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• W2111003315 abstract "This paper deals with active optimal vibration attenuation of elastic structures modeled by finite elements. The system’s equations are linear with potentially large numbers of degrees of freedom, whereas the minimized performance index isquadratic. Theproblem isformulated inmodal space so thatthe dimension ofthe problem can belimitedtocontrollingsignificantmodesonly.Theirnumberisconsideredgreaterthanthenumberofindependent discrete actuators, making the system underactuated. The constraints resulting from underactuation are representedbythematrixofconstraints thatcouplesthe modalcontrols. Thismatrix, whichplaysanimportant role in predicting the systems controllability, is obtained by adding a set of dummy actuators. Themodal variables are in turn coupled via second-order nonholonomic constraints, which are satisfied with the help of time-dependent Lagrange multipliers. The optimality equations for the problem are derived in a compact form and solved by applying symbolic differential operators. The procedure, which applies standard finite element and mathematical software, renders the optimal actuation forces and the response of all controlled modes, or any selected degrees of freedom, for the entire control process. Two simulation examples are presented to illustrate the approach’s details and the use of controllability indicators derived from the matrix of constraints." @default.
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• W2111003315 date "2009-12-01" @default.
• W2111003315 modified "2023-09-26" @default.
• W2111003315 title "Analysis and Simulation of Optimal Vibration Attenuation for Underactuated Mechanical Systems" @default.
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• W2111003315 doi "https://doi.org/10.2514/1.40158" @default.
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