Stablity analysis in closed loop
The stability of the system is defined by the equation.
VICTOR ANDRES DIAZ ESTRADA_UP170114
MTR08B
DIGITAL CONTROL
or because of the roots of the characteristic equation
Rules for a stable system
if a single pole is presented in z=1, then the system is critically stable.
zeroes do not affect absolute stabilising.
rules for a stable system for the system to be stable, closed-looppoles or characteristic equation roots must be presented on the z-plane within the unit circle.
methods to test the stability of the system.
Jury stability
stability by Schur-Cohn
Routh stability
Liapunov stability
characteristic equation
P(z)= a0z^4+a1z^3+a2z^2+a3z+a4
Characteristic equation
w= z+1/z-1
P(z)=a0z^n´+a1z^n-1+...~an-1z+an=0