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  2. Proportional–integral–derivative controller - Wikipedia

    en.wikipedia.org/wiki/Proportional–integral...

    A block diagram of a PID controller in a feedback loop. r(t) is the desired process variable (PV) or setpoint (SP), and y(t) is the measured PV. The distinguishing feature of the PID controller is the ability to use the three control terms of proportional, integral and derivative influence on the controller output to apply accurate and optimal ...

  3. Linear control - Wikipedia

    en.wikipedia.org/wiki/Linear_control

    On control systems involving motion control of a heavy item like a gun or camera on a moving vehicle, the derivative action of a well-tuned PID controller can allow it to reach and maintain a setpoint better than most skilled human operators. If a derivative action is over-applied, it can, however, lead to oscillations.

  4. Classical control theory - Wikipedia

    en.wikipedia.org/wiki/Classical_control_theory

    PID controllers are the most well established class of control systems: however, they cannot be used in several more complicated cases, especially if multiple-input multiple-output systems (MIMO) systems are considered. Applying Laplace transformation results in the transformed PID controller equation

  5. Closed-loop controller - Wikipedia

    en.wikipedia.org/wiki/Closed-loop_controller

    The PID controller is probably the most-used feedback control design. If u(t) is the control signal sent to the system, y(t) is the measured output and r(t) is the desired output, and e(t) = r(t) − y(t) is the tracking error, a PID controller has the general form

  6. 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.

  7. Integral windup - Wikipedia

    en.wikipedia.org/wiki/Integral_windup

    Within modern distributed control systems and programmable logic controllers, it is much easier to prevent integral windup by either limiting the controller output, limiting the integral to produce feasible output, [5] or by using external reset feedback, which is a means of feeding back the selected output to the integral circuit of all ...

  8. H-infinity methods in control theory - Wikipedia

    en.wikipedia.org/wiki/H-infinity_methods_in...

    The phrase H ∞ control comes from the name of the mathematical space over which the optimization takes place: H ∞ is the Hardy space of matrix-valued functions that are analytic and bounded in the open right-half of the complex plane defined by Re(s) > 0; the H ∞ norm is the supremum singular value of the matrix over that space.

  9. Differentiator - Wikipedia

    en.wikipedia.org/wiki/Differentiator

    Differentiators are an important part of electronic analogue computers and analogue PID controllers. They are also used in frequency modulators as rate-of-change detectors. A passive differentiator circuit is one of the basic electronic circuits, being widely used in circuit analysis based on the equivalent circuit method.