polezero4

# polezero4 - Free Forced Responses Free Response(u(t = 0...

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Slide 1 ME 475 Session 4: Transfer Functions, Poles, and Zeros Galen King Purdue University Free & Forced Responses Free Response ( u ( t ) The response of a system to zero input and nonzero initial conditions . Can be obtained by Let u ( t ) = 0 and use LT and ILT to solve for the free response. Forced Response ( zero ICs & nonzero u ( t ) ) The response of a system to nonzero input and zero initial conditions . Can be obtained by Assume zero ICs and use LT and ILT to solve for the forced response (replace differentiation with s in the I/O ODE).

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Slide 2 ME 475 Session 4: Transfer Functions, Poles, and Zeros Galen King Purdue University Transfer Function Given a general nth order system model: The forced response (zero ICs) of the system due to input u ( t ) is: Taking the LT of the ODE :
Slide 3 ME 475 Session 4: Transfer Functions, Poles, and Zeros Galen King Purdue University Poles and Zeros Poles The roots of the denominator of the TF, i.e. the roots of the characteristic equation.

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polezero4 - Free Forced Responses Free Response(u(t = 0...

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