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Controlexp4 - Akrit

The document outlines a procedure to extract the transfer function of mechanical systems using MATLAB R2024b and Simulink. It details the steps for creating a model, assembling components, setting parameters, and running simulations to analyze system behavior. The conclusion emphasizes the importance of transfer functions in simplifying the analysis of mechanical systems by converting differential equations into algebraic forms.

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Ayush Gautam
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27 views5 pages

Controlexp4 - Akrit

The document outlines a procedure to extract the transfer function of mechanical systems using MATLAB R2024b and Simulink. It details the steps for creating a model, assembling components, setting parameters, and running simulations to analyze system behavior. The conclusion emphasizes the importance of transfer functions in simplifying the analysis of mechanical systems by converting differential equations into algebraic forms.

Uploaded by

Ayush Gautam
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Download as PDF, TXT or read online on Scribd
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‭Aim:‬‭To extract the transfer function of mechanical systems from Simulink and model linearizer.

‭Software:‬‭MATLAB R2024b.‬

‭ heory:‬‭A‬ ‭transfer‬ ‭function‬ ‭is‬ ‭a‬ ‭mathematical‬ ‭tool‬ ‭used‬ ‭to‬‭describe‬‭the‬‭relationship‬‭between‬‭the‬‭input‬


T
‭and‬ ‭output‬‭of‬‭a‬‭linear‬‭time-invariant‬‭(LTI)‬‭system‬‭in‬‭the‬‭Laplace‬‭domain.‬‭It‬‭plays‬‭a‬‭key‬‭role‬‭in‬‭control‬
‭system‬ ‭analysis‬ ‭and‬ ‭signal‬ ‭processing,‬ ‭helping‬ ‭engineers‬ ‭model‬ ‭and‬ ‭design‬ ‭systems‬ ‭effectively.The‬
‭transfer‬ ‭function,‬ ‭symbolized‬ ‭as‬ ‭G(s),‬ ‭represents‬ ‭the‬ ‭ratio‬ ‭of‬ ‭the‬ ‭Laplace‬ ‭transform‬ ‭of‬ ‭the‬ ‭system's‬
‭output Y(s) to that of its input U(s), assuming zero initial conditions.‬
‭ rocedure:‬
P
‭1.Launch‬ ‭Simulink:‬‭Open‬ ‭MATLAB,‬ ‭navigate‬ ‭to‬ ‭Simulink,‬ ‭and‬ ‭create‬ ‭a‬ ‭new‬ ‭model‬ ‭for‬ ‭your‬
‭simulation.‬
‭2.Add‬‭Components‬‭to‬‭the‬‭Model‬‭:Use‬‭the‬‭Library‬‭Browser‬‭to‬‭include‬‭the‬‭following‬‭essential‬‭blocks‬‭in‬
‭your model:‬
‭Constant Block (for input signal)‬
‭Simulink-PS Converter (to bridge Simulink signals with the physical system)‬
‭Current Source‬
‭Resistor‬
‭Inductor‬
‭Scope‬
‭Solver Configuration (to define simulation parameters).‬
‭3‬‭.‬‭Assemble the Circuit:‬‭Arrange the blocks to form a series circuit in the following order:‬
‭Constant‬ ‭Block‬ ‭→‬ ‭Simulink-PS‬ ‭Converter‬ ‭→‬ ‭Current‬ ‭Source‬ ‭→‬ ‭Resistor‬ ‭→‬ ‭Inductor‬ ‭→‬ ‭Electrical‬
‭Reference (Ground).‬
‭Connect the Voltage Sensor across the Resistor and Inductor to measure voltage.‬
‭Use a PS-Simulink Converter to link the Voltage Sensor output to a Scope for waveform visualization.‬
‭4.Set‬‭Component‬‭Parameters‬‭:Specify‬‭the‬‭required‬‭values‬‭for‬‭current,‬‭resistance,‬‭and‬‭inductance‬‭in‬‭the‬
‭block parameter settings.‬
‭5.Run the Simulation:‬
‭Include‬ ‭the‬ ‭Solver‬ ‭Configuration‬ ‭Block‬ ‭in‬ ‭your‬ ‭model‬ ‭to‬ ‭ensure‬ ‭compatibility‬ ‭with‬ ‭physical‬
‭components.‬
‭Execute the simulation and observe the voltage response on the Scope.‬

‭ imulink Diagram:‬
S
‭1.(a) Using constant Source‬
‭1.(b)Using Step Function‬

‭1.(c)Using sin Wave‬

‭2.‬
‭3.‬

‭ esult:‬
R
‭1.(a)‬

‭1.(b)‬
‭1.(c)‬

‭2.‬

‭3.‬

‭ onclusion:‬‭The‬ ‭transfer‬‭function‬‭in‬‭the‬‭Laplace‬‭domain‬‭simplifies‬‭the‬‭analysis‬‭of‬‭mechanical‬‭systems‬
C
‭by‬ ‭converting‬ ‭differential‬ ‭equations‬ ‭into‬ ‭algebraic‬ ‭equations.‬ ‭It‬ ‭provides‬ ‭a‬ ‭clear‬ ‭relationship‬ ‭between‬
‭input and output, enabling the study of system behavior, stability, and control in dynamic systems.‬

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