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filled5 - ME 475 Handouts - Spring 2011 Stability A system...

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ME 475 Handouts - Spring 2011 1 Slide 1 ME 475 Session 5: Stability Galen King Purdue University Stability A system is asymptotically stable provided that its free response decays to zero. Slide 2 ME 475 Session 5: Stability Galen King Purdue University Example 1 pendulum θ L m
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ME 475 Handouts - Spring 2011 2 Slide 3 ME 475 Session 5: Stability Galen King Purdue University Example 2 inverted pendulum θ L m Slide 4 ME 475 Session 5: Stability Galen King Purdue University Systems with Real Poles Y(s) = y(t) = ) b s )( a s ( K ) s ( G - - =
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3 Slide 5 ME 475 Session 5: Stability Galen King Purdue University Systems with Complex Poles ) j s )( j s ( K ) s ( G ϖ - σ - ϖ + σ - = Y(s) = y(t) = Slide 6 ME 475 Session 5: Stability Galen King Purdue University Asymptotic Stability For asymptotic stability, the system transfer function must have poles with exclusively negative real parts. NOTE: poles determine stability; zeros only
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filled5 - ME 475 Handouts - Spring 2011 Stability A system...

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