Novel LKF Method on H∞ Synchronization of Switched Time-Delay Systems
IEEE Transactions on Cybernetics
|October 10, 2022
Summary
This study achieves H∞ global asymptotic synchronization for switched nonlinear systems using novel double event-triggering mechanisms. This approach conserves communication resources while reducing system conservatism.
Area of Science:
- Control Systems Engineering
- Nonlinear Dynamics
- Networked Systems
Background:
- Switched nonlinear systems with delays present significant control challenges.
- Efficient communication resource utilization is critical in networked control systems.
- Achieving global asymptotic synchronization (GAS) under these conditions requires advanced methodologies.
Purpose of the Study:
- To investigate H∞ global asymptotic synchronization (GAS) for switched nonlinear systems with delays.
- To introduce mode-dependent double event-triggering mechanisms (DETMs) for resource conservation.
- To reduce the conservatism associated with synchronization analysis.
Main Methods:
- Design of mode-dependent double event-triggering mechanisms (DETMs) for system-controller (S-C) and controller-actuator (C-A) channels.
- Development of a novel multiple Lyapunov-Krasovskii functional (LKF) with time-varying matrices.
- Application of novel analysis techniques to ensure LKF increment is less than one at switching instants.
- Formulation of synchronization criteria using linear matrix inequalities (LMIs).
Main Results:
- Significant reduction in communication resource usage through DETMs.
- Lowered conservatism in synchronization results due to the novel LKF and analysis techniques.
- Successful exclusion of Zeno behavior for the DETMs.
- Simultaneous design of control gains, event-triggering weights, and minimum L2-gain via LMIs.
Conclusions:
- The proposed DETMs effectively conserve communication resources in switched nonlinear systems.
- The novel LKF and analysis techniques provide less conservative H∞ GAS results.
- The LMI-based approach enables integrated design of control and triggering parameters.
- Numerical examples and image processing validate the effectiveness and low conservatism of the method.
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