CHE 430 Lecture Notes - Lecture 4: Heaviside Step Function, Convolution Theorem, Homogeneous Polynomial
31 Mar 2017
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Document Summary
A model is an abstract knowledge: mathematical, symbolic (picture) or heuristic (operator/engineer skills): applying first principles: mass or molar balance and energy balance (first law of thermodynamics). Steady-state or dynamic state form: collecting input-output data identification modeling process. The transfer function is a mathematical model that relates process input to its output in laplace domain (convolution theorem in t) Roots of n(s): zeros and roots of p(s): poles. 0 dt s is a complex number: j s. Laplace transform in process control is that it transforms differential equations into an algebraic model. Laplace transforms of some special functions are: dirac / impulse function (t): 0 time t: unit step function u(t): 10: heavi-side function or a pulse of height h and width t. Finding time responses from a laplace transform equation. The variation of a level/temperature/concentration in a simple process is:
