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  2. Root locus analysis - Wikipedia

    en.wikipedia.org/wiki/Root_locus_analysis

    The following Python code can also be used to calculate and plot the root locus of the closed-loop transfer function using the Python Control Systems Library [14] and Matplotlib [15]. import control as ct import matplotlib.pyplot as plt # Define the transfer function sys = ct .

  3. Transfer function - Wikipedia

    en.wikipedia.org/wiki/Transfer_function

    In engineering, a transfer function (also known as system function [1] or network function) of a system, sub-system, or component is a mathematical function that models the system's output for each possible input. [2] [3] [4] It is widely used in electronic engineering tools like circuit simulators and control systems.

  4. Closed-loop transfer function - Wikipedia

    en.wikipedia.org/wiki/Closed-loop_transfer_function

    The closed-loop transfer function is measured at the output. The output signal can be calculated from the closed-loop transfer function and the input signal. Signals may be waveforms, images, or other types of data streams. An example of a closed-loop block diagram, from which a transfer function may be computed, is shown below:

  5. Data-flow analysis - Wikipedia

    en.wikipedia.org/wiki/Data-flow_analysis

    The transfer function for each block can be decomposed in so-called gen and kill sets. As an example, in live-variable analysis, the join operation is union. The kill set is the set of variables that are written in a block, whereas the gen set is the set of variables that are read without being written first.

  6. Ackermann's formula - Wikipedia

    en.wikipedia.org/wiki/Ackermann's_Formula

    In control theory, Ackermann's formula is a control system design method for solving the pole allocation problem for invariant-time systems by Jürgen Ackermann. [1] One of the primary problems in control system design is the creation of controllers that will change the dynamics of a system by changing the eigenvalues of the matrix representing the dynamics of the closed-loop system. [2]

  7. 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.

  8. 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.

  9. Full state feedback - Wikipedia

    en.wikipedia.org/wiki/Full_state_feedback

    Full state feedback (FSF), or pole placement, is a method employed in feedback control system theory to place the closed-loop poles of a plant in predetermined locations in the s-plane. [1] Placing poles is desirable because the location of the poles corresponds directly to the eigenvalues of the system, which control the characteristics of the ...