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Meeting w3 chapter 2 part 1

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Chapter 2 Analog Control System Eddy Irwan Shah Bin Saadon Dept. of Electrical Engineering PPD, UTHM [email_address] 019-7017679
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object]
2. What is Laplace Transform? ,[object Object],[object Object],Time Domain Frequency Domain Differential equations Input q(t) Output h(t) Algebraic equations Input Q(s) Output H(s) Calculus Algebra Laplace Transformation Inverse Laplace Transformation
Laplace Transform (cont.) ,[object Object],[object Object],[object Object],[object Object],[object Object]
Definition of the Laplace Transform ,[object Object],[object Object],L L -1
Laplace Theorem
Laplace Table
Example 1 ,[object Object],Solution:
Example 2 ,[object Object],Solution:
Example 3 ,[object Object],Solution: Expanding F(s) by partial fraction: Where, Then, taking the inverse Laplace transform
Example 4 ,[object Object],[object Object],Solution: Substitute the corresponding F ( s ) for each term: Solving for the response: Where, K 1 = 1 when s=0 K 2 =-2 when s=-4 K 3 = 1 when s=-8 Hence
3. Common Time Domain Input Functions ,[object Object]
[object Object],cont.
[object Object],cont.
4. Transfer Function ,[object Object],[object Object],[object Object],[object Object],[object Object]
TF of Linear Time Invariant Systems ,[object Object],[object Object],c(t) is output r(t) is input
cont. ,[object Object],[object Object],[object Object]
cont. ,[object Object],[object Object]
Block Diagram of Open Loop System
Block Diagram of Closed Loop System
Example 1 ,[object Object],[object Object],[object Object],[object Object]
Example 2 ,[object Object],[object Object],[object Object],[object Object],[object Object]
Example 3 ,[object Object],[object Object]
Example 4 ,[object Object],[object Object]
Example 5 ,[object Object],[object Object]

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