Simulation Lab 5

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School

Purdue University *

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Course

30800

Subject

Mechanical Engineering

Date

Dec 6, 2023

Type

pdf

Pages

4

Uploaded by GeneralSnow8756

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1. Introduction: The aim is to stabilize the pendulum's vertical motion. The system's parameters and related matrix are calculated first. The pendulum is then balanced upright using a feedback controller that we create. In order to make the pendulum swing up and stable in the vertical position, we finally attach the controller to the system. 2. Results: (a). System Modeling: i. Provide the numerical values of the A and B matrices for the linearized pendulum. ii. Provide the open loop poles of the system.
(b) Balance Control: i. Provide the locations of the four closed loop poles for the system. ii. Provide the control gain matrix K that you calculated. iii. Provide the plots of the arm, pendulum and control input responses that you obtained in the lab (Simulation and Hardware Implementation). Simulation Hardware
iv. Provide Table 5.1. (c) Swing-Up Control: Provide your controller gain μ . Provide the plots of the arm, pendulum and control input responses that you obtained in the lab.
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3. Conclusions: We failed part B a few times. Due to a few small errors in the construction of the Simulink model, we failed on section B, which deals with balancing the pendulum, many times. The parameters were placed in the wrong ranges since we didn't fully comprehend their meaning. We also had the wrong connection on Simulink. At last, we slightly adjusted the parameters, we finally found the perfect number.