On-Off Control With Specified Fuel Usage

Abstract

A method for generating on-off command profiles for flexible systems is presented. The command profiles move a system without residual vibration while using a specified amount of actuator fuel. Robustness to modeling errors can be incorporated into the design of the command signals. Techniques are presented that facilitate implementation and indicate prudent choices for the amount of fuel to be used. The method is compared to other command generation techniques that balance fuel usage and slew time.

Command shaping for flexible systems: A review of the first 50 years

“…100 Other methods use a weighting function between move speed and fuel usage, [101][102][103][104] or simply allow the command designer to specify the amount of fuel that is to be used for any particular move. 105 All of these methods can be formulated by simply changing the impulses magnitudes in the input shaper. For example, Figure 14 shows how an input shaper with amplitudes of ±1 can generate a command profile that has periods of coasting.…”

Input shaping design using sequential linear programming (SLP) for non-linear systems

“…The simplest Input Shapers for linear systems have been derived in closed form [1], however, nonlinear programming is necessary for solving the multi-hump input shaper and switching controllers which minimize maneuver time, fuel consumed etc. [2]- [4]. Recently, Driessen [5] proposed a technique which used linear programming to design Fuel constrained time-optimal control profiles for linear systems, which are close to the globally optimal solution.…”

Closed-Form Specified-Fuel Commands for Two-Mode Systems

“…Furthermore, the optimized solutions may use a significant amount of actuator fuel that is expensive to carry into space. To reduce fuel consumption, previous methods have produced fuel-minimum profiles [9], fuel efficient [10], specified-fuel [11], and fuel/time optimal commands [12]- [14].…”