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Multi-objective generalized predictive control for switching systems under unknown switching sequences.

Ali Thamallah1, Anis Sakly1, Faouzi M'Sahli1

  • 1Research Laboratory "Automatic, Electrical Systems and Environment" LAS2E, National Engineering School of Monastir (ENIM), University of Monastir, Ibn El Jazzar, 5019 Skanes, Tunisia.

ISA Transactions
|August 21, 2021
PubMed
Summary
This summary is machine-generated.

This study introduces a new generalized predictive control (GPC) for unstable switching systems. The novel GPC method effectively stabilizes and tracks systems with unknown switching signals, outperforming existing methods.

Keywords:
Generalized predictive controlMulti objective optimization problemSwitching systemUnknown switching sequence

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Area of Science:

  • Control Engineering
  • Systems Science

Background:

  • Switching systems often exhibit complex dynamics, including unstable modes, non-minimum phase characteristics, and variable dead-times.
  • Undetermined switching signals in these systems pose significant challenges for traditional control strategies.

Purpose of the Study:

  • To develop a robust generalized predictive control (GPC) strategy for discrete-time switching systems.
  • To address challenges posed by unstable modes, unknown switching signals, non-minimum phase behavior, and variable dead-times.

Main Methods:

  • A novel predictive control law is derived by solving a dynamic multi-objective optimization problem.
  • The control formulation integrates subsystem behaviors and switching phases for adaptive control.
  • The method is inspired by standard GPC, retaining its desirable features.

Main Results:

  • The developed GPC strategy demonstrates enhanced stability and tracking performance for switching systems.
  • Simulation results on four benchmark examples confirm the method's effectiveness under unknown switching sequences.
  • Comparative analysis shows superior performance over the Multi-Criteria Predictive Control (MOMPC) method.

Conclusions:

  • The proposed GPC method offers an effective solution for controlling and stabilizing challenging discrete-time switching systems.
  • The controller adapts to system dynamics across different modes, ensuring reliable performance.
  • This approach provides a significant advancement in predictive control for complex systems.