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Discretization-based stabilization for a class of switched linear systems with communication delays
Pengfei Li1, Yu Kang1, Yun-Bo Zhao2
1Department of Automation, University of Science and Technology of China, Hefei, 230027, China; State Key Laboratory of Fire Science, University of Science and Technology of China, Hefei, 230027, China; Institute of Advanced Technology, University of Science and Technology of China, Hefei, 230001, China.
ISA Transactions
|June 5, 2018
Summary
This study addresses network-induced stabilization for switched linear systems with random delays. It develops new methods for ensuring exponential mean-square stability in both synchronous and asynchronous scenarios.
Area of Science:
- Control Systems Engineering
- Networked Systems
- Stochastic Systems
Background:
- Switched linear systems are crucial in control engineering.
- Networked environments introduce challenges like communication delays.
- Stabilization under uncertainty is a key research area.
Purpose of the Study:
- Investigate the stabilization of switched linear systems in a network environment.
- Address both synchronous and asynchronous cases considering actuator information.
- Incorporate Markovian random communication delays for a more realistic model.
Main Methods:
- Extend discretization approaches for sampled-data systems with Markovian delays.
- Formulate the asynchronous case as a hybrid system.
- Analyze switching signals and mode sets to derive stability conditions.
Main Results:
- Derived exponential mean-square stability (EMSS) conditions for synchronous and asynchronous switched systems.
- Developed mode-dependent controllers for the closed-loop system.
- Validated the approach with two numerical examples.
Conclusions:
- The proposed discretization approach effectively handles sampled-data switched systems with Markovian delays.
- The derived EMSS conditions and controllers are applicable under general constraints.
- The study provides a robust framework for stabilizing networked switched systems.
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