Question C1. Root Locus Design A position control system is connected in a closed-loop feedback 2 65 +4.652 + 2.645 +0.3

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Question C1 Root Locus Design A Position Control System Is Connected In A Closed Loop Feedback 2 65 4 652 2 645 0 3 1 (54.17 KiB) Viewed 34 times

Question C1. Root Locus Design A position control system is connected in a closed-loop feedback 2 65 +4.652 + 2.645 +0.34 Gain output % define the system % insert your code here % G = a) Determine the maximum value of the gain (K) that will make the closed loop system stable % K Marks 4 % ignore this code, it is used when marking your script AddMark = 4; Mark - Mark +AddMark; b) Add an integrator Alongside the gaink you have determined at point a) add an integrator on the open-loop branch of the system 2 65 +4.632 +2.64s +0.34 S output Find a value of the gain that will make the system respond with a settling time smaller than 60s and an overshot under 20% Export the compensator in MATLAB under the name Comp % Comp
In order to achieve this you will need to • add the design requirements in Root Locus editor and Step response, marks 5 • tune the response until you achieve the design requirements, marks 5 • do not forget to save the design and the session and upload it to the assignement handler Marks 10 % ignore this code, it is used when marking your script AddMark = 10; Mark = Mark +AddMark; Question C2. Block diagram algebra Determine the simplest form of the equivalent transfer function for the diagram shown in the figure below $+1 xt G1 S. 1 Step 1 s+3 G3 у 1 $+2 G2 - 3+1 2s +3 G4 Use "minreal" function if needed. % If you use MATLAB insert your code here. If you chose to calculate it % outside MATLAB, insert your final answer. % Marks 5 % ignore this code, it is used when marking your script AddMark Mark = Mark +AddMark; = 5;
Question C3. Relation between poles and time response The poles of a system are: p1 = -2.75+1i*6; p2 = -2.75-1i*6; Estimate the a) Settling time % insert your code or your final value here as Ts = ... b) Peak time % insert your code or your final value here as Tp c) Overshot % insert your code or your final value here as os Marks 6 % ignore this code, it is used when marking your script AddMark 6; Mark - Mark +AddMark;