Answer Happy

a. What is the nonlinear term in the pendulum equation above? b. Very often, you remove the nonlinearity in the plant by linearizing the plant about an operating point. In our case, we will just do a Taylor series expansion for the nonlinearity and disregard the nonlinear terms in the expansion. i. What are the first three terms in the Taylor series expansion of the nonlinearity? ii. What is the linearized version of the simple pendulum equation?
a. What is the nonlinear term in the pendulum equation above? b. Very often, you remove the nonlinearity in the plant by linearizing the plant about an operating point. In our case, we will just do a Taylor series expansion for the nonlinearity and disregard the nonlinear terms in the expansion. i. What are the first three terms in the Taylor series expansion of the nonlinearity? ii. What is the linearized version of the simple pendulum equation?