Optimal distributed control of transverse vibration of a plate
Authors: Bazezew A.1; Jr J.C.B.2; Sloss J.M.3
Source: Engineering Computations: Int J for Computer-Aided Engineering, Volume 16, Number 6, 1999 , pp. 65-67(3)
Publisher: Emerald Group Publishing Limited
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Abstract:
Distributed control is an effective method for controlling and suppressing excessive vibrations of continuous systems. Optimal distributed control for a plate problem is solved utilizing a maximum principle after the introduction of a quadratic index of performance in terms of displacement, velocity and a control force as well as an adjoint variable. The problem is reduced to solving a system of partial differential equations for the state variable and the adjoint variable subjected to boundary, initial and terminal conditions. A numerical algorithm is presented to solve the optimal distributed control problem in the space-time domain which reduces the computational effort required to solve the initial-terminal-boundary value problem. Results obtained for a simply supported, rectangular, thin plate are also presented.Keywords: Vibration; Space-time domain; Continuous systems; Maximum principle; Optimal control
Language: English
Document Type: Miscellaneous
Affiliations: 1: Department of Mechanical Engineering, Addis Ababa University, Ethiopia 2: Department of Mechanical and Environmental Engineering, University of California, Santa Barbara, USA, and 3: Department of Mathematics, University of California, Santa Barbara, USA
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