Stability and types of stability

Stability and types of stability

1. When it comes to designing a control system, we must be able to predict the behavior of the system from a knowledge of its components

   • And the most important characteristic of the dynamic behavior control of a system is absolute stability
     • But, what is absolut stability? Well in short it means wheter a system is stable or unstable in a equilibrium state

2. A control system is in equilibrium if, in the absence of any disturbance or input the output stays in the same state

3. A linear time invariant control system is critically stable if oscilations of the output continue forever

   • And it is stable if the output eventualy converges to its equilibrium state when it's subjected to an initial condition

4. In designing a control system it's requiered that the system needs to be stable. Futhermore, it is necesary that the system have adequte relative stability

   • But, what is relative stability and why it's so important? that's because relative stability will tell you, if your system is stable, by how much can you increase the gain of the system or the phase lag of the system before it becomes unstable.

5. Marginal stable system, a marginal stable system is when one or some poles are in the imaginary part on the cartesian plane that correlates frequency and the real part.

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