Time2_inclass - Second-Order Systems Systems with Additional Poles or Zeroes Unit 3 Time Response Part 2 Second-Order Responses Engineering 5821

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Unformatted text preview: Second-Order Systems Systems with Additional Poles or Zeroes Unit 3: Time Response, Part 2: Second-Order Responses Engineering 5821: Control Systems I Faculty of Engineering & Applied Science Memorial University of Newfoundland February 16, 2009 ENGI 5821 Unit 3: Time Response Second-Order Systems Systems with Additional Poles or Zeroes 1 Second-Order Systems Characteristics of Underdamped Systems 1 Systems with Additional Poles or Zeroes ENGI 5821 Unit 3: Time Response Second-Order Systems Systems with Additional Poles or Zeroes Characteristics of Underdamped Systems Second-Order Systems Second-order systems (systems described by second-order DE’s) have transfer functions of the following form: ENGI 5821 Unit 3: Time Response Second-Order Systems Systems with Additional Poles or Zeroes Characteristics of Underdamped Systems Second-Order Systems Second-order systems (systems described by second-order DE’s) have transfer functions of the following form: G ( s ) = b s 2 + as + b ENGI 5821 Unit 3: Time Response Second-Order Systems Systems with Additional Poles or Zeroes Characteristics of Underdamped Systems Second-Order Systems Second-order systems (systems described by second-order DE’s) have transfer functions of the following form: G ( s ) = b s 2 + as + b (This TF may also be multiplied by a constant K , which affects the exact constants of the time-domain signal, but not its form). ENGI 5821 Unit 3: Time Response Second-Order Systems Systems with Additional Poles or Zeroes Characteristics of Underdamped Systems Second-Order Systems Second-order systems (systems described by second-order DE’s) have transfer functions of the following form: G ( s ) = b s 2 + as + b (This TF may also be multiplied by a constant K , which affects the exact constants of the time-domain signal, but not its form). Depending upon the factors of the denominator we get four categories of responses. ENGI 5821 Unit 3: Time Response Second-Order Systems Systems with Additional Poles or Zeroes Characteristics of Underdamped Systems Second-Order Systems Second-order systems (systems described by second-order DE’s) have transfer functions of the following form: G ( s ) = b s 2 + as + b (This TF may also be multiplied by a constant K , which affects the exact constants of the time-domain signal, but not its form). Depending upon the factors of the denominator we get four categories of responses. We will consider the step responses. ENGI 5821 Unit 3: Time Response Second-Order Systems Systems with Additional Poles or Zeroes Characteristics of Underdamped Systems Second-Order Systems Second-order systems (systems described by second-order DE’s) have transfer functions of the following form: G ( s ) = b s 2 + as + b (This TF may also be multiplied by a constant K , which affects the exact constants of the time-domain signal, but not its form)....
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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.

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Time2_inclass - Second-Order Systems Systems with Additional Poles or Zeroes Unit 3 Time Response Part 2 Second-Order Responses Engineering 5821

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