LMI-based optimal attenuation of multi-storey building oscillations under seismic excitations

Structural Control and Health Monitoring

Volumn 12, Issue 2, 2005, Pages 213-224

  Balandin, Dmitry V ^a   Kogan, Mark M ^a  

^a LOBACHEVSKY STATE UNIVERSITY OF NIZHNY NOVGOROD   (Russian Federation)

Author keywords

High storey building; Robust H control; Seismic excitation

Indexed keywords

ALGORITHMS; ATTENUATION; DAMPING; ENVIRONMENTAL PROTECTION; OPTIMIZATION; ROBUSTNESS (CONTROL SYSTEMS); SEISMIC PROSPECTING; TALL BUILDINGS;

HIGH-STOREY BUILDINGS; OPTIMIZATION ALGORITHMS; ROBUST H∞-CONTROL; SEISMIC EXCITATIONS;

OSCILLATIONS;

EID: 18844405654     PISSN: 15452255     EISSN: None     Source Type: Journal    
DOI: 10.1002/stc.60     Document Type: Article

References (12)

1. Spencer BF, Sain MK. Controlling buildings: a new frontier in feedback. IEEE Control Systems 1997; 17:19-35.
2. Nishimura H, Kojima A. Seismic isolation control for a buildinglike structure. IEEE Control Systems 1999; 19:38-44.
3. Kogan MM, Balandin DV, Fedukov AA. On limiting control possibilities for a flexible structure. Proceedings of the 3rd World Conference on Structural Control 2003; 2:753-758.
4. Balandin DV, Kogan MM. Minimal suppression level for external perturbations in robust H∞ output control: a computation method. Automation and Remote Control 2003; 64:1760-1768.
5. Iwasaki T, Skelton RE. All controllers for the general H∞ control problem: LMI existence conditions and state space formulas. Automatica 1994; 30:1307-1317.
6. Gahinet P, Apkarian P. A linear matrix inequality approach to H∞ control. International Journal of Robust and Nonlinear Control 1994; 4:421-448.
7. El Ghaoui L, Oustry F, Rami MA. A cone complementarity linearization algorithm for static output-feedback and related problems. IEEE Transactions on Automatic Control 1997; 42:1171-1176.
8. Iwasaki T. The dual iteration for fixed order control. IEEE Transactions on Automatic Control 1999; 44:783-788.
9. Yamada Y, Hara S. Global optimization for H∞ control with constant diagonal scaling. IEEE Transactions on Automatic Control 1998; 43:191-203.
10. Apkarian P, Tuan HD. Robust control via concave minimization local and global algorithms. IEEE Transactions on Automatic Control 2000; 45:299-305.
11. Balandin DV, Kogan MM. An optimization algorithm for checking feasibility of robust H∞-control problem for linear time-varying uncertain systems. International Journal of Control 2004; 77:498-503.
12. 2 and H∞ control problems. IEEE Transactions on Automatic Control 1989; 34:831-847.