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Stability Analysis

Gain and phase margins, pole and zero locations

Stability is a standard requirement for control systems to avoid loss of control and damage to equipment. For linear feedback systems, stability can be assessed by looking at the poles of the closed-loop transfer function.

Gain and phase margins measure how much gain or phase variation at the gain crossover frequency will cause a loss of stability. Together, these two quantities give an estimate of the safety margin for closed-loop stability. The smaller the stability margins, the more fragile stability is.

Functions

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Pole and Zero Locations

`pole`	Poles of dynamic system
`zero`	Zeros and gain of SISO dynamic system
`damp`	Natural frequency and damping ratio
`dsort`	Sort discrete-time poles by magnitude
`esort`	Sort continuous-time poles by real part
`tzero`	Invariant zeros of linear system
`pzmap`	Pole-zero plot of dynamic system
`iopzmap`	Plot pole-zero map for I/O pairs of model