Self-triggering strategy design for an n-dimensional quantized linear system under bounded noise
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Summary
This summary is machine-generated.This study introduces a self-triggered control strategy for stabilizing linear systems with communication limits. It achieves input-to-state stability (ISS) efficiently, outperforming periodic sampling and avoiding continuous monitoring.
Area Of Science
- Control Systems Engineering
- Networked Control Systems
- System Stability Analysis
Background
- Linear time-invariant systems are susceptible to communication constraints like finite bit rates and transmission delays.
- Process noise further complicates system stabilization, requiring robust control strategies.
- Existing event-triggered and periodic sampling methods have limitations in efficiency and monitoring demands.
Purpose Of The Study
- To develop a self-triggered control strategy for stabilizing n-dimensional linear time-invariant systems under communication constraints.
- To achieve input-to-state stability (ISS) with reduced communication overhead.
- To propose a strategy that alleviates the need for continuous system state monitoring.
Main Methods
- A self-triggering strategy is proposed, selecting sampling times from pre-designed instants based on system states.
- The strategy leverages encoded information of feedback packet arrival times.
- Input-to-state stability (ISS) is analyzed under finite bit rates, transmission delays, and bounded process noise.
Main Results
- The self-triggering strategy achieves the desired input-to-state stability (ISS).
- It requires a lower bit rate compared to traditional periodic sampling methods.
- The strategy avoids continuous system state monitoring, unlike event-triggered approaches.
Conclusions
- The proposed self-triggering control is an efficient method for stabilizing linear systems with communication constraints.
- It offers advantages over periodic and event-triggered sampling in terms of bit rate and monitoring requirements.
- Simulation results confirm the effectiveness of the developed self-triggering strategy.
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