A parabolic trough collector can be designed using state-space techniques. For simplicity, pure time delay will be ignored here, although it could be handled in several different ways. Consider the open-loop transfer function (Camacho, 2012):

Design a state feedback controller with integral control to yield zero steady-state error, such that the system transient response results in a damping factor of ζ = 0.5 with a settling time T_s = 200 sec. Simulate the step response of your designed system using a computer program.

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137.2 x 10-K G(s) = s2 +0.0224s + 196 x 10-6