A mixed H2/H∞-based semiactive control for vibration mitigation in flexible structures
In this paper, we address this problem through the design of a semiactive controller based on the mixed H2/H∞ control theory. The vibrations caused by the seismic motions are mitigated by a semiactive damper installed in the bottom of the structure. It is meant by semiactive damper, a device that ab...
| Authors: | , , , , |
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| Format: | article |
| Publication Date: | 2009 |
| Country: | España |
| Institution: | Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya) |
| Repository: | Recercat. Dipósit de la Recerca de Catalunya |
| OAI Identifier: | oai:recercat.cat:10256/2678 |
| Online Access: | http://hdl.handle.net/10256/2678 |
| Access Level: | Open access |
| Keyword: | Control automàtic Enginyeria d'estructures -- Efectes sísmics Enginyeria d'estructures -- Vibració Sincronització Lyapunov, Funcions de Automatic control Lyapunov functions Structural engineering -- Earthquake effects Structural engineering -- Vibration Synchronization |
| Summary: | In this paper, we address this problem through the design of a semiactive controller based on the mixed H2/H∞ control theory. The vibrations caused by the seismic motions are mitigated by a semiactive damper installed in the bottom of the structure. It is meant by semiactive damper, a device that absorbs but cannot inject energy into the system. Sufficient conditions for the design of a desired control are given in terms of linear matrix inequalities (LMIs). A controller that guarantees asymptotic stability and a mixed H2/H∞ performance is then developed. An algorithm is proposed to handle the semiactive nature of the actuator. The performance of the controller is experimentally evaluated in a real-time hybrid testing facility that consists of a physical specimen (a small-scale magnetorheological damper) and a numerical model (a large-scale three-story building) |
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