Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Experimental Evaluation of a Takagi-Sugeno Fuzzy Controller for an EV3 Ballbot System

Version 1 : Received: 7 December 2023 / Approved: 8 December 2023 / Online: 8 December 2023 (04:37:49 CET)

How to cite: Enemegio, R.; Jurado, F.; Villanueva-Tavira, J. Experimental Evaluation of a Takagi-Sugeno Fuzzy Controller for an EV3 Ballbot System. Preprints 2023, 2023120558. https://doi.org/10.20944/preprints202312.0558.v1 Enemegio, R.; Jurado, F.; Villanueva-Tavira, J. Experimental Evaluation of a Takagi-Sugeno Fuzzy Controller for an EV3 Ballbot System. Preprints 2023, 2023120558. https://doi.org/10.20944/preprints202312.0558.v1

Abstract

In this paper, experimental results about the performance of a Takagi-Sugeno Fuzzy Controller (TSFC) for an EV3 Ballbot Robotic System (EV3BRS) are reported. The physical configuration for the EV3BRS has the form of an inverted pendulum mounted on a ball. The EV3BRS is an underactuated robotic system with four outputs and two control torques. The Takagi-Sugeno Fuzzy Model (TSFM) design comes from linearization of the nonlinear model around two operation points near from the upright position of the EV3BRS's body. The Parallel Distributed Compensation (PDC) approach is used to the design of the TSFC. The Linear Matrix Inequalities (LMIs) approach is used to get the feedback gains for every local linear controller guaranteeing global asymptotically stability, via a more relaxed stability condition, of the overall fuzzy control system. Measurement and control data from and to the EV3BRS are transferred via telecontrol and telemetry.

Keywords

ballbot; linear matrix inequalities; parallel distributed compensation; Takagi-Sugeno fuzzy control; Takagi-Sugeno fuzzy model; telecontrol; telemetry; underactuated systems

Subject

Engineering, Control and Systems Engineering

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