Transcription of Systems Analysis and Control
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Systems Analysis and Control
Systems Analysis and ControlMatthew M. PeetArizona State UniversityLecture 21: Stability Margins and Closing the LoopOverviewIn this Lecture, you will learn:Closing the Loop Effect on Bode Plot Effect on StabilityStability Effects Gain Margin Phase Margin BandwidthEstimating Closed-Loop Performance using Open-Loop Data Damping Ratio Settling Time Rise TimeM. PeetLecture 21: Control Systems2 / 31 ReviewRecall: Frequency ResponseInput:u(t) =Msin( t+ )Output:Magnitude and Phase Shifty(t) =|G( )|Msin( t+ + G( ))02468101214161820 2 1 Simulation ResultsTime (sec)AmplitudeFrequency Response tosin tis given byG( )M.
Figure :Unity Feedback M. Peet Lecture 21: Control Systems 6 / 31. Closing The Loop On the Bode Plot 20logjG cl({!)j= 20logjG({!)j 20logj1 + G({!)j Which is the combination of The original bode plot The new factor log j1 + G({!) We are most concerned with …
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