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MATLAB Assessment Answer
The transfer function model has been provided as underneath.
A typical unity feedbacks block diagram has been indicated as below.
The transfer function
Continuous-
Time transfer function.The closed-loop transfer function is obtained with a proportional control () added. With the reduction of the unity feedback block diagram, what the closed-loop transfer function with a proportional controller turns out is given below
There is rise time decrease of the proportional controller,.
Using 100 and 10 m/s reference speed, the m file is
For now, useequal to 100 and a reference speed of 10 m/s. Create a newm-fileand enter the following commands.
Continuous-time transfer function.
The settling time is determined by stepinfo as the time taken by it for the error between the steady-state responseand the response in coming between 2 percent of. The rise time is also determined by stepinfo as the time taken by it for the response in rising from 10 ofto 90 of. These definitions can be changed with the use of RiseTimeThreshold and SettlingTimeThreshold.
The transfer can be created as follows.
The time taken for the error is computed in sys response in reaching 0.5 of the steady-state response. In doing so, SettlingTimeThreshold is set to 0.005 or 0.5.
The time is computed in taking the response ofsys rising from 5 to 95 of the steady-state value. In doing so, RiseTimeThreshold is set to a vector that contains these bounds.
Both can be determined by the rise time and settling time in the same computation.
A transfer function form of a linear model is extractable into MATLAB from a Simulink model. This is doable by using MATLAB functionlinmod and In1 and Out1 blocks. The Scope Block and the Step Block with an Out1 an In1 block respectively are replicable defining the output and input of the system for the process of extraction.
MATLAB will be extracting from the saved model file with the linear model. The following commands are entered at the MATLAB prompt.
The actual system response does not have the ability of matching the predicted response by the derived expression for a canonical system. However, MATLAB can be used in examining the extent of effect that the zero added has. The following code is generated in examining the effect of compensator circuit on the response of the closed loop level control system