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Transfer Function Models of Dynamical Processes

Transfer Function Models of Dynamical Processes Process Dynamics and Control 1. Linear SISO Control Systems General form of a linear SISO control system: this is a underdetermined higher order differential equation the Function must be specified for this ODE to admit a well defined solution 2. Transfer Function Heated stirred-tank model (constant flow, ). Taking the Laplace transform yields: or letting Transfer functions 3. Transfer Function Heated stirred tank example +. +. +. The block is called the Transfer Function relating Q(s) to T(s). 4. Process Control Time Domain Laplace Domain Process Modeling, Transfer Function Experimentation and Modeling, Controller Implementation Design and Analysis Ability to understand dynamics in Laplace and time domains is extremely important in the study of process control 5.

Transfer Function Procedure to obtain transfer function from nonlinear process models Find an equilibrium point of the system Linearize about the steady-state Express in terms of deviations variables about the steady-state Take Laplace transform Isolate outputs in Laplace domain Express effect of inputs in terms of transfer functions

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  Functions, Transfer, Transfer function

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