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  2. Open-loop controller - Wikipedia

    en.wikipedia.org/wiki/Open-loop_controller

    For example, an irrigation sprinkler system, programmed to turn on at set times could be an example of an open-loop system if it does not measure soil moisture as a form of feedback. Even if rain is pouring down on the lawn, the sprinkler system would activate on schedule, wasting water.

  3. Nyquist stability criterion - Wikipedia

    en.wikipedia.org/wiki/Nyquist_stability_criterion

    If the open-loop transfer function () is stable, then the closed-loop system is unstable, if and only if, the Nyquist plot encircle the point −1 at least once. If the open-loop transfer function G ( s ) {\displaystyle G(s)} is unstable , then for the closed-loop system to be stable, there must be one counter -clockwise encirclement of −1 ...

  4. 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.

  5. 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:

  6. 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 ...

  7. Root locus analysis - Wikipedia

    en.wikipedia.org/wiki/Root_locus_analysis

    Many other interesting and relevant mapping properties can be described, not least that z-plane controllers, having the property that they may be directly implemented from the z-plane transfer function (zero/pole ratio of polynomials), can be imagined graphically on a z-plane plot of the open loop transfer function, and immediately analyzed ...

  8. Control theory - Wikipedia

    en.wikipedia.org/wiki/Control_theory

    Practically speaking, stability requires that the transfer function complex poles reside in the open left half of the complex plane for continuous time, when the Laplace transform is used to obtain the transfer function. inside the unit circle for discrete time, when the Z-transform is used.

  9. Full state feedback - Wikipedia

    en.wikipedia.org/wiki/Full_state_feedback

    System in open-loop. If the closed-loop dynamics can be represented by the state space equation (see State space (controls)) _ ˙ = _ + _, with output equation _ = _ + _, then the poles of the system transfer function are the roots of the characteristic equation given by