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Exercise 2 1. Consider a nominal plant P (s) = 1 s+ 1 . and a set of perturbed models Π = {P̃ : P̃ = (1 + w∆)P, ∆ ∈ H∞, ∥∆∥∞ ≤ 1} in which w = 0.125s+ 0.25 (0.125/4)s+ 1 . Find the extreme parameter values in each of the plants (a) - (g) below so that each plant belongs to the set Π. All parameters are assumed to be positive. (a) Neglected delay: find the largest θ for Pa = Pe−θs; (b) Neglected la
https://www.control.lth.se/fileadmin/control/Education/DoctorateProgram/RobustControl2025/ExercisePDF/Exercise2.pdf - 2025-12-16
