Question

Consider a system modelled by means of the following transfer function 10 G(s) s(s +1)(s +10) Given the standar negative feedback control structure, and the Bode plot of G(s): 1. Obtain (if possible) a lead compensator controller (C(s) Kc1+ts) that satisfies that the corresponding steady state error with respect to the ramp input is and that the overshoot is not greater than 15 per cent 2. Obtain (if possible) a lead compensator that satisfies that the correspond- ing steady state error with respect to the ramp input is and that the 3. Obtain (if possible) a lead compensator providing a rise time equal to 1 4. Obtain (if possible) a lead compensator leading to the fastest response overshoot is not greater than 15 per cent second and an overshoot not greater than 15 per cent e guaranteeing that (a) The steady state error with respect to a step input is smaller than 1 per cent (b) The phase lead provided by this controller at the crossing frequency is not greater than 75 degrees (c) The resulting overshoot is not greater than 15 per cent. Some helpful expressions: 1-sin($M) 2wc

Answer 1

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