Lag and lead compensators are given by transfer functions: where T1, T2 and alph

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Lag and lead compensators are given by transfer functions: where T1, T2 and alpha 1 are design constants. Determine (e.g. show) an algebraic formula of the maximum phase contribution for each compensator, and the frequency where the maximum phase occurs. Sketch the Bode plots of each compensator. Numerically verify the results using MATLAB for constant values where T1= T2=l, and alpha = 0.1,beta = 10. Draw a direct realization diagram (of form 1 or 2) for the lead compensator using gains, summers and integrator elements. An input signal x(t) =1+ sin(0. 1t) + sin(t) + sin(10t) + sin(100t) is applied to each of the compensators. Using the Bode plot, determine the steady-state output of each compensator.. A friend suggests that an opposite type of compensator can be derived from the original one by replacing s with its reciprocal (1/s). What do you think of this idea?

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