First, write out the system’s gain, zero vector, and pole vector, then call zp2ss() to obtain the four matrices of the state-space model. Next, use lsim() to generate the system’s response curve and observe the system’s performance. % Convert zero-pole-gain model to state-space model %[A,B,C,D]=tf2ss(Z,P,K)% state-space model matrices: A,B,C,D % zeros: Z % poles: P … Read more
Typically, the test signals for input systems include step functions, ramp functions, acceleration functions, and sine functions, but a custom function can also be specified. num1=[1 2];den1=[2 3 4];t1=0:0.01:10;% step response y1=step(num1,den1,t1);figure(1),plot(t1,y1);% ramp response x2=t1;y2=lsim(num1,den1,x2,t1);figure(2),plot(t1,y2);% acceleration response x3=0.5*t1.*t1;y3=lsim(num1,den1,x3,t1);figure(3),plot(t1,y3);% sine response x4=sin(2*pi*5.*t1);y4=lsim(num1,den1,x4,t1);figure(4),plot(t1,y4);% exponential response x5=exp(0.5*t1);y5=lsim(num1,den1,x5,t1);figure(5),plot(t1,y5);