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RESEARCH PRODUCT
A mixed H<inf>2</inf>/H<inf>&#x221E;</inf>-based semiactive control for vibration mitigation in flexible structures
Brian M. PhillipsHamid Reza KarimiBillie F. SpencerMauricio ZapateiroNingsu Luosubject
EngineeringShock absorberAutomatic controlControl theorybusiness.industryHybrid testingVibration controlStructural engineeringMagnetorheological damperbusinessActuatorDamperdescription
In this paper, we address this problem through the design of a semiactive controller based on the mixed H 2 /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 H 2 /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).
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2009-12-01 | Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference |