Homework Answers
Matlab Code:
s = tf('s')
sys = tf([1],[1 10 9]);
opts = timeoptions;
opts.Grid = 'on';
subplot(1,2,1)
stepplot(sys,opts)
[A,B,C,D] = tf2ss([1],[1 10 9]) %Convert to state space model
poles=[-4.4+2.374j,-4.4-2.374j];
K1=acker(A,B,poles) %To find controller gains
%Closed loop system with controller
I = eye(2)
Ac = A-(B*K1)
Bc = B
Cc = C
Dc = D
[num1 den1]=ss2tf(Ac,Bc,Cc,Dc)
G = tf (num1, den1)
opts = timeoptions;
opts.Grid = 'on';
subplot(1,2,2)
stepplot(G,opts)
%Modified controller system design with Ts<0.9 as assumed in
part 'a'
poles = [-7.995+6.414j, -7.995-6.414j]
K2=acker(Ac,Bc,poles)
Am = Ac-(B*K2)
Bm = Bc
Cm = Cc
Dm = Dc
[num2 den2]=ss2tf(Am,Bm,Cm,Dm)
M = tf (num2, den2)
Add Answer to:
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