Howtosignalprocessing
Marginal Stability A system with poles in the open left-half plane (OLHP) is stable. If the system transfer function has simple poles that are located on the imaginary axis, it is termed as marginally stable. The impulse response of such systems does not go to zero as tââ, but stays bounded in the steady-state.
- How do poles determine stability?
- How pole position affects the stability of the system?
- How do you tell if a system is stable marginally stable or unstable?
- How do poles and zeros determine stability?
How do poles determine stability?
If all the poles lie in the left half of the s-plane, then the system is stable. If the system has two or more poles in the same location on the imaginary axis, then the system is unstable. If the system has one or more non-repeated poles on the imaginary axis, then the system is marginally stable.
How pole position affects the stability of the system?
Poles and Stability
When the poles of the closed-loop transfer function of a given system are located in the right-half of the S-plane (RHP), the system becomes unstable. When the poles of the system are located in the left-half plane (LHP) and the system is not improper, the system is shown to be stable.
How do you tell if a system is stable marginally stable or unstable?
If the system is stable by producing an output signal with constant amplitude and constant frequency of oscillations for bounded input, then it is known as marginally stable system. The open loop control system is marginally stable if any two poles of the open loop transfer function is present on the imaginary axis.
How do poles and zeros determine stability?
Addition of poles to the transfer function has the effect of pulling the root locus to the right, making the system less stable. Addition of zeros to the transfer function has the effect of pulling the root locus to the left, making the system more stable.
