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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. Proportional–integral–derivative controller - Wikipedia

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

    PID controllers often provide acceptable control using default tunings, but performance can generally be improved by careful tuning, and performance may be unacceptable with poor tuning. Usually, initial designs need to be adjusted repeatedly through computer simulations until the closed-loop system performs or compromises as desired.

  4. 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.

  5. 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.

  6. 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 ...

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  8. Double pendulum - Wikipedia

    en.wikipedia.org/wiki/Double_pendulum

    A double pendulum consists of two pendulums attached end to end.. In physics and mathematics, in the area of dynamical systems, a double pendulum, also known as a chaotic pendulum, is a pendulum with another pendulum attached to its end, forming a simple physical system that exhibits rich dynamic behavior with a strong sensitivity to initial conditions. [1]

  9. Coefficient diagram method - Wikipedia

    en.wikipedia.org/wiki/Coefficient_diagram_method

    In control theory, the coefficient diagram method (CDM) is an algebraic approach applied to a polynomial loop in the parameter space.A special diagram called a "coefficient diagram" is used as the vehicle to carry the necessary information and as the criterion of good design. [1]