AbstractOptimal open/closed‐loop control of a Rayleigh beam relative to a specified performance measure is investigated. A method to suppress the undesired transient beam vibrations is proposed and utilized to obtain numerical results for different problem parameters. With the assumption of a prescribed closed‐loop control law, the Fourier‐type open‐loop optimal control law is derived in closed form through minimization of the performance measure via a calculus‐of‐variations technique. Numerical results presented in graphical form indicate that a feedback control mechanism may be effectively utilized in the presence of an open
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