ENGR 315Mathematical Models of Systems1 – A control system to adjust orientation of a space satellite shown below. Determine a second-order model, for the second-order system. Using the second-order, select a gain K so that the percent overshoot t is less than 15% and the steady-state error to a step is less than 12%. Verify your design by determining the actual performance of the third-order system. Use Simulink to verify the performance of both systems.ReportENGR 315MATLAB / SIMULINK - Laboratory # 4Mathematical Models of SystemsObjectives:Study the performance of Feedback Control Systems. Effects of a third pole on the second-order system response. Equipment:Computer Lab PCResources:1 - Modern Control Systems, Dorf and Bishop2 - Modern Control Systems - Analysis and Design, Bishop3 - MATLAB Control System Toolbox4 - Class NotesExperiments:1 – A control system to adjust orientation of a space satellite shown below. Determine a second-order model, for the second-order system. Using the second-order, select a gain K so that the percent overshoot t is less than 15% and the steady-state error to a step is less than 12%. Verify your design by determining the actual performance of the third-order system. Use Simulink to verify the performance ofboth systems.2 – Consider the following control system. Show that the expected percentage overshoot of the closed-loop system response to a unit step is about 50%. Using MATLAB/Simulink, plot the unit step responseof the closed-loop system and estimate the percentage overshoot from the plot. Compare the results, explain differences.ReportSummarize your observations and attach relevant MATLAB scripts, Simulink diagrams and plots.Report due next laboratory
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