Input-to-state stabilization of linear systems under data-rate constraints
This work addresses stabilization for control systems under communication limitations, providing a robust solution with theoretical guarantees, though it appears incremental as it builds on existing methods to enhance stability properties.
The paper tackles feedback stabilization of continuous-time linear systems with finite data-rate constraints and unknown disturbances by proposing a communication and control strategy using sampled and quantized state measurements, achieving input-to-state stability (ISS) and improving upon prior results that only offered practical ISS or lacked explicit data-rate conditions.
We study feedback stabilization of continuous-time linear systems under finite data-rate constraints in the presence of unknown disturbances. A communication and control strategy based on sampled and quantized state measurements is proposed, where the quantization range is dynamically adjusted using reachable-set propagation and disturbance estimates derived from quantization parameters. The strategy alternates between stabilizing and searching stages to handle escapes from the quantization range and employs an additional quantization symbol to ensure robustness near the equilibrium. It guarantees input-to-state stability (ISS), improving upon existing results that yield only practical ISS or lack explicit data-rate conditions. Simulation results illustrate the effectiveness of the strategy.