Active/passive controller synthesis based on H-infinity power flow techniques

Donald J. Leo; Joseph C. Slater

doi:10.1117/12.208846

5 May 1995 Active/passive controller synthesis based on H_infinity power flow techniques

Donald J. Leo, Joseph C. Slater

Proceedings Volume 2442, Smart Structures and Materials 1995: Mathematics and Control in Smart Structures; (1995) https://doi.org/10.1117/12.208846
Event: Smart Structures and Materials '95, 1995, San Diego, CA, United States

Abstract

Comparisons are made between viscoelastic damping and certain types of feedback control. In situations where the sensors and actuators of a feedback control system are collocated, a designer can choose the parameters of the control law to mimic viscoelastic damping. This equivalence is illustrated for a simple mass-spring system and a more complicated finite element. Unfortunately, though, a feedback control law that mimics viscoelastic damping is not very practical because the constant high frequency gain makes it sensitive to unmodeled dynamics. A more practical control law, such as positive position feedback, rolls off at high frequencies, making it less sensitive to dynamics beyond its bandwidth. A finite element for a structure with active-passive members is derived by combining positive position feedback with the Golla-Hughes-McTavish model of viscoelastic damping. A technique based on H_(infinity ) power flow optimal control is introduced as a guideline for designing structural elements that contain both active and passive energy dissipation mechanisms.

Citation Download Citation

Donald J. Leo and Joseph C. Slater "Active/passive controller synthesis based on H_infinity power flow techniques", Proc. SPIE 2442, Smart Structures and Materials 1995: Mathematics and Control in Smart Structures, (5 May 1995); https://doi.org/10.1117/12.208846

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