New result on event-triggered dynamic output feedback H∞ control for discrete-time switched systems

Area of Science:

• Control Systems Engineering
• Systems Theory
• Applied Mathematics

Background:

• Switched linear systems are prevalent in various engineering applications.
• Stability and performance analysis of these systems are challenging due to mode transitions.
• Existing event-triggered control often assumes single switching within intervals.

Purpose of the Study:

• To design an event-triggered dynamic output feedback H∞ controller for discrete-time switched linear systems.
• To address the challenge of multiple subsystem switches within an inter-event interval.
• To ensure global exponential l2 stability and H∞ performance.

Main Methods:

• Utilizing an event-triggered control strategy for dynamic output feedback.
• Adopting the average dwell time approach for stability and l2-gain analysis.
• Employing a controller-mode-dependent Lyapunov function for deriving stability criteria.

Main Results:

• Developed criteria for global exponential l2 stability in discrete-time switched linear systems with multiple switches.
• Established conditions for H∞ performance under event-triggered dynamic output feedback control.
• Demonstrated the effectiveness of the proposed controller through a numerical example.

Conclusions:

• The proposed event-triggered dynamic output feedback H∞ controller effectively manages multiple switches in discrete-time switched linear systems.
• The average dwell time and Lyapunov function-based approach provides a robust framework for stability and performance analysis.
• The findings offer a valuable contribution to the field of robust control for complex dynamical systems.