I need accurate answer without using automation tools or plagairised answers 1223. How does coordinate transformation affect the control of integrated energy systems?
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Coordinate transformation refers to the process of changing the representation of a point or a vector from one coordinate system to another. This is often used in various fields, including control systems, to simplify calculations or to adapt to different Show more…
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USE MATLAB 7.0.4 Laboratory 2: Modeling of Dynamic Systems We desire to accurately position a table for a machine as shown. A traction-drive motor with a capstan roller possesses several desirable characteristics compared to the more popular ball screw. The traction drive exhibits low friction and no backlash. However, they are susceptible to disturbances. The drive uses a DC armature-controlled motor with a capstan roller attached to the shaft. The drive bar moves the linear slide-table. The slide uses an air bearing, so its friction is negligible. Table CDP2.1 Typical Parameters for the Armature-Controlled DC Motor and the Capstan and Slide: M - Mass of slide: 5.693 kg Mb - Mass of drive bar: 6.96 kg Jm - Inertia of roller, shaft, motor, and tachometer: 10.9110 kg m Roller radius: 31.7510 m bm - Motor damping: 0.268 N ms/rad K - Torque constant: 0.8379 N m/amp Kb - Back emf constant: 0.838 V s/rad Rm - Motor resistance: 1.36 Ω Lm - Motor inductance: 3.6 mH Traction drive motor and capstan roller: 1. Develop the mathematical model for the drive relating the displacement x to the applied voltage V. 2. Draw a block diagram describing the functional behavior of the drive. 3. Use the given parameters to compute the transfer function of each block. 4. Compute the transfer function Gs = Xs/Vs. 5. Compute the transfer function of G1 = s/Vas. 6. Find the open-loop step response for the transfer function Gl using an appropriate time scale. 7. Plot the results and measure the time rise, peak time, peak value, settling time, and final value if applicable. 8. If the electric time constant (Lm/Rm) is negligible, compute the simplified transfer function G1* by setting Lm = 0. 9. Find the open-loop step response for the transfer function G1*. Plot the results and measure the time rise, peak time, peak value, settling time, and final value if applicable. 10. Tabulate and compare the results as appropriate. Report: 11. Include the free body diagram and the mathematical model (differential equations). 12. Include the block diagrams for Gs, G1s, and G1*. 13. Include all of the MATLAB code you used and the resultant output data and figures.
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