Try to use eigenfunctions to solve please 5. Consider the inverted pendulum in Fig. 1 In this case, the input to the system is the torque x(t) at time texerted by the motor connected to the end of the pendulum. The output y(t) is the angle of the pendulum fromthe vertical line.The following differential equation, describes a linearization for the input-output characterization of such apendulum around = 0 (for simplicity, parameters of the system including pendulum mass, pendulum length,and g are all assumed to be 1):d²y(t) dy(t)+- y(t) = x(t).dt2dtCompute the transfer function H(jw) of this linearized system.y(tx(t)Figure 1: The schematic view of an inverted pendulum system connected to a motor.

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Answered: 5. Consider the inverted pendulum in…

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 11.18P

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