CHEN 4601 Lecture Notes - Lecture 14: Step Response
2 Oct 2015
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Exam next wednesday, covers material up to friday. Physical examples: 2 first-order systems in series ex: 2 storage tanks w/ linear resistances. Or can take lt of the original eqns. Hooke"s constant k > 0 m = mass of sphere. In the presence of frictional forces time domain form u(t) zeta = damping factor > 0 natural form of oscillation is when damping is 0 s domain form. Looking at 2 1st order systems in series the poles are real it"s an overdamped system (case 1) would be critically damped if tau1 = tau2 (case 2) case 3 happens in mechanical or in controlled systems. Dynamic response: step response --> if zeta > 1, if zeta = 1, these are the overdamped and critically damped cases. Chen4601_processcontrol page 5 goes this way when zeta increases initial slopes are 0 in 1st order systems, initial slope isn"t 0is maximum and then drops to 0.
