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11: Control Fundamentals

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    47285
    • Franz S. Hover and Michael S. Triantafyllou
    • Massachusetts Institute of Technology via MIT OpenCourseWare

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    • 11.1: Introduction to Control Fundamentals
      The scope of controller design and the need for modeling, using linear systems analysis.
    • 11.2: Partial Fractions
      Applying partial fraction expansions to a signal created by solving LTI systems through the Laplace Transform method, to find the time-domain output signals.
    • 11.3: Stability
      Stability in linear systems, in partial fraction expansions, and in general systems.
    • 11.4: Representing Linear Systems
      The transfer function description of linear systems has already been described in the presentation of the Laplace transform. The state-space form is an entirely equivalent time-domain representation that makes a clean extension to systems with multiple inputs and multiple outputs, and opens the way to many standard tools from linear algebra. This section addresses writing linear systems in state-space form and the interconversion of state-space models and transfer functions.
    • 11.5: Block Diagrams and Transfer Functions of Feedback Systems
      The use of block diagrams to model a feedback system, including the three external inputs that augment any such actual system and the derivation of these inputs.
    • 11.6: PID Controllers
      Introduction to the proportional-integral-derivative (PID) control law.
    • 11.7: Example: PID Control
      Example illustrating the difference between a proportional-only, proportional-derivative only, and proportional-integral-derivative control system, addressing stability and bias.
    • 11.8: Heuristic Tuning
      Transforming the characteristics of a step response to create a reasonable PID design; approximating the response curve by a first-order lag and pure delay.

    This page titled 11: Control Fundamentals was last modified on Fri, 23 Apr 2021 05:53:03 GMT and is shared under a CC BY-NC-SA 4.0 license and was authored, remixed, and/or curated by Franz S. Hover and Michael S. Triantafyllou (MIT OpenCourseWare) via source content that was edited to the style and standards of the LibreTexts platform.