OPTIMAL OPEN CLOSED-LOOP CONTROL OF A RAYLEIGH BEAM

optimal 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-loop control.