complexFreq_inclass

# complexFreq_inclass - Complex Frequency Complex...

This preview shows pages 1–12. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Complex Frequency Complex Representation of Time-Domain Signals Example The s-plane Unit 2: Modeling in the Frequency Domain Part 1: Complex Frequency Engineering 5821: Control Systems I Faculty of Engineering & Applied Science Memorial University of Newfoundland January 16, 2009 ENGI 5821 Unit 2, Part 1: Complex Frequency Complex Frequency Complex Representation of Time-Domain Signals Example The s-plane 1 Complex Frequency 1 Complex Representation of Time-Domain Signals 1 Example 1 The s-plane ENGI 5821 Unit 2, Part 1: Complex Frequency Complex Frequency Consider a typical electrical system: the series RL circuit excited by a DC source. Complex Frequency Consider a typical electrical system: the series RL circuit excited by a DC source. We can develop a DE for this system: Complex Frequency Consider a typical electrical system: the series RL circuit excited by a DC source. We can develop a DE for this system: COVERED ON BOARD Complex Frequency Consider a typical electrical system: the series RL circuit excited by a DC source. We can develop a DE for this system: COVERED ON BOARD L di ( t ) dt + Ri ( t ) = V s Complex Frequency Consider a typical electrical system: the series RL circuit excited by a DC source. We can develop a DE for this system: COVERED ON BOARD L di ( t ) dt + Ri ( t ) = V s The solution for this equation is of the following form: Complex Frequency Consider a typical electrical system: the series RL circuit excited by a DC source. We can develop a DE for this system: COVERED ON BOARD L di ( t ) dt + Ri ( t ) = V s The solution for this equation is of the following form: i ( t ) = A + Be t Complex Frequency Consider a typical electrical system: the series RL circuit excited by a DC source. We can develop a DE for this system: COVERED ON BOARD L di ( t ) dt + Ri ( t ) = V s The solution for this equation is of the following form: i ( t ) = A + Be t Where A , B , and are constants determined from the circuits initial conditions and the DE itself. Complex Frequency Consider a typical electrical system: the series RL circuit excited by a DC source. We can develop a DE for this system: COVERED ON BOARD L di ( t ) dt + Ri ( t ) = V s The solution for this equation is of the following form: i ( t ) = A + Be t Where A , B , and are constants determined from the circuits initial conditions and the DE itself. Note that the response has two components: Complex Frequency Consider a typical electrical system: the series RL circuit excited by a DC source. We can develop a DE for this system: COVERED ON BOARD L di ( t ) dt + Ri ( t ) = V s The solution for this equation is of the following form: i ( t ) = A + Be t Where A , B , and are constants determined from the circuits initial conditions and the DE itself....
View Full Document

## This note was uploaded on 09/07/2009 for the course ENGINEERIN 5821 taught by Professor Andrewvardy, during the Spring '09 term at Memorial University.

### Page1 / 96

complexFreq_inclass - Complex Frequency Complex...

This preview shows document pages 1 - 12. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online