Problem 3Consider a system 1 2001 u, y = [100] 00 0 a) Design a full-order estimator. Assume that the desired estimator poles to be at s₁ = -1, 82=-1, and 83=-1. Determine the dynamics equation of the estimator. Use MATLAB to verify your results. b) Redesign a reduced-order estimator such that the desired estimator poles to be at s₁ = -1 and $21. Determine the dynamics equation of the estimator. Use MATLAB to verify your results.