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Determining the Transfer Function and Analyzing Time Response of First Order Systems, Lecture notes of Control Systems

Ahsanullah University of Science & Technology Control Systems

The objectives and theory behind determining the transfer function of first order systems, representing it in matlab, observing time response, and analyzing transient response. First order circuits, such as rl and rc circuits, are discussed, with a focus on their voltage and current descriptions by first order differential equations. The time response of these circuits includes a transient period and a steady state condition, caused by elements within the plant that cannot respond instantly, such as capacitance.

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Uploaded on 10/18/2018

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Download Determining the Transfer Function and Analyzing Time Response of First Order Systems and more Lecture notes Control Systems in PDF only on Docsity! Objectives: 1. To determine the Transfer Function of 1st order system. 2. To represent Transfer Function in MATLAB. 3. To observe the time response of those 1st order systems. 4. Determine the transient response of those systems. Theory: First Order Circuits: RL and RC circuits are called first order circuits because their voltage and currents are described by first order differential equations. Time response of 1st order circuits: • A transient period which occurs immediately the input changes and during which the system seems to be dominated by something other than the input. • A steady state condition which is reached after the transient has died out. The system seems to have settled down to the influence of the input. The transient situation is produced by elements within the plant which cannot respond instantly. Capacitance in an electrical system that store energy so it takes time to change the voltage across a capacitor.

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