Time-optimal control synthesis for non-linear systems: A flight dynamic example
The determination of optimal closed-loop control (or ‘on line’ control) laws is often referred to in the mathematics literature as the ‘synthesis’ problem. Except for the well-known case of ‘linear dynamics, quadratic criteria’, this problem is still largely unsolved. This paper presents a local approximation technique for time-optimal control synthesis of a class of non-linear systems: specifically, point-to-point aerodynamic flight in a resisting medium. Preliminary computational results are presented, indicating that the approximation technique is feasible.
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