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A braking resistor is used to improve the transient stability of a one-machine, infinite-busbar system. The minimum-angle and minimum-norm aiming strategies are used to provide explicit feedback solutions to the control problem. Several choices of the aim state are proposed. Simulation results show that both these methods result in an improvement of the critical clearing time, and that they result in a more desirable state trajectory than simple on/off control based on angular-velocity measurements. The sensitivity of the control strategies to inaccurate angle information is discussed.