ON OPTIMAL LINEAR CONTROL SYSTEMS WHICH MINIMIZE THE TIME INTEGRAL OF THE ABSOLUTE VALUE OF THE CONTROL FUNCTION (MINIMUM-FUEL CONTROL SYSTEMS)
MASSACHUSETTS INST OF TECH LEXINGTON LINCOLN LAB
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The so-called minimum-fuel optimum control system is examined. One concern is with systems for which the control signal is proportional to fuel, such as fuel exhaust in a missile or gas exhaust from a gas jet in an attitude control system. The total fuel consumed during a control action is proportional to the time integral of the absolute value of each control signal. Given a linear system which is to execute a given task, then one is interested in determining the control signal which requires the least amount of fuel to accomplish the given task. It is assumed that each control signal is bounded in magnitude by unity.
- Operations Research