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Estabilización de Péndulo Invertido Empleando Controladores LQR, PID YPID Fraccionario: Un Estudio por Simulaciones

Translated title of the contribution: Stabilization of inverted pendulum using LQR, PID and fractional order PID controllers: A simulated study

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

11 Scopus citations

Abstract

In this paper, a simulated study of three different control strategies; Linear Quadratic Regulator (LQR), Integer order PID and Fractional order PID (FOPID), is performed in order to stabilize an inverted pendulum on a cart. First, a nonlinear model of the cart-pendulum system is presented which is used later in the simulations. The tuning parameters of all three controllers are obtained using the Particle Swarm Optimization (PSO) technique, with the Integral of the Squared Error (ISE) index as fitting function and employing a unit step as reference. The simulation results, when applying a unit step reference (same as in the PSO tuning process), show a better performance for the FOPID when using the cost function of the LQR as performance index. However, in a more general case of a sequence of step references, the LQR exhibits a better behavior.

Translated title of the contributionStabilization of inverted pendulum using LQR, PID and fractional order PID controllers: A simulated study
Original languageSpanish
Title of host publication2016 IEEE International Conference on Automatica, ICA-ACCA 2016
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9781509011476
DOIs
StatePublished - 8 Dec 2016
Externally publishedYes
Event2016 IEEE International Conference on Automatica, ICA-ACCA 2016 - Curico, Chile
Duration: 19 Oct 201621 Oct 2016

Publication series

Name2016 IEEE International Conference on Automatica, ICA-ACCA 2016

Conference

Conference2016 IEEE International Conference on Automatica, ICA-ACCA 2016
Country/TerritoryChile
CityCurico
Period19/10/1621/10/16

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