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MECH 466 - Lecture4-ModellingofElectricalandMechanicalSystems-2009W

Transfer function from v1 to v2 find c2 c1 r2 r1

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Unformatted text preview: 0 - - i vd Find a transfer function from vi to vo. Find vo(t) Output (t) Find the transfer function! 2008/09 MECH466 : Automatic Control 15 2008/09 MECH466 : Automatic Control 16 4 Course roadmap Modeling Analysis Laplace transform Transfer function Models for systems • electrical • mechanical • electromechanical Linearization Translational mechanical elements Mass Design Time response • Transient • Steady state Spring f(t) f(t) Design specs M Frequency domain f(t) f(t) B f(t) f(t) f(t) f(t) x(t) x(t) f(t) f(t) x2(t) K Root locus Frequency response • Bode plot Damper x1(t) x2(t) x1(t) PID & Lead-lag Lead- Stability • Routh-Hurwitz Routh• Nyquist Design examples Matlab simulations & laboratories 2008/09 MECH466 : Automatic Control 17 Mass-spring-damper system 2008/09 MECH466 : Automatic Control Automobile suspension system automobile K 18 M1 x1(t) B suspension B K1 M f(t) f(t) M2 wheel x(t) x(t) tire f(t) f(t) x2(t) K2 Newton’s law Newton’ By Laplace transform (with zero initial conditions), By (2nd order system) 2008/09 MECH466 : Automatic Control 19 2008/09 MECH466 : Automatic Control 20 5 Automobile suspension system Exercises (Franklin et al.) Quarter car model: Obtain a transfer function Quarter from R(s) to Y(s). R(s) Y(s). Laplace transform with ze...
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