A photovoltaic system is mounted on a space station in order to develop the power for

Chapter 0, Problem DP12.10

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A photovoltaic system is mounted on a space station in order to develop the power for the station. The photovoltaic panels should follow the Sun with good accuracy in order to maximize the energy from the panels. The system uses a DC motor, so that the transfer function of the panel mount and the motor is G(s) = l s(s + 19)' We will select a controller Gc(s) assuming that an optical sensor is available to accurately track the sun's position, and thus H(s) = 1. The goal is to design Gc(s) so that (1) the percent overshoot to a step is less than 7% and (2) the steadystate error to a ramp input is less than or equal to 1%. Determine the best phase-lead controller. Examine the robustness of the system to a 10% variation in the motor time constant.