Lecture Notes (7)

3 4 why linearization how to linearize it real systems

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Unformatted text preview: superposition. 3 4 Why linearization? How to linearize it? Real systems are inherently nonlinear. (Linear Real systems do not exist!) Ex. f(t)=Kx(t), v(t)=Ri(t) Ex. TF models are only for linear time-invariant (LTI) TF systems. Many control analysis/design techniques are Many available for linear systems. Nonlinear systems are difficult to deal with Nonlinear mathematically. Often we linearize nonlinear systems before Often analysis and design. How? Nonlinearity can be approximated by a linear Nonlinearity function for small deviations around an operating point Use a Taylor series expansion Use Linear approximation New coordinate Nonlinear function Operating point 5 Linearization 6 Old coordinate Linearization (c...
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