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Observer-based output-feedback stabilization of nonlinear systems with periodically event-triggered

Xueling Li1, Min Wang2, Xiangze Lin2

  • 1School of Science, China Pharmaceutical University, Nanjing 211198, PR China.

ISA Transactions
|June 10, 2026
PubMed
Summary

This study stabilizes nonlinear systems using observer-based feedback and event-triggered data sampling. The method ensures system stability by updating observers and controllers only when necessary, reducing data transmission.

Keywords:
Nonlinear systemsPeriodic event-triggered mechanismReduced-order observerSampled output feedback

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Area of Science:

  • Control Systems Engineering
  • Nonlinear Dynamics
  • Systems Theory

Background:

  • Observer-based control is crucial for nonlinear systems where states are unmeasurable.
  • Event-triggered control reduces communication load by transmitting data selectively.
  • Periodic sampling in nonlinear systems can be inefficient if data is not always needed.

Purpose of the Study:

  • To investigate observer-based state feedback stabilization for nonlinear systems with event-triggered sampled-output data.
  • To develop a control strategy that utilizes periodically sampled outputs but transmits data based on an event-triggered mechanism.
  • To ensure asymptotic stability of the closed-loop nonlinear system.

Main Methods:

  • Designing a reduced-order observer to estimate unmeasurable states from transmitted sampled-output data.
  • Developing a state feedback stabilizer using the homogeneous domination approach.
  • Implementing a periodically event-triggered mechanism to determine data transmission instants.
  • Employing stability analysis that requires only a bounded energy function between sampling intervals.

Main Results:

  • The proposed event-triggered mechanism effectively determines sampling instants for observer and controller updates.
  • The control strategy successfully achieves asymptotic stability for the closed-loop nonlinear system.
  • Conservatism in stability analysis is reduced, as monotonic decrease of the energy function is not required.

Conclusions:

  • The developed observer-based state feedback control with a periodically event-triggered mechanism is effective for stabilizing strict-feedback nonlinear systems.
  • This approach offers improved efficiency by reducing unnecessary data transmissions.
  • The method provides a less conservative stability analysis compared to traditional approaches.