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Unformatted text preview: Stability RouthHurwitz Criterion Unit 5: Stability Engineering 5821: Control Systems I Faculty of Engineering & Applied Science Memorial University of Newfoundland March 25, 2009 ENGI 5821 Unit 5: Stability Stability RouthHurwitz Criterion 1 Stability 1 RouthHurwitz Criterion Special Case: Zero in First Column Special Case: Row of Zeros Stability Design Example ENGI 5821 Unit 5: Stability Stability System stability can be defined w.r.t. the stability of the natural response, or of the total response (natural + forced). Stability System stability can be defined w.r.t. the stability of the natural response, or of the total response (natural + forced). Stability of the natural response: Stability System stability can be defined w.r.t. the stability of the natural response, or of the total response (natural + forced). Stability of the natural response: If the natural response approaches 0 as t → ∞ the system is stable . Stability System stability can be defined w.r.t. the stability of the natural response, or of the total response (natural + forced). Stability of the natural response: If the natural response approaches 0 as t → ∞ the system is stable . Stability System stability can be defined w.r.t. the stability of the natural response, or of the total response (natural + forced). Stability of the natural response: If the natural response approaches 0 as t → ∞ the system is stable . If the response approaches ∞ the system is unstable . Stability System stability can be defined w.r.t. the stability of the natural response, or of the total response (natural + forced). Stability of the natural response: If the natural response approaches 0 as t → ∞ the system is stable . If the response approaches ∞ the system is unstable . If the natural response remains constant or oscillates the system is marginally stable . Stability System stability can be defined w.r.t. the stability of the natural response, or of the total response (natural + forced). Stability of the natural response: If the natural response approaches 0 as t → ∞ the system is stable . If the response approaches ∞ the system is unstable . If the natural response remains constant or oscillates the system is marginally stable . Stability System stability can be defined w.r.t. the stability of the natural response, or of the total response (natural + forced). Stability of the natural response: If the natural response approaches 0 as t → ∞ the system is stable . If the response approaches ∞ the system is unstable . If the natural response remains constant or oscillates the system is marginally stable . Stability of the total response. Sometimes referred to as boundedinput, boundedoutput (BIBO) stability: Stability System stability can be defined w.r.t. the stability of the natural response, or of the total response (natural + forced)....
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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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