Fuel consumption in optimal control

Abstract

This paper treats the fuel optimal control of dynamic systems based on three cost functions. The three cost functions are a saturation condition, pesudofuel, and absolute fuel. They lead to bang-bang control, continuous control, and impulse control, respectively. A comparison of fuel consumption based on absolute fuel reveals that impulse control consumes 35% less fuel than continuous control in the case of controlling a linear damped harmonic oscillator. Impulse control consumes 33% less fuel than continuous control in the case of a rest-to-rest rigid-body maneuver. This result suggests the potential for fuel savings in larger order systems through the implementation of impulsive control strategies.

Approximate solution to the resource consumption minimization problem. I. Construction of a quasioptimal control

“…The resource consumption minimization problem, stated originally as the fuel consumption minimization problem, is of a considerable theoretical and practical interest [1][2][3][4][5][6][7][8][9][10][11]. It is known that its analytical solution is impossible for complicated dynamical systems.…”