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Stablity analysis in closed loop, MTR08B, mtr, upa, VICTOR ANDRES DIAZ…
Stablity analysis in closed loop
The stability of the system is defined by the equation.
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
characteristic equation
P(z)= a0z^4+a1z^3+a2z^2+a3z+a4
stability by Schur-Cohn
Routh stability
Characteristic equation
w= z+1/z-1
P(z)=a0z^n´+a1z^n-1+...~an-1z+an=0
Liapunov stability
MTR08B
DIGITAL CONTROL
VICTOR ANDRES DIAZ ESTRADA_UP170114
