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Event-triggered H∞ control for discrete-time switched systems with saturation nonlinearities
Qian Wang1, Yuetao Yang1, Fujie Tian1
1School of Automation, Hangzhou Dianzi University, Hangzhou 310018, China.
This study introduces event-triggered H∞ control for discrete-time switched systems with saturation. The method ensures system stability while conserving communication and computation resources.
Area of Science:
- Control Theory
- Systems Engineering
- Applied Mathematics
Background:
- Switched systems are prevalent in control applications but face challenges with input/state saturation.
- Event-triggered control strategies are crucial for efficient resource management in modern systems.
Purpose of the Study:
- To develop an event-triggered H∞ control strategy for discrete-time switched systems with input and state saturation.
- To guarantee exponential stability using the average dwell time (ADT) method.
- To conserve communication and computational resources.
Main Methods:
- Design of state feedback and dynamic output feedback controllers using the convex hull method.
- Introduction of a dynamic event-triggered mechanism.
- Application of the average dwell time (ADT) method for stability analysis.
Main Results:
- Elimination of the adverse effects of input and state saturation on system performance.
- Significant savings in communication and computation resources through the dynamic event-triggered mechanism.
- Guaranteed H∞ exponential stability of the closed-loop system.
Conclusions:
- The proposed event-triggered H∞ control method effectively addresses saturation issues in discrete-time switched systems.
- The dynamic event-triggered mechanism enhances resource efficiency.
- The ADT-based approach ensures robust stability and performance.
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