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Control System Terminology
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Ziegler-Nichols Tuning
A heuristic method for tuning PID controller parameters based on transient response characteristics of a particular system.
Lead-Lag Compensator
A feedback control system component designed to improve the stability or transient response by adding phase lead or lag to the system.
Step Response
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.
Phase Margin
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.
Bode Plot
A graphical representation of a system's frequency response, plotted with logarithmic axes showing magnitude and phase versus frequency.
Transfer Function
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.
Nyquist Stability Criterion
A graphical technique for determining the stability of a control system by examining the Nyquist plot of the open-loop transfer function.
Time Constant
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.
Disturbance
An external or internal event that affects the performance of a control system, causing deviation from the desired output.
Stability
The ability of a control system to return to its original or desired state after being subjected to disturbances.
Closed-loop Control System
A control system that uses feedback to adjust its operation to achieve the desired output. The output influences the input.
Servomechanism
An automatic device that utilizes feedback to perform mechanical movements accurately, often used in control systems.
Gain
The ratio of the output signal to the input signal of a system component. It indicates the degree to which a signal is amplified.
Dead Time
The delay between the application of an input and the observable effect in the output of a control system.
Bandwidth
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.
Open-loop Control System
A control system that acts completely on its own without feedback. It does not use output to influence input decisions.
Routh-Hurwitz Criterion
A mathematical algorithm that provides a necessary (but not sufficient) condition for the stability of a system by constructing the Routh array.
PID Controller
A control system mechanism characterized by Proportional, Integral, and Derivative which adjust the control input to correct errors between desired and measured system states.
Overshoot
The extent to which the output of a control system exceeds the desired setpoint or steady-state value before settling.
Root Locus
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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