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Control System Terminology

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Ziegler-Nichols Tuning

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A heuristic method for tuning PID controller parameters based on transient response characteristics of a particular system.

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Lead-Lag Compensator

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A feedback control system component designed to improve the stability or transient response by adding phase lead or lag to the system.

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Step Response

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The time behavior of a system's output when subjected to a step input signal. It is a measure of the transient and steady-state responses of the system.

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Phase Margin

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The amount of additional phase lag at the frequency where the magnitude of the transfer function is unity (or 0 dB) that would lead the system to become unstable.

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Bode Plot

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A graphical representation of a system's frequency response, plotted with logarithmic axes showing magnitude and phase versus frequency.

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Transfer Function

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A mathematical representation of the output behavior of a system compared to its input, assuming an initial state of zero. It's represented as the Laplace transform of the output divided by the input under zero initial conditions.

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Nyquist Stability Criterion

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A graphical technique for determining the stability of a control system by examining the Nyquist plot of the open-loop transfer function.

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Time Constant

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A measure of the speed at which a system responds to changes. It is the time required for the system to reach approximately 63.2% of its final value.

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Disturbance

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An external or internal event that affects the performance of a control system, causing deviation from the desired output.

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Stability

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The ability of a control system to return to its original or desired state after being subjected to disturbances.

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Closed-loop Control System

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A control system that uses feedback to adjust its operation to achieve the desired output. The output influences the input.

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Servomechanism

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An automatic device that utilizes feedback to perform mechanical movements accurately, often used in control systems.

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Gain

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The ratio of the output signal to the input signal of a system component. It indicates the degree to which a signal is amplified.

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Dead Time

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The delay between the application of an input and the observable effect in the output of a control system.

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Bandwidth

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The range of frequencies over which the system operates effectively, often defined by the frequency at which the output power has dropped to half its peak value.

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Open-loop Control System

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A control system that acts completely on its own without feedback. It does not use output to influence input decisions.

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Routh-Hurwitz Criterion

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A mathematical algorithm that provides a necessary (but not sufficient) condition for the stability of a system by constructing the Routh array.

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PID Controller

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A control system mechanism characterized by Proportional, Integral, and Derivative which adjust the control input to correct errors between desired and measured system states.

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Overshoot

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The extent to which the output of a control system exceeds the desired setpoint or steady-state value before settling.

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Root Locus

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A graphical method in control theory to determine the locations of all possible closed-loop poles given a particular open-loop transfer function.

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