Robust finite-time event-triggered H∞ boundedness for network-based Markovian jump nonlinear systems

Area of Science:

• Control Systems Engineering
• Nonlinear Systems Analysis
• Stochastic Systems

Background:

• Networked systems introduce challenges like delays and packet loss.
• Markovian jump systems exhibit abrupt changes in dynamics.
• Event-triggered control aims to reduce communication load.

Purpose of the Study:

• Investigate finite-time event-triggered H∞ boundedness for network-based Markovian jump nonlinear systems.
• Develop an improved model accounting for network-induced delay.
• Guarantee H∞ performance within a finite time.

Main Methods:

• Introduced an improved system model incorporating network-induced delay.
• Synthesized novel event-triggering conditions.
• Applied H∞ control theory for boundedness analysis.

Main Results:

• Established finite-time H∞ boundedness for the considered systems.
• Demonstrated the effectiveness of the proposed event-triggering strategy.
• Validated the theoretical results through a numerical example.

Conclusions:

• The proposed event-triggered control approach effectively guarantees finite-time H∞ boundedness.
• The method is robust to network-induced delays in Markovian jump nonlinear systems.
• The findings offer a valuable framework for designing reliable networked control systems.