Meeting w3 chapter 2 part 1

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

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]

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]

Meeting w3 chapter 2 part 1

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Meeting w3 chapter 2 part 1