How to design a phase-lead compensator

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Reference no: EM13227099

A unity feedback position control system has a plant,

\(G(s) = \frac{10}{s(s + 1)}\)

It is desired to have the damping ratio, zeta = 0.5 and natural frequency, omega_n = 3 rad/sec. Design a phase-lead compensator by:

(a). placing the compensator or zero on the real axis right under the desired closed-loop pole.

(b). placing the compensator or zero such that it will cancel the open-loop pole at -1. For both compensators you design, show the corresponding closed-loop transfer functions and compare the transient responses (P.O. and Ts). Also, compare the steady-state errors when a unit ramp input is applied to the system.

Reference no: EM13227099

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