Título: Systems and signals. Formalism
Descripción automática: In this video, a professor from the Polytechnical University of Valencia in Spain leads a course on Dynamics and Control, focusing on the formal representation of system models and signals. He introduces the concept of using compact forms for continuous time signals, mentioning the importance of parameters such as magnitude, frequency, and phase. The professor explains the Laplace transform as a tool to convert time signals into Laplace variable representations, emphasizing its bi-univocal nature and applicability to exponential functions.
The professor also touches on discrete time signals and their representation as sequences, introducing the z-transform and delay operator for compact expression. Further, he presents a simple algorithm as an example of system modeling and discusses transfer functions to describe systems, using a tank system and an electric circuit as illustrations.
Then, the professor delves into dynamic system properties, elucidating the Laplace transform's features, including linearity and uniqueness, as well as algebraic representation of differential equations. He also explains how to experimentally model systems using Z-transforms of inputs and outputs, and how to combine systems using transfer functions, including series, parallel, and loop arrangements.
The video concludes with a classification of systems by types of signals and system properties, such as linearity, dynamic behavior, and time-variance. The professor contrasts black box and white box modeling approaches. Lastly, he shares a historical note on the steam engine governor as an early example of a control system, foreshadowing the next course topic on controlled system properties, focusing on static and dynamic behaviors, sensitivity, and robustness.
Autor/a: Albertos Pérez Pedro
+ Universitat Politècnica de València UPV: www.upv.es
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