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  2. Nyquist stability criterion - Wikipedia

    en.wikipedia.org/wiki/Nyquist_stability_criterion

    A Nyquist plot is a parametric plot of a frequency response used in automatic control and signal processing. The most common use of Nyquist plots is for assessing the stability of a system with feedback. In Cartesian coordinates, the real part of the transfer function is plotted on the X-axis while the imaginary part is plotted on the Y-axis ...

  3. Hall circles - Wikipedia

    en.wikipedia.org/wiki/Hall_circles

    Nichols plot of the transfer function 1/s(1+s)(1+2s) along with the modified M and N circles. To use the Hall circles, a plot of M and N circles is done over the Nyquist plot of the open-loop transfer function. The points of the intersection between these graphics give the corresponding value of the closed-loop transfer function.

  4. Root locus analysis - Wikipedia

    en.wikipedia.org/wiki/Root_locus_analysis

    The following MATLAB code will plot the root locus of the closed-loop transfer function as varies using the described manual method as well as the rlocus built-in function: % Manual method K_array = ( 0 : 0.1 : 220 ). ' ; % .' is a transpose.

  5. Sensitivity (control systems) - Wikipedia

    en.wikipedia.org/wiki/Sensitivity_(control_systems)

    A basic closed loop control system, using unity negative feedback. C(s) and G(s) denote compensator and plant transfer functions, respectively. Let () and () denote the plant and controller's transfer function in a basic closed loop control system written in the Laplace domain using unity negative feedback.

  6. Nichols plot - Wikipedia

    en.wikipedia.org/wiki/Nichols_plot

    A Nichols plot. The Nichols plot is a plot used in signal processing and control design, named after American engineer Nathaniel B. Nichols. [1] [2] [3] It plots the phase response versus the response magnitude of a transfer function for any given frequency, and as such is useful in characterizing a system's frequency response.

  7. Hopsan - Wikipedia

    en.wikipedia.org/wiki/HOPSAN

    It is also possible to perform Monte Carlo sensitivity analysis. The plotting tool is capable of generating frequency spectrums and performing frequency analysis to generate Bode diagrams and Nyquist plots. Hopsan models can be exported to Simulink. Plot data can be exported to XML, CSV, gnuplot and Matlab.

  8. Transfer function - Wikipedia

    en.wikipedia.org/wiki/Transfer_function

    The transfer function of a two-port electronic circuit, such as an amplifier, might be a two-dimensional graph of the scalar voltage at the output as a function of the scalar voltage applied to the input; the transfer function of an electromechanical actuator might be the mechanical displacement of the movable arm as a function of electric ...

  9. Nonlinear control - Wikipedia

    en.wikipedia.org/wiki/Nonlinear_control

    two real numbers a, b with a < b, defining a sector for function Φ The Lur'e problem (also known as the absolute stability problem) is to derive conditions involving only the transfer matrix H ( s ) and { a , b } such that x = 0 is a globally uniformly asymptotically stable equilibrium of the system.