On an Optimal Linear Control Applied to a Non-Ideal Load Transportation System, Modeled with Periodic Coefficients

Author:

Chavarette Fábio Roverto1ORCID,Peruzzi Nelson José1,Balthazar José Manoel2,Barbanti Luciano1,Damasceno Berenice Carmargo1

Affiliation:

1. University Estadual Paulista

2. Univ Estadual Paulista

Abstract

In this paper, a load transportation system in platforms or suspended by cables is considered. It is a monorail device and is modelled as an inverted pendulum built on a car driven by a DC motor. The governing equations of motion were derived via Lagrange’s equations. In the mathematical model we consider the interaction between the DC motor and the dynamical system, that is, we have a so-called non-ideal periodic problem. The problem is analysed and we also developed an optimal linear control design to stabilize the problem.

Publisher

Trans Tech Publications, Ltd.

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