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  2. Bode plot - Wikipedia

    en.wikipedia.org/wiki/Bode_plot

    Figure 1B: Low-pass filter (1st-order, one-pole) Bode magnitude plot (top) and Bode phase plot (bottom). The red data curve is approximated by the straight black line. In electrical engineering and control theory, a Bode plot is a graph of the frequency response of a system.

  3. Bode's sensitivity integral - Wikipedia

    en.wikipedia.org/wiki/Bode's_sensitivity_integral

    Bode's sensitivity integral, discovered by Hendrik Wade Bode, is a formula that quantifies some of the limitations in feedback control of linear parameter invariant systems. Let L be the loop transfer function and S be the sensitivity function. In the diagram, P is a dynamical process that has a transfer function P(s).

  4. State-space representation - Wikipedia

    en.wikipedia.org/wiki/State-space_representation

    The internal state variables are the smallest possible subset of system variables that can represent the entire state of the system at any given time. [13] The minimum number of state variables required to represent a given system, , is usually equal to the order of the system's defining differential equation, but not necessarily.

  5. Campbell diagram - Wikipedia

    en.wikipedia.org/wiki/Campbell_diagram

    A Campbell diagram plot represents a system's response spectrum as a function of its oscillation regime. It is named for Wilfred Campbell, who introduced the concept. [1] [2] It is also called an interference diagram. [3]

  6. Step response - Wikipedia

    en.wikipedia.org/wiki/Step_response

    The procedure outlined in the Bode plot article is followed. Figure 5 is the Bode gain plot for the two-pole amplifier in the range of frequencies up to the second pole position. The assumption behind Figure 5 is that the frequency f 0 dB lies between the lowest pole at f 1 = 1/(2πτ 1) and the second pole at f 2 = 1/(2πτ 2). As indicated in ...

  7. 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.

  8. Multidimensional scaling - Wikipedia

    en.wikipedia.org/wiki/Multidimensional_scaling

    Model selection tools like AIC, BIC, Bayes factors, or cross-validation can thus be useful to select the dimensionality that balances underfitting and overfitting. Mapping the results and defining the dimensions – The statistical program (or a related module) will map the results. The map will plot each product (usually in two-dimensional space).

  9. Root locus analysis - Wikipedia

    en.wikipedia.org/wiki/Root_locus_analysis

    The root locus plots the poles of the closed loop transfer function in the complex s-plane as a function of a gain parameter (see pole–zero plot). Evans also invented in 1948 an analog computer to compute root loci, called a "Spirule" (after "spiral" and " slide rule "); it found wide use before the advent of digital computers .