Chapter 13. Process Dynamics and Control

Modeling the Dynamics of First- and Second-Order Systems

Concepts Demonstrated

Dynamics of step response for general linear first-order and linear second-order systems. Comparisons of analytical solutions with numerical solutions. Identification and characterization of typical system responses.

Numerical Methods Utilized

Solution of first-order and second-order ordinary differential equations.

Problem Statement[*]

Mathematical descriptions of many processes can be accomplished by models that utilize ordinary differential equations. Control theory often treats these processes as either first-order or second-order systems. Laplace transforms and other methods can be used to obtain solutions to these systems. Most ...

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