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Control Systems Overview

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PID Controller

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A control mechanism that uses the proportional, integral, and derivative actions to control a process.

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Transfer Function

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A mathematical representation that maps the input of a system to its output in the Laplace domain.

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Phase Margin

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The additional phase lag at the gain crossover frequency required to bring a system to the verge of instability.

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Routh-Hurwitz Criterion

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A method to determine the stability of a linear system by constructing a Routh array.

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Servomechanism

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A control system used for providing precise control of a mechanical position, velocity, or acceleration.

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Process Control

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The use of various control mechanisms to regulate the output of a specific process.

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Feedback Loop

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A system structure where the output is fed back to compare with the input to reduce error.

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Feedforward Control

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A control strategy that anticipates and compensates for disturbances before they affect the process.

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Laplace Transform

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A mathematical technique for transforming a time domain function into the s-domain.

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Ziegler-Nichols Tuning

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A heuristic method for tuning a PID controller based on characteristic system responses.

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Actuator

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A component responsible for moving or controlling a mechanism or system.

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Sensor

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A device that detects or measures a physical property and records, indicates, or otherwise responds to it.

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Bode Plot

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A graphical representation of a system's frequency response, plotted with magnitude and phase against frequency.

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Open-Loop System

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A type of control system that operates without using feedback.

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Closed-Loop System

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A control system that uses feedback to compare the actual output to the desired output response.

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System Type

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A classification of control systems based on the number of poles at the origin of the s-plane.

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Overshoot

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The extent to which a system exceeds its desired response before reaching steady state.

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Settling Time

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The time taken for the system's response to reach and remain within a certain error band around the final value.

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Gain

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A measure of how much a system amplifies the input signal.

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Time Constant

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The parameter characterizing the response speed of a first-order system.

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Phase Lag

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Occurs when the output of a system lags behind the input signal in terms of phase.

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Phase Lead

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Occurs when the output of a system leads the input signal in terms of phase.

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Stability

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The ability of a system to return to its steady state after a disturbance.

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Nyquist Criterion

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A stability criterion that relates the open-loop frequency response of a system to its closed-loop stability.

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Damping Ratio

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A dimensionless measure describing how oscillations in a system decay after a disturbance.

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Natural Frequency

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The frequency at which a system oscillates in the absence of any damping or driving forces.

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Bandwidth

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The range of frequencies over which the system can properly respond or maintain a certain performance level.

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Disturbance

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External inputs that can affect the performance of a control system but are not part of the reference input.

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Controllability

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The ability of a system to be driven from any initial state to any final state within a finite time frame, with appropriate input.

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Lead Compensator

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A controller that increases the phase margin and improves the transient response of a system.

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Lag Compensator

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A controller designed to increase steady-state accuracy without significantly affecting stability.

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Root Locus

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A graphical method for determining the roots of the characteristic equation as the system parameters are varied.

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State-Space Representation

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A mathematical modeling framework using vectors of state variables.

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Steady-State Error

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The difference between a system's output and the desired output as time goes to infinity.

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Gain Margin

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The amount by which the system gain can be increased before it reaches instability.

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