Time-delayed decentralized H∞ controller design for civil structures: A homotopy method through linear matrix inequalities

Proceedings of the American Control Conference

Volumn , Issue , 2009, Pages 4549-4556

  Wang, Yang ^a   Law, Kincho H ^b   Lall, Sanjay ^c  

^a Georgia Institute of Technology   (United States)

^b Stanford University   (United States)

^c 496 Lomita Mall   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CENTRALIZED CONTROL; CENTRALIZED SYSTEMS; CIVIL STRUCTURE; CLOSED-LOOP; COMMUNICATION RANGE; CONTROL DECISIONS; CONTROL DEVICE; CONTROL NETWORK; CONTROLLER DESIGNS; DECENTRALIZED CONTROLLER; DECENTRALIZED CONTROLLER DESIGN; DECENTRALIZED FEEDBACK; DECENTRALIZED H; HOMOTOPIES; HOMOTOPY METHOD; LARGE SCALE STRUCTURES; LMI CONSTRAINTS; NUMERICAL SIMULATION; PERFORMANCE REQUIREMENTS; POINT FAILURE; STRUCTURAL CONTROL; SYSTEM RELIABILITY;

ADAPTIVE CONTROL SYSTEMS; ALGORITHMS; COMPUTER SIMULATION; CONTROLLERS; DECENTRALIZED CONTROL; DELAY CONTROL SYSTEMS; FEEDBACK CONTROL; INTEGRATED CONTROL; LINEAR MATRIX INEQUALITIES; STRUCTURAL DYNAMICS; SWITCHING SYSTEMS;

FEEDBACK;

EID: 70449635497     PISSN: 07431619     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ACC.2009.5160209     Document Type: Conference Paper

References (18)

1. T. T. Soong, Active Structural Control: Theory and Practice. Harlow, Essex, England: Wiley, 1990.
2. B. F. Spencer, Jr. and S. Nagarajaiah, "State of the art of structural control," Journal of Structural Engineering, vol. 129, pp. 845-856, 2003.
3. Y. Wang, R. A. Swartz, J. P. Lynch, K. H. Law, K.-C. Lu, and C.-H. Loh, "Decentralized civil structural control using real-time wireless sensing and embedded computing," Smart Structures and Systems, vol. 3, pp. 321-340, 2007.
4. J. P. Lynch, Y. Wang, R. A. Swartz, K.-C. Lu, and C.-H. Loh, "Implementation of a closed-loop structural control system using wireless sensor networks," Structural Control and Health Monitoring, vol. 15, pp. 518-539, 2008.
5. J. P. Lynch and D. M. Tilbury, "Implementation of a decentralized control algorithm embedded within a wireless active sensor," in Proceedings of the 2nd Annual ANCRiSST Workshop, Gyeongju, Korea, 2005.
6. D. D. Siljak, Decentralized Control of Complex Systems. Boston: Academic Press, 1991.
7. J. G. Chase and H. A. Smith, "Robust H∞ control considering actuator saturation. I: theory," Journal of Engineering Mechanics, vol. 122, pp. 976-983, 1996.
8. C.-C. Lin, C.-C. Chang, and H.-L. Chen, "Optimal H∞ output feedback control systems with time delay," Journal of Engineering Mechanics, vol. 132, pp. 1096-1105, 2006.
9. E. A. Johnson, P. G. Voulgaris, and L. A. Bergman, "Multiobjective optimal structural control of the Notre Dame building model benchmark," Earthquake Engineering & Structural Dynamics, vol. 27, pp. 1165-1187, 1998.
10. J. N. Yang, S. Lin, and F. Jabbari, "H∞-based control strategies for civil engineering structures," Structural Control and Health Monitoring, vol. 11, pp. 223-237, 2004.
11. J. G. Chase, H. A. Smith, and T. Suzuki, "Robust H∞ control considering actuator saturation. II: applications," Journal of Engineering Mechanics, vol. 122, pp. 984-993, 1996.
12. S. Boyd, L. El Ghaoui, E. Feron, and V. Balakrishnan, Linear Matrix Inequalities in System and Control Theory. Philadelphia, PA: SIAM, 1994.
13. Y. Wang, J. P. Lynch, and K. H. Law, "Decentralized H∞ controller design for large-scale wireless structural sensing and control systems," in Proceedings of the 6th International Workshop on Structural Health Monitoring, Stanford, CA, 2007.
14. G. Zhai, M. Ikeda, and Y. Fujisaki, "Decentralized H∞ controller design: a matrix inequality approach using a homotopy method," Automatica, vol. 37, pp. 565-572, 2001.
15. S. Y. Chu, T. T. Soong, and A. M. Reinhorn, Active, Hybrid, and Semi-active Structural Control: a Design and Implementation Handbook. Hoboken, NJ: Wiley, 2005.
16. P. Gahinet and P. Apkarian, "A linear matrix inequality approach to H∞ control," International Journal of Robust and Nonlinear Control, vol. 4, pp. 421-448, 1994.
17. J. G. VanAntwerp and R. D. Braatz, "A tutorial on linear and bilinear matrix inequalities," Journal of Process Control, vol. 10, pp. 363-385, 2000.
18. R. Y. Chiang and M. G. Safonov, MATLAB robust control toolbox, 2 ed. Natick, MA: MathWorks, Inc., 1998.