create a pole feedback control in matlab

To create a pole feedback control system in MATLAB, follow these steps:

1. Define the system to be controlled using either transfer function or state-space representation.
2. Determine the desired closed-loop poles of the system. These poles should be chosen based on the desired system performance.
3. Compute the feedback gain matrix using pole placement techniques such as the Ackermann's formula or the place() function in MATLAB.
4. Implement the pole feedback control in MATLAB as a state-space feedback system using the feedback() function.

Here's an example code of implementing pole feedback control in MATLAB:

main.m
%% Define the system to be controlled
A = [0 1; -2 -3];
B = [0; 1];
C = [1 0];
D = 0;

sys = ss(A, B, C, D);

%% Set the desired closed-loop poles of the system
desired_poles = [-1 -2];

%% Compute feedback gain matrix using the place() function
K = place(A, B, desired_poles);

%% Implement the pole feedback control in MATLAB
sys_cl = feedback(sys, K);

%% Plot the step response of the closed-loop system
step(sys_cl);
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In the above code, the function ss() is used to define the system in state-space form. The desired closed-loop poles of the system are set using the desired_poles vector. The place() function is used to compute the feedback gain matrix, K, based on the desired poles. Finally, the feedback() function is used to implement the pole feedback control, and the step response of the closed-loop system is plotted using the step() function.