This chapter introduces the ‘Laplace transform’ as a tool for analyzing both the transient and frequency response characteristics of linear feedback control systems. The Laplace transforms operate in the ‘s’ plane giving a unique insight into the contributions that each element in the control loop makes to the overall response. Once in the ‘s’ domain, it becomes easy to generate mathematical solutions for the response of a system by obtaining the product of the stimulus and the system Laplace transforms and, with the help of partial fractions, converting the result back into the time domain. Root locus involves working in the ‘s’ plane and therefore the system transfer functions are defined by their Laplace transforms.
Introduction to Laplace Transforms
2006-09-22
40 pages
Aufsatz/Kapitel (Buch)
Elektronische Ressource
Englisch
Tables of Fourier and Laplace Transforms
AIAA | 1997
|An approximation for inverse Laplace transforms
NTRS | 1981
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