Explain the significance of the Laplace transform in control system.

Explain the significance of the Laplace transform in control system.
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Answer :

Significance of Laplace Transform- * Laplace transform convert higher order integral differential equation into simple algebraic form. * Laplace transform converts the differential equation into an algebraic equation in s, which may be real or complex. * Analysis of each component in the system is possible. * It is possible to manipulate the algebraic equation by simple algebraic rules to obtain the solution. * Initial conditions are automatically incorporated. * Both complementary and particular solution can be obtained in one operation, thus gives complete solution. * Allows the use of graphical techniques, for predicting the system performance without actual solving of system differential equations. * Laplace transform convert time domain to frequency domain (s-plane). 
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