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Generalized predictive control for a coupled four tank MIMO system using a continuous-discrete time observer.

Houssemeddine Gouta1, Salim Hadj Saïd1, Nabil Barhoumi1

  • 1Research Unit of Industrial Systems Study and Renewable Energy (ESIER), National Engineering School of Monastir (ENIM), University of Monastir, Ibn El Jazzar, 5019 Monastir, Tunisia.

ISA Transactions
|December 13, 2016
PubMed
Summary
This summary is machine-generated.

This study presents a novel nonlinear predictive controller for a four-tank liquid system, enabling precise, sensorless control. The controller effectively manages liquid levels, demonstrating robust performance in complex scenarios.

Keywords:
Continuous-discrete time observerExperimental validationExponential stabilityLiquid level ControlPredictive ControlSampled outputs

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Area of Science:

  • Control Engineering
  • Process Systems Engineering
  • Nonlinear Systems

Background:

  • Coupled four-tank liquid level systems present challenges in precise control.
  • Existing methods often require sensors or struggle with complex dynamics.

Purpose of the Study:

  • To design an observer-based controller for precise, sensorless liquid level control in a MIMO system.
  • To develop a nonlinear predictive controller (MPC) for a specific class of nonlinear MIMO systems.
  • To estimate liquid levels using a high-gain, continuous-discrete observer.

Main Methods:

  • Developed an analytical solution for nonlinear Model Predictive Control (MPC).
  • Designed a high-gain observer with continuous-time operation and mixed continuous-discrete error correction.
  • Validated the control scheme through simulations and experimental tests.

Main Results:

  • Achieved precise liquid level control in a four-tank system without sensors.
  • Demonstrated exponential stability of the proposed MPC.
  • Successfully regulated one tank level while tracking a sinusoidal reference in another.
  • Validated decoupling performance using trapezoidal reference signals.

Conclusions:

  • The proposed observer-based nonlinear predictive controller effectively achieves sensorless liquid level control.
  • The controller exhibits robust performance and good decoupling capabilities in complex MIMO systems.
  • Simulation and experimental results confirm the validity and effectiveness of the developed control strategy.