MECH 466 - Lecture2-LaplaceTransforms-2009W

One definition for a function ft ft0 for t0

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Unformatted text preview: course! One Definition: For a function f(t) (f(t)=0 for t<0), Definition: f(t) (f(t)=0 Design specs Root locus Frequency domain (s: complex variable) f(t) f(t) PID & Lead-lag LeadDesign examples 0 t F(s) F(s) We denote Laplace transform of f(t) by F(s). We f(t) F(s). Matlab simulations & laboratories 2008/09 MECH466 : Automatic Control 3 2008/09 MECH466 : Automatic Control 4 1 Advantages of s-domain Examples of Laplace transform We can transform an ordinary differential We equation into an algebraic equation which is easy to solve. (Next lecture) It is easy to analyze and design interconnected It (series, feedback etc.) systems. (Throughout the course) Frequency domain information of signals can be Frequency dealt with. (Lectures for frequency responses: after midterm) Unit step function Unit f(t) f(t) 1 t 0 (Memorize this!)...
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