Q2 A dynamic system is represented by the following differential equation. y" – 10 y' + 9 tan y = u(t) Where u(t) is the input signal and Y(t) is the output with the initial conditions y(0) =-1 and y'(0) = 2. Linearize the system above at equilibrium point at y = 0, u = 0, and obtain the transfer function model of the linearized model. Determine the steady state value (when t approach +0) of the linearized system with the input u(t) = 5t, without solving the linearized differential equation.

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter11: Transient Stability
Section: Chapter Questions
Problem 11.17P
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Q2
A dynamic system is represented by the following differential equation.
y" – 10 y' + 9 tan y = u(t)
Where u(t) is the input signal and Y(t) is the output with the initial conditions
y(0) =-1 and y'(0) = 2.
Linearize the system above at equilibrium point at y = 0, u = 0, and obtain the
transfer function model of the linearized model. Determine the steady state
value (when t approach +o0) of the linearized system with the input u(t) = 5t,
without solving the linearized differential equation.
Transcribed Image Text:Q2 A dynamic system is represented by the following differential equation. y" – 10 y' + 9 tan y = u(t) Where u(t) is the input signal and Y(t) is the output with the initial conditions y(0) =-1 and y'(0) = 2. Linearize the system above at equilibrium point at y = 0, u = 0, and obtain the transfer function model of the linearized model. Determine the steady state value (when t approach +o0) of the linearized system with the input u(t) = 5t, without solving the linearized differential equation.
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