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. A block diagram of the system with an observer and a full state feedback is shown below:
An observer is designed so that the states which are not available for measurement are estimated. The estimated states are then taken as input to the state feedback controller to enable a full state feedback law.
b. The state feedback law is designed via Matlab:
*********** Matlab Code *************
sys = tf(1,[10 1 0]);
[A,B,C,D] = tf2ss(1,[10 1 0]);
p1 = -1-1i;
p2 = -1+1i;
K = place(A,B,[p1 p2])
sys_cl = ss(A-B*K,B,C,D);
step(sys_cl);
grid;
xlabel('Time (sec)')
ylabel('Amplitude (m)')
********* End of Code *****
Output:
K =
1.9000 2.0000
Step response after state feedback:
*****************************************************************
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