Adaptive Event-Triggered Control for Switched p-Normal Nonlinear Systems via Output Feedback.

Area of Science:

• Control Systems Engineering
• Nonlinear Systems Theory
• Adaptive Control

Background:

• Switched p-normal nonlinear systems present control challenges, especially with unknown homogeneous growth rates.
• Event-triggered control aims to reduce system resource usage by only updating control signals when necessary.
• Output-feedback control is crucial when not all system states are directly measurable.

Purpose of the Study:

• To develop an adaptive event-triggered output-feedback control strategy for switched p-normal nonlinear systems.
• To address the challenge of an unknown homogeneous growth rate in these systems.
• To guarantee global asymptotic stability of the closed-loop system and exclude Zeno behavior.

Main Methods:

• Design of a homogeneous output-feedback controller for nominal systems using the power integrator technique.
• Introduction of a dynamic gain technique to handle the unknown homogeneous growth rate.
• Development of an adaptive law for the dynamic gain and a novel analysis to exclude Zeno behavior.

Main Results:

• A novel adaptive event-triggered output-feedback controller was successfully designed.
• The proposed controller ensures global asymptotic stability for the switched nonlinear system.
• The analysis confirms the exclusion of Zeno behavior in the event-triggered control system.

Conclusions:

• The developed adaptive event-triggered output-feedback control method is effective for switched p-normal nonlinear systems.
• The approach successfully handles unknown homogeneous growth rates and ensures system stability.
• The findings are validated through two illustrative examples.