Me330 lecture2

ME 330 Control Systems SP 2011 Lecture 2

Complex Numbers ,[object Object],[object Object],[object Object]

Laplace Transform ,[object Object],[object Object],[object Object],[object Object],[object Object]

Common Functions 1 ,[object Object],[object Object],not defined at t = 0

Common Functions 2 ,[object Object],[object Object],Euler Formula

General Functions ,[object Object]

Properties of Laplace Transform ,[object Object],[object Object],[object Object]

Laplace Tables ,[object Object],[object Object]

Usefulness of Laplace Transform ,[object Object],[object Object],f(t) Inputs Outputs

Example Process ,[object Object],Step 2) Transform f(t) to F(s) Step 1) Represent the system differential equation in Laplace domain “transfer function” Step 3) Multiply “transfer function” with Laplace domain input F(s) Step 4) Solve for time-domain response with inverse Laplace transform f(t)

Laplace Domain Mathematical Framework ,[object Object],[object Object],[object Object],[object Object],[object Object]

Next Lecture ,[object Object],[object Object],[object Object]

Me330 lecture2

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Me330 lecture2