Passivity-based event-triggered control for a class of switched nonlinear systems

Area of Science:

• Control Systems Engineering
• Nonlinear Dynamics
• System Stability Theory

Background:

• Switched nonlinear systems present unique control challenges due to their time-varying dynamics.
• Ensuring stability and performance in such systems, especially with output feedback, is complex.
• Traditional control methods may struggle with the intermittent nature of switched systems.

Purpose of the Study:

• To propose an event-triggered output feedback control mechanism for switched nonlinear systems.
• To address systems where passivity is maintained only during active intervals, using multiple storage functions.
• To ensure asymptotic stability and prevent Zeno behavior in the controlled systems.

Main Methods:

• Development of a static output feedback controller based on event-triggering.
• Utilizing a passivity property defined over active time intervals with multiple storage functions.
• Analysis of system stability and Zeno behavior exclusion under the proposed control strategy.

Main Results:

• The proposed event-triggered controller guarantees asymptotic stability for the class of switched nonlinear systems.
• The controller effectively excludes Zeno behavior under specified conditions.
• Demonstrated effectiveness through a numerical example.

Conclusions:

• The developed event-triggered control strategy is effective for switched nonlinear systems with passivity properties.
• The method offers a robust approach to maintaining stability and avoiding undesirable behaviors like Zeno oscillations.
• This work contributes to the advancement of control design for complex, time-varying systems.