<p>The objective of this work is to devise a switching law that determines the active subsystem at each instant, with the aim of ensuring the asymptotic stability of the switched interconnected system. Two design approaches are proposed. The first is a design based on state variables. This method entails the development of a switching law as a function of the system state variables. A special case of constrained systems is also examined in order to demonstrate the influence of these constraints on the design. The second design is based on output variables. This approach proposes a switching control that depends on the measurable output variables of the system. In both cases, stabilization conditions are derived using the Lyapunov function, ensuring that the system remains asymptotically stable. The theoretical results are illustrated by three practical examples, which demonstrate the application of the proposed methods and their effectiveness in concrete scenarios.</p>

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Switched Large-scale Interconnected Systems: Stabilization via Switching Law

  • Ouahiba Benmessaouda,
  • Rkia Oubah,
  • Said Gounane

摘要

The objective of this work is to devise a switching law that determines the active subsystem at each instant, with the aim of ensuring the asymptotic stability of the switched interconnected system. Two design approaches are proposed. The first is a design based on state variables. This method entails the development of a switching law as a function of the system state variables. A special case of constrained systems is also examined in order to demonstrate the influence of these constraints on the design. The second design is based on output variables. This approach proposes a switching control that depends on the measurable output variables of the system. In both cases, stabilization conditions are derived using the Lyapunov function, ensuring that the system remains asymptotically stable. The theoretical results are illustrated by three practical examples, which demonstrate the application of the proposed methods and their effectiveness in concrete scenarios.