Optimal Linear-Quadratic Missile Guidance Laws with Penalty on Command Variability

What is it about?

Missile guidance based on linear quadratic control is obtained by optimizing some integral quadratic cost function of the missile lateral acceleration command. In this paper, we show how it is possible to penalize command variability, next to command size. In this way, it is possible to obtain guidance algorithms that minimize also the magnitude of the jerk, next to the magnitude of the acceleration.

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Why is it important?

Penalizing command variability in addition to command size adds additional flexibility to the guidance design method and, therefore, enables better guidance algorithms.