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Chapter: Control Systems - Stability and Compensator Design

Stability

A system is stable if any bounded input produces a bounded output for all bounded initial conditions.

Stability

 

A system is stable if any bounded input produces a bounded output for all bounded initial conditions.



Basic concept of stability



Stability of the system and roots of characteristic equations



Characteristic Equation

Consider an nth-order system whose the characteristic equation (which is also the denominator of the transfer function) is

 

a(S) = Sn+a1 Sn-1+ a2 Sn-2+……+ an-1 S1+ a0 S0

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