Time-optimal control of a third order regulator
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The time-optimal control law as a function of the states for second and third-order linear regulators with real eigenvalues was derived. Notions of a switching curve for the second-order system and switching surface for the third-order system was introduced. A set of states was found which divided the state space into two distinct regions, in one of which the time-optimal control was +1 and in the other of which the time-optimal control was -1. Time-optimal control, Switching curves and surfaces, Linear time-optimal regulator.
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Fleming, Andrew (Monterey, California. Naval Postgraduate School, 2004-12);This thesis considers the problem of time-optimal spacecraft slew maneuvers. Since the work of Bilimoria and Wie it has been known that the time-optimal reorientation of a symmetric rigid body was not the eigenaxis maneuver ...
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Time-Optimal Nonlinear Feedback Control for the NPSAT1 Spacecraft, IEEE-ASME (2005; Monterey, California) Sekhavat, Pooya; Fleming, Andrew; Ross, I. Michael (IEEEASME, 2005-07-24);NPSAT1 is a small satellite being built at the Naval Postgraduate School, and due to launch in January 2006. It uses magnetic actuators and a pitch momentum wheel for attitude control. In this paper, a novel time-optimal ...