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Contains an analysis of the problem of the inverted pendulum on a cart and three controllers for polytopic uncertainties, norm bounded control and polytopic uncertainties via LMI.

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Robust Control - Inverted Pendolum on a Cart

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Welcome in this repository! This repository contains the MATLAB code and the full analysis of the inverted pendolum on a cart as well as three control systems.

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  • Robust Control of Inverted Pendulum on a cart.pdf: full analysis of the inverted pendolum on a cart, with mechanical, transfer function and state space modelling. It is also proposed an introduction to robust control theory as well as three different controllers:
    • H2 Control with Polytopic Uncertainties
    • H2 and H\inf Norm Bounded Control
    • H2 Control with Polytopic Uncertainties via LMI
  • RC1_H2Nominale.m: MATLAB file - H2 controller with nominal values
  • RC2_H2_NormBoundedUncertainty.m: MATLAB file - H2 norm bounded controller with uncertainties
  • RC2_HInf_NormBoundedUncertainty.m: MATLAB file - H\inf norm bounded controller with uncertainties
  • RC3_H2_LMI.m: MATLAB file - H2 controller with Polytopic Uncertainties via LMI

Authors

  • Nicola Massarenti

License

This project is licensed under the MIT License - see the LICENSE.md file for details.

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Contains an analysis of the problem of the inverted pendulum on a cart and three controllers for polytopic uncertainties, norm bounded control and polytopic uncertainties via LMI.

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