Consider the following mathematical model of a physical system + (M + sin()) + (log10...

 

Transcribed Image Text:

Consider the following mathematical model of a physical system ÿ + (M² + sin())ÿ² + (log10 (m) + k)y+√√By = y²u + cos(a)u² Parameter Values Group Number 1 Parameter Values T M = 2,J = 3, m = 100, kr 3,ß = 36, y = 5,α = π = Task 1 [10 points] Linearize the given system after substituting the appropriate parameter values (use u* = B). Write down the corresponding linearized system for each equilibrium point. Convert the linearized system(s) into transfer function Task 2 [4 points] Calculate the poles of the linearized system(s) and determine the stability property. Consider the following mathematical model of a physical system ÿ + (M² + sin())ÿ² + (log10 (m) + k)y+√√By = y²u + cos(a)u² Parameter Values Group Number 1 Parameter Values T M = 2,J = 3, m = 100, kr 3,ß = 36, y = 5,α = π = Task 1 [10 points] Linearize the given system after substituting the appropriate parameter values (use u* = B). Write down the corresponding linearized system for each equilibrium point. Convert the linearized system(s) into transfer function Task 2 [4 points] Calculate the poles of the linearized system(s) and determine the stability property.