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

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