<p>This research suggests a coordinated strategy of an unknown input-based adaptive fault estimator with the persistent dwell-time concept for switched dynamics with the Lipschitz property. Within this approach, both actuator faults and disturbances are integrated into the system dynamics. Leveraging these dynamics, a fault estimator employing an adaptation law is formed through the multiple Lyapunov function. This design aims to nullify the unknown input while accurately estimating actuator faults. Additionally, the persistent dwell-time structure enhances stability against a wider spectrum of signals. Addressing the challenges posed by concurrent nonlinear terms and disturbances, the problem is reformulated using linear matrix inequalities to facilitate solutions by standard solvers, thus enabling the extraction of estimator gains. The suggested strategy is then simulated on a liquid-level control system, and its efficacy is assessed. The evaluation outcomes affirm the resilience and precision of the proposed estimator.</p>

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Design of a novel unknown input-based adaptive fault estimator for nonlinear switched systems and application to liquid-level control system

  • Jianxin Zheng,
  • Guiyang Xu

摘要

This research suggests a coordinated strategy of an unknown input-based adaptive fault estimator with the persistent dwell-time concept for switched dynamics with the Lipschitz property. Within this approach, both actuator faults and disturbances are integrated into the system dynamics. Leveraging these dynamics, a fault estimator employing an adaptation law is formed through the multiple Lyapunov function. This design aims to nullify the unknown input while accurately estimating actuator faults. Additionally, the persistent dwell-time structure enhances stability against a wider spectrum of signals. Addressing the challenges posed by concurrent nonlinear terms and disturbances, the problem is reformulated using linear matrix inequalities to facilitate solutions by standard solvers, thus enabling the extraction of estimator gains. The suggested strategy is then simulated on a liquid-level control system, and its efficacy is assessed. The evaluation outcomes affirm the resilience and precision of the proposed estimator.