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Bode Plot Features

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Minimum Phase System

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A minimum phase system is a system where the Bode magnitude and phase plots are related such that the system is stable if its poles and zeros are in the left half of the s-plane, leading to no excessive phase lag.

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Stability

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In the context of Bode plots, stability refers to the system's ability to return to its equilibrium state after being subjected to a disturbance. This is often inferred from the phase and gain margins.

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Cutoff Frequency

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Cutoff Frequency, also known as the -3dB frequency, is the frequency at which the magnitude of the system's frequency response decreases by 3 dB from its maximum.

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System Order

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System Order is indicated by the number of poles and zeros in the system, which is often reflected in the slope of the Bode magnitude plot at higher frequencies.

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Slope Rate

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Slope Rate denotes the rate of change of the Bode magnitude plot. It's especially critical near the cutoff frequency and is often expressed in decibels per decade (dB/decade) or decibels per octave.

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Phase Lead

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Phase Lead refers to the phase angle by which the output of the system leads the input signal. Frequently occurs at frequencies before the peak in the magnitude plot.

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Resonant Frequency

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Resonant Frequency is the frequency at which the resonant peak occurs on a Bode plot, typically associated with the natural frequency of the system for a second-order system.

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Non-minimum Phase System

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A non-minimum phase system contains one or more zeros in the right half of the s-plane, which can cause the phase plot to increase unexpectedly, leading to potential stability issues.

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Bandwidth

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Bandwidth refers to the range of frequencies over which the system responses adequately to an input signal, usually determined by the cutoff frequency.

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Gain Margin

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Gain Margin is the amount of gain increase or decrease at the phase crossover frequency required to make the system unstable. A larger gain margin indicates a more stable system.

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Phase Margin

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Phase Margin is the amount of additional phase lag at the gain crossover frequency required to bring the system to the verge of instability. A larger phase margin implies a more stable system.

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Phase Crossover Frequency

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Phase Crossover Frequency is the frequency at which the phase angle of the open-loop transfer function is -180 degrees, indicating the point where the phase crosses the -180-degree line.

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Resonant Peak

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Resonant Peak is the maximum peak in the magnitude plot of a frequency response, indicating a potential for large output responses at certain frequencies and potential for ringing in the time response.

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Phase Lag

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Phase Lag refers to the phase angle by which the output of the system lags behind the input signal as a function of frequency, often at lower frequencies before the phase crossover.

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Gain Crossover Frequency

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Gain Crossover Frequency is the frequency at which the magnitude of the open-loop transfer function is equal to 1 (0 dB), indicating the point of unity gain.

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