Matlab: Transform State Space Transfer Function

Berikut ini ialah script MATLAB untuk mengubah dari state space menjadi transfer function.

clear all, close all, clc;

%% State space representation
A = [-11 -18;
    1 0]
% the state matrix

B = [1; 0]
% the input vector

C = [0 1]
% the output vector

D = zeros(size(C,1),size(B,2))
% the feedforward

%% Verify the controllability and observability

Cm = ctrb(A,B)
% Controllability matrix

Om = obsv(A,C)
% Observability matrix

if rank(Cm) == size(A,1)
    'It is controllable'
else
    'It is not controllable'
end

if rank(Om) == size(A,1)
    'It is observable'
else
    'It is not observable'
end

%% Transform into transfer function

[num,den] = ss2tf(A,B,C,D)
sys = tf(num,den)
pole(sys)
% yields
% s = -9
% s = -2

step(sys)
% plot the step response

Berikut ini ialah step response dari sistem tersebut.

Lihat juga tentang.

• Basic PID control.
• Bode plot diagram.
• Transfer function loop shaping.

Kendali state space MATLAB.

• State space controlability and observability.
• Pole-placement.
• Linear-Quadratic Regulator.
• Bode plot diagram state space.

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