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Unformatted text preview: SecondOrder Systems Systems with Additional Poles or Zeroes Unit 3: Time Response, Part 2: SecondOrder Responses Engineering 5821: Control Systems I Faculty of Engineering & Applied Science Memorial University of Newfoundland February 16, 2009 ENGI 5821 Unit 3: Time Response SecondOrder Systems Systems with Additional Poles or Zeroes 1 SecondOrder Systems Characteristics of Underdamped Systems 1 Systems with Additional Poles or Zeroes ENGI 5821 Unit 3: Time Response SecondOrder Systems Systems with Additional Poles or Zeroes Characteristics of Underdamped Systems SecondOrder Systems Secondorder systems (systems described by secondorder DE’s) have transfer functions of the following form: ENGI 5821 Unit 3: Time Response SecondOrder Systems Systems with Additional Poles or Zeroes Characteristics of Underdamped Systems SecondOrder Systems Secondorder systems (systems described by secondorder DE’s) have transfer functions of the following form: G ( s ) = b s 2 + as + b ENGI 5821 Unit 3: Time Response SecondOrder Systems Systems with Additional Poles or Zeroes Characteristics of Underdamped Systems SecondOrder Systems Secondorder systems (systems described by secondorder 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 timedomain signal, but not its form). ENGI 5821 Unit 3: Time Response SecondOrder Systems Systems with Additional Poles or Zeroes Characteristics of Underdamped Systems SecondOrder Systems Secondorder systems (systems described by secondorder 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 timedomain signal, but not its form). Depending upon the factors of the denominator we get four categories of responses. ENGI 5821 Unit 3: Time Response SecondOrder Systems Systems with Additional Poles or Zeroes Characteristics of Underdamped Systems SecondOrder Systems Secondorder systems (systems described by secondorder 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 timedomain 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 SecondOrder Systems Systems with Additional Poles or Zeroes Characteristics of Underdamped Systems SecondOrder Systems Secondorder systems (systems described by secondorder 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 timedomain 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.
 Spring '09
 AndrewVardy,

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