2. Math review

2. Math review - Introduction to Controls JIN KANG Preview...

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Introduction to Controls JIN KANG
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Preview Next 3 lectures, will review math that gets used frequently in controls Classical controls in particular (as to modern controls) Classical : frequency or Laplace domain Modern : state space Contents Complex number notation Ordinary differential equation Laplace transform Linear algebra (not as lecture, but will use later)
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Overview Model physical system using physics Get mathematical model in form of differential equation Solve diff eq laborious in time domain Convert from ‘t’ to ‘s’ domain using L (Laplace transform) Advantages of working in s domain Graphical techniques for analyzing system performance WITHOUT solving diff eqs Transient and steady state solved simultaneously
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Complex Numbers and Variables Based on imaginary Our notation uses j, so not to be confused with current, I Has real and imaginary part
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