`` Direct Search'' Solution of Numerical and Statistical Problems
Journal of the ACM (JACM)
A Proposed Hybrid-Computer Method for Functional Optimization
IEEE Transactions on Computers
A hybrid analog-digital parameter optimizer for ASTRAC II
AFIPS '64 (Spring) Proceedings of the April 21-23, 1964, spring joint computer conference
Trajectory optimization using fast-time repetitive computation
AFIPS '66 (Fall) Proceedings of the November 7-10, 1966, fall joint computer conference
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Control and trajectory optimization involves the minimization of a performance index (PI) of integral form where some optimal control law exists in a dynamic system. In this paper, a hybrid minicomputer with an adaptive random-search algorithm implements an iterative search for the optimal control. The search assumes that some initial control is randomly perturbed and a fast analog computer generates respective PI from the analog response of the dynamic system. An improved PI informs the digital computer to utilize the perturbed control as a basis for the next iteration; otherwise a new perturbation replaces the old perturbation in the next iteration. The search terminates when no further improvements occur.