2013
DOI: 10.1177/0142331213504946
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Pareto optimum control of a 2-DOF inverted pendulum using approximate feedback linearization and sliding mode control

Abstract: In this paper, a cart-type inverted pendulum is controlled using combining of two methods of approximate feedback linearization and sliding mode control. Both position of the cart and angular position of the pendulum are stabilized. Obtained control gains are optimized by a hybrid algorithm based on the particle swarm optimization and genetic algorithm.

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Cited by 20 publications
(29 citation statements)
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“…The inverted pendulum linear state feedback controllers are mainly designed using the multi-objective uniform diversity GA and periodic multi-object PSO. In this case, an inverted pendulum system control mechanism is face-forward neural network novel fused controller and encoding of its parameters are done into real chromosomes values for GA [34].…”
Section: Issn: 2088-8708 mentioning
confidence: 99%
“…The inverted pendulum linear state feedback controllers are mainly designed using the multi-objective uniform diversity GA and periodic multi-object PSO. In this case, an inverted pendulum system control mechanism is face-forward neural network novel fused controller and encoding of its parameters are done into real chromosomes values for GA [34].…”
Section: Issn: 2088-8708 mentioning
confidence: 99%
“…By taking Laplace transform of equations (17) and (18), cart position (x) to input force (F) and pendulum angle (u) to input force (F) transfer functions are determined. These are given in equations (19) and (20), respectively…”
Section: Dynamics Of Cipsmentioning
confidence: 99%
“…Suppose the governing equations are according to Equations (1) [7,13]. If the conditions are satisfied, It is ensured that 1 ( ) is finite if Equation (8) holds.…”
Section: Feedback Linearization (Fbl)mentioning
confidence: 99%
“…For implementation of FBL methods, first, the following nonlinear transformation is considered [1]: Dynamical equations are expressed as follows:…”
Section: Cart-polementioning
confidence: 99%
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