Consider the control system depicted where the plant is a "black box" for which little is known in the way of mathematical models. The only information available on the plant is the frequency response. Design a controller Gc(s) to meet the following specifications: (i) The crossover frequency is between 10 rad/s and 50 rad/s; (ii) The magnitude of Gc(s)G(s) is greater than 20 dB for ω < 0.1 rad/s.