Research, State University of New York, Buffalo, 1995.
7. A. K. Agrawal and J. N. Yang, 'Optimal polynomial control for seismically excited linear structures', J. Engng. Mech. ASCE 122, 753-761 (1996).
8. A. K. Agrawal and J. N. Yang, 'Optimal polynomial control for civil engineering structures using static output feedback'. The Chinese J. Mech. 12, 91-102 (1996).
9. A. K. Agrawal and J. N. Yang, 'Static output polynomial control for linear structures', J. Engng. Mech. ASCE 123, 639-643 (1997).
10. J. L. Speyer, 'A nonlinear control law for a stochastic infinite time-problem', IEEE Trans. Automat. Control AC-21, 560-564 (1976).
11. J. N. Yang, A. K. Agrawal and S. Chen, 'Optimal polynomial control for seismically excited nonlinear and hysteretic structures', Earthquake Engng. Struct. Dyn. 25, 1211-1230 (1996).
12. B. F. Spencer, S. J. Dyke and H. S. Deoskar, 'Benchmark problems in structural control part i: active mass driver systems', Proc. 1997 ASCE Structures Cong., Portland, OR, April 13-16, 1997.
13. B. F. Spencer, S. J. Dyke and H. S. Deoskar, 'Benchmark problems in structural control part ii: active tendon system', Proc. 1997 ASCE Structures Cong., Portland, OR, April 13-16, 1997.
14. A. Grace, A. J. Laub, J. N. Little and C. M. Thompson, Control System Toolbox User's Guide, The Math Works Inc., MA, 1992.
15. L. Meirovitch, Dynamics and Control of Structures, Wiley, New York, NY, 1989.