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Control Design for Uncertain Higher-Order Networked Nonlinear Systems via an Arbitrary Order Finite-Time Sliding Mode

Maryam Munir1, Qudrat Khan2, Safeer Ullah3

  • 1Department of Electrical Engineering, HITEC University, Taxila 47080, Pakistan.

Sensors (Basel, Switzerland)
|April 12, 2022
PubMed
Summary
This summary is machine-generated.

This study introduces a novel finite-time sliding mode control (SMC) for uncertain nonlinear systems. The proposed control ensures rapid consensus and stability in networked systems.

Keywords:
arbitrary order sliding modefinite-time systemsnetworked systemnonlinear system

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Area of Science:

  • Control Engineering
  • Nonlinear Systems Theory
  • Networked Systems

Background:

  • Networked systems with uncertain higher-order nonlinear dynamics present significant control challenges.
  • Achieving finite-time consensus and stability in such systems requires advanced control strategies.

Purpose of the Study:

  • To design an arbitrary-order finite-time sliding mode control (SMC) for networked uncertain higher-order nonlinear systems.
  • To develop a distributed control protocol that guarantees finite-time sliding mode enforcement and stability.

Main Methods:

  • Development of a consensus error-based canonical form for error dynamics.
  • Proposal of a novel arbitrary-order distributed control protocol.
  • Rigorous closed-loop stability analysis.

Main Results:

  • The proposed control strategy ensures sliding mode enforcement in finite time.
  • Finite-time stability of the error dynamics is confirmed.
  • A simulation example validates the effectiveness of the proposed method.

Conclusions:

  • The developed arbitrary-order finite-time SMC effectively addresses control challenges in networked uncertain nonlinear systems.
  • The proposed distributed control protocol offers a robust solution for achieving finite-time consensus and stability.