What is the smallest attainable

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Reference no: EM133187636

Frequency domain control design methods

Problem: Let G be a plant with the transfer function G.s/ D 1=.s - 1/. The goal is to stabilize it with minimum control effort, measured by a size of the control sensitivity transfer function, T_c(s) = R(s)/1 - G(s)/R(s).

Question 1. What is the smallest attainable ||Tc||_∞ What controller R(s) attains it?

Question 2. Assume that the bound |T_c (jω)| ≤ 1 has to be met for all ω > ω₀ for some ω₀ > 0. What is the lower bound on ||T_c||_∞ in this case ? Plot this bound as a function of ω₀.

Question 3. Construct generalized plants for the standard H_∞ problem corresponding to the problems in items 1 and 2.

Reference no: EM133187636

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