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  2. Inverted pendulum - Wikipedia

    en.wikipedia.org/wiki/Inverted_pendulum

    The inverted pendulum is a classic problem in dynamics and control theory and is widely used as a benchmark for testing control algorithms (PID controllers, state-space representation, neural networks, fuzzy control, genetic algorithms, etc.). Variations on this problem include multiple links, allowing the motion of the cart to be commanded ...

  3. Linear-quadratic regulator rapidly exploring random tree

    en.wikipedia.org/wiki/Linear-quadratic_regulator...

    Cart-pendulum. The control theory is using differential equations to describe complex physical systems like an inverted pendulum. [1] A set of differential equations forms a physics engine which maps the control input to the state space of the system. The forward model is able to simulate the given domain.

  4. 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 ...

  5. Fuzzy control system - Wikipedia

    en.wikipedia.org/wiki/Fuzzy_control_system

    A fuzzy control system is a control system based on ... (hovering is a "balancing act" rather similar to the inverted pendulum ... "Tuning Of Fuzzy PID Controllers ...

  6. Furuta pendulum - Wikipedia

    en.wikipedia.org/wiki/Furuta_pendulum

    Rotational Inverted Pendulum: Classic pedagogical example of application of control theory. The Furuta pendulum, or rotational inverted pendulum, consists of a driven arm which rotates in the horizontal plane and a pendulum attached to that arm which is free to rotate in the vertical plane.

  7. Apprenticeship learning - Wikipedia

    en.wikipedia.org/wiki/Apprenticeship_learning

    In the inverted pendulum it is the angle. The overall task consists of two parts: recording the angle over time and reproducing the recorded motion. The reproducing step is surprisingly simple. As an input we know, in which time step which angle the pendulum must have. Bringing the system to a state is called “Tracking control” or PID ...

  8. Classical control theory - Wikipedia

    en.wikipedia.org/wiki/Classical_control_theory

    Classical control theory uses the Laplace transform to model the systems and signals. The Laplace transform is a frequency-domain approach for continuous time signals irrespective of whether the system is stable or unstable.

  9. Coefficient diagram method - Wikipedia

    en.wikipedia.org/wiki/Coefficient_diagram_method

    The controller is desired to be of minimum degree, minimum phase (if possible) and stable. It must have enough bandwidth and power rating limitations. If the controller is designed without considering these limitations, the robustness property will be very poor, even though the stability and time response requirements are met. CDM controllers ...

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