Mixed H2/H∞ control of tall buildings with reduced-order modelling technique

Structural Control and Health Monitoring

Volumn 15, Issue 1, 2008, Pages 64-89

  Du, Haiping ^a   Zhang, Nong ^a   Nguyen, Hung ^a  

^a UNIVERSITY OF TECHNOLOGY SYDNEY   (Australia)

Author keywords

Active control; Model reduction; Pole placement; Robust stability; Tall building

Indexed keywords

COMPUTER SIMULATION; LINEAR MATRIX INEQUALITIES; OPTIMIZATION; STRUCTURAL DESIGN; SYSTEM STABILITY; TALL BUILDINGS;

ACTIVE CONTROL STRATEGIES; MODEL REDUCTION; POLE PLACEMENT; REDUCED-ORDER MODEL; VIBRATIONAL MODES;

CONTROL SYSTEMS;

EID: 40549108304     PISSN: 15452255     EISSN: 15452263     Source Type: Journal    
DOI: 10.1002/stc.207     Document Type: Article

References (30)

1. Spencer Jr. BF, Sain MK. Controlling of buildings: a new frontier in feedback. IEEE Control System Magazine 1997; 17:19-35.
2. Balas MJ. Feedback control of flexible systems. IEEE Transactions on Automatic Control 1978; 23:673-679.
3. ∞ controller design using LMI and genetic algorithm. Proceedings of the American Control Conference, Anchorage, U.S.A., 2002; 511-512.
4. Guyan RJ. Reduction of stiffness and mass matrices. AIAA Journal 1965; 3:380.
5. Ma Z, Hagiwara I. Development of new mode-superposition technique for truncating the lower-and/or higher frequency modes. JSME Transaction C 1991; 57:74-81.
6. Zhang N. Dynamic condensation of mass and stiffness matrices. Journal of Sound and Vibration 1995; 188:601-615.
7. Boffa J, Zhang N, Samali B. Study on model reduction of large structural systems for active vibration control. Proceedings of the 4th Australian Congress on Applied Mechanics, Melbourne, Australia, 2005; 293-298.
8. Boffa J, Zhang N. Experimental evaluation of reduced models of large structural systems for active vibration control. Australian Earthquake Engineering Society Conference, Albury, Australia, 2005.
9. Zhang N, Li QS. Model reduction of high-rise structures based on a dynamic condensation method. Advances in Structural Engineering 1999; 2:331-336.
10. Spencer Jr. BF, Dyke SJ, Deoskar HS. Benchmark problems in structural control - Part I: Active mass driver system. Earthquake Engineering and Structural Dynamics 1998; 27:1127-1139.
11. Spencer Jr. BF, Dyke SJ, Deoskar HS. Benchmark problems in structural control - Part II: Active tension system. Earthquake Engineering and Structural Dynamics 1998; 27:1141-1147.
12. Yang JN, Agrawal AK, Samali B, Wu JC. A benchmark problem for response control of wind-excited tall buildings. Journal of Engineering Mechanics 2004; 130:437-446.
13. Spencer Jr. BF, Christenson RE, Dyke SJ. Next generation benchmark control problems for seismically excited buildings. Proceedings of the 2nd World Conference on Structural Control, vol. 2, 1999; 1135-1360.
14. Ohtori Y, Christenson RE, Spencer Jr. BF, Dyke SJ. Benchmark control problems for seismically excited nonlinear buildings. Journal of Engineering Mechanics 2004; 130:366-385.
15. Wu JC, Chih HH, Chen CH. A robust control method for seismic protection of civil frame building. Journal of Sound and Vibration 2006; 294:314-328.
16. Samali B, Al-Dawod M. Performance of a five-storey benchmark model using an active tuned mass damper and a fuzzy controller. Engineering Structures 2003; 25:1597-1610.
17. Al-Dawod M, Samali B, Li J. Experimental tests on a five-story model using an active mass driver system and a fuzzy controller. Structural Control and Health Monitoring 2006; 13:917-943.
18. Boffa J. Model reduction of large structural systems for active vibration control. Master Thesis, University of Technology, Sydney, 2005.
19. Li QS. Reduced order control for wind-induced vibrations of tall buildings. The Structural Design of Tall and Special Buildings 2003; 12:177-190.
20. Ikeda Y, Sasaki K, Sakamoto M, Kobori T. Active mass driver system as the first application of active structural control. Earthquake Engineering and Structural Dynamics 2001; 30:1575-1595.
21. Amde AM, Mirmiran A. A new hysteresis model for steel members. International Journal for Numerical Methods in Engineering 1999; 45:1007-1023.
22. Kawashima K, MacRae GA, Hoshikuma J, Nagaya K. Residual displacement response spectrum. Journal of Structural Engineering 1998; 124(5):523-530.
23. Qu ZQ, Shi Y, Hua H. A reduced-order modelling technique for tall buildings with active tuned mass damper. Earthquake Engineering and Structural Dynamics 2001; 30:349-362.
24. Chilali M, Gahinet P, Apkarian P. Robust pole placement in LMI regions. IEE Transactions on Automatic Control 1999; 44(12):2257-2270.
25. Seto K. Control of vibration in civil structures. Proceedings of the Institution of Mechanical Engineers Part I: Journal of Systems and Control Engineering 2004; 218:515-529.
26. Scherer C, Gahinet P, Chilali M. Multiobjective output-feedback control via LMI optimization. IEEE Transactions on Automatic Control 1997; 42:896-911.
27. Kim JH, Jabbari F. Actuator saturation and control design for buildings under seismic excitation. Journal of Engineering Mechanics 2002; 128:403-412.
28. ∞-based robust control. IEEE Transactions on Mechatronics 2000; 5:23-31.
29. Whorton MS, Calise AJ, Hsu CC. A study of fixed order mixed norm design for a benchmark problem in structural control. Earthquake Engineering and Structural Dynamics 1998; 27:1315-1330.
30. Gahinet P. Explicit controller formulas for LMI-based synthesis. Automatica 1996; 32:1007-1014.