Nonlinear Robust Control by a Modulating-Function-Based Backstepping Super-Twisting Controller for a Quadruple Tank System

Italo Aranda-Cetraro, Gustavo Pérez-Zúñiga, Raul Rivas-Pérez, Javier Sotomayor-Moriano

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

In this paper, a robust nonlinear approach for control of liquid levels in a quadruple tank system (QTS) is developed based on the design of an integrator backstepping super-twisting controller, which implements a multivariable sliding surface, where the error trajectories converge to the origin at any operating point of the system. Since the backstepping algorithm is dependent on the derivatives of the state variables, and it is sensitive to measurement noise, integral transformations of the backstepping virtual controls are performed via the modulating functions technique, rendering the algorithm derivative-free and immune to noise. The simulations based on the dynamics of the QTS located at the Advanced Control Systems Laboratory of the Pontificia Universidad Católica del Perú (PUCP) showed a good performance of the designed controller and therefore the robustness of the proposed approach.

Original languageEnglish
Article number5222
JournalSensors (Switzerland)
Volume23
Issue number11
DOIs
StatePublished - Jun 2023

Keywords

  • MIMO systems
  • backstepping control
  • modulating functions
  • nonlinear control
  • quadruple tank system
  • variable structure systems

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