Switching dynamic event-triggered disturbance rejection control for uncertain Lipschitz nonlinear system using...

Area of Science:

• Control Systems Engineering
• Nonlinear Dynamics
• Applied Mathematics

Background:

• Uncertainty and time-varying disturbances challenge the stability and performance of nonlinear systems.
• Traditional continuous control methods can be communication-intensive and computationally expensive.

Purpose of the Study:

• To develop an event-triggered disturbance rejection control strategy for uncertain Lipschitz nonlinear systems.
• To design a controller that minimizes communication and computation while ensuring system stability and performance.
• To guarantee a minimum inter-event time for practical implementation.

Main Methods:

• Design of a joint state and disturbance observer using transformed intermediate variables.
• Recursive observer construction to estimate system states and disturbances.
• Development of an event-triggered controller with a dynamic trigger variable and a mandatory resting interval.
• Incorporation of a guaranteed minimum inter-event time mechanism.

Main Results:

• The proposed event-triggered control method effectively rejects time-varying disturbances in uncertain Lipschitz nonlinear systems.
• Numerical simulations demonstrate a 59.6% reduction in steady-state error.
• The minimum trigger interval was extended by at least 2.44 times compared to existing methods, reducing control signal frequency.

Conclusions:

• The developed event-triggered control strategy offers significant performance improvements for nonlinear systems with disturbances.
• The method provides a practical approach to reduce control updates while maintaining system stability and accuracy.
• This research contributes to efficient and robust control design for complex dynamic systems.