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Stability Analysis of Networked Control Systems With Aperiodic Sampling and Time-Varying Delay.
This study analyzes networked control systems with variable sampling and network delays. A new stability criterion using linear matrix inequality ensures system stability despite these uncertainties.
Area of Science:
- Control Systems Engineering
- Networked Systems
- Stability Analysis
Background:
- Networked control systems (NCS) face challenges from aperiodic sampling and network-induced delays.
- Variations in sampling intervals and transmission delays introduce uncertainties in NCS stability.
Purpose of the Study:
- To develop a stability criterion for NCS with aperiodic sampling and time-varying delays.
- To provide a method for analyzing the asymptotic stability of such complex systems.
Main Methods:
- The closed-loop system is modeled as a discrete-time system with multiple time-varying delays and norm-bounded uncertainties.
- The system is transformed into a delay-free interconnected subsystem model.
- The scaled small gain theorem is applied to derive the stability criterion.
Main Results:
- A novel asymptotic stability criterion for NCS with aperiodic sampling and time-varying delays is proposed.
- The criterion is formulated using linear matrix inequality (LMI), facilitating computational analysis.
- Numerical examples validate the method's effectiveness and superiority over existing approaches.
Conclusions:
- The proposed LMI-based method effectively guarantees the stability of NCS under aperiodic sampling and network-induced delays.
- This work offers a robust framework for designing and analyzing networked control systems with realistic network conditions.
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