place

Control design of magnetic levitation system using pole placement technique:

A=[0 1 0; 980 0 -2.8;0 0 -100];  
B=[0;0;100];                      
C=[1 0 0];                        
t = 0:0.01:2;                     %Time Vector
u = zeros(size(t));               %Input vector
x0 = [0.01 0 0];                  %Initial Condition
%-----Closed loop Poles location
p1 = -11 + 10i;
p2 = -10 - 11i;
p3 = -51;
K = place(A,B,[p1 p2 p3])
sys_cl = ss(A-B*K,B,C,0); 
lsim(sys_cl,u,t,x0);       % dynamic system response with arbitrary inputs
xlabel('Time (sec)');
ylabel('Ball Position (m)');
grid;

K = [Matrix] 1 x 3
-288.75357  -7.93214  -0.29000