Novel delay-partitioning stabilization approach for networked control system via Wirtinger-based inequalities

Area of Science:

• Control Systems Engineering
• Networked Systems
• Stability Theory

Background:

• Networked control systems (NCS) face challenges from network-induced delays and data packet dropouts, impacting system stability.
• Existing methods often simplify or ignore the full impact of these network uncertainties.
• Robust stability analysis and control design are crucial for reliable NCS operation.

Purpose of the Study:

• To develop a novel approach for stability analysis of NCS that fully accounts for network-induced delay and packet dropouts.
• To design a state feedback stabilization controller based on the improved stability criteria.
• To demonstrate the effectiveness and superiority of the proposed methods through numerical examples.

Main Methods:

• A delay-partitioning approach is introduced to manage network-induced delay and packet dropout information.
• Augmented Lyapunov-Krasovskii functionals (LKFs) with triple-integral terms are constructed for distinct delay subintervals.
• Wirtinger-based inequalities and improved reciprocal convexity are employed for accurate LKF derivative estimation.

Main Results:

• The proposed methods yield improved stability conditions for NCS without significant increases in computational complexity.
• A stabilization controller design approach is successfully derived from the enhanced stability criterion.
• Numerical examples confirm the effectiveness and outperformance of the developed techniques.

Conclusions:

• The novel delay-partitioning approach effectively addresses stability analysis challenges in NCS with network uncertainties.
• The developed methods provide a more accurate and computationally efficient way to ensure NCS stability and design controllers.
• The findings contribute to the advancement of robust control strategies for networked systems.