Consider the mathematical model of the system given by (ML+ mr) +2mrro (mr + ML) g...

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Consider the mathematical model of the system given by (ML²+ mr²)ö +2mrro (mr + ML) g cos 0 = T mi – mb2r+mg(1 –sin 0) = 0 where 8 and r are angular position of rod and position of mass m respectively. a) Find the state-space model of the system if 0 = x₁, 8 = x₁ = x₂, r = X3, b) Linearize this nonlinear system by using Taylor series expansion. † = X 3 = X4 Consider the mathematical model of the system given by (ML²+ mr²)ö +2mrro (mr + ML) g cos 0 = T mi – mb2r+mg(1 –sin 0) = 0 where 8 and r are angular position of rod and position of mass m respectively. a) Find the state-space model of the system if 0 = x₁, 8 = x₁ = x₂, r = X3, b) Linearize this nonlinear system by using Taylor series expansion. † = X 3 = X4

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To find the statespace model of the given system we need to express the system in the form of firstorder differential equations a Statespace model Lets define our state variables as follows x1 angular ... View the full answer