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  2. Phase margin - Wikipedia

    en.wikipedia.org/wiki/Phase_margin

    Phase margin and gain margin are two measures of stability for a feedback control system. They indicate how much the gain or the phase of the system can vary before it becomes unstable. Phase margin is the difference (expressed as a positive number) between 180° and the phase shift where the magnitude of the loop transfer function is 0 dB.

  3. Bode plot - Wikipedia

    en.wikipedia.org/wiki/Bode_plot

    Figures 8 and 9 illustrate the gain margin and phase margin for a different amount of feedback β. The feedback factor is chosen smaller than in Figure 6 or 7, moving the condition | β A OL | = 1 to lower frequency. In this example, 1 / β = 77 dB, and at low frequencies A FB ≈ 77 dB as well. Figure 8 shows the gain plot.

  4. Root locus analysis - Wikipedia

    en.wikipedia.org/wiki/Root_locus_analysis

    Spirule. In control theory and stability theory, root locus analysis is a graphical method for examining how the roots of a system change with variation of a certain system parameter, commonly a gain within a feedback system.

  5. Step response - Wikipedia

    en.wikipedia.org/wiki/Step_response

    Figure 5: Bode gain plot to find phase margin; scales are logarithmic, so labeled separations are multiplicative factors. For example, f 0 dB = βA 0 × f 1. Next, the choice of pole ratio τ 1 /τ 2 is related to the phase margin of the feedback amplifier. [9] The procedure outlined in the Bode plot article is followed. Figure 5 is the Bode ...

  6. Instantaneous phase and frequency - Wikipedia

    en.wikipedia.org/wiki/Instantaneous_phase_and...

    Instantaneous phase and frequency are important concepts in signal processing that occur in the context of the representation and analysis of time-varying functions. [1] The instantaneous phase (also known as local phase or simply phase ) of a complex-valued function s ( t ), is the real-valued function:

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  8. Linear–quadratic regulator - Wikipedia

    en.wikipedia.org/wiki/Linear–quadratic_regulator

    LQR controllers possess inherent robustness with guaranteed gain and phase margin, [1] and they also are part of the solution to the LQG (linear–quadratic–Gaussian) problem. Like the LQR problem itself, the LQG problem is one of the most fundamental problems in control theory .

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