Stabilization of systems with asynchronous sensors and controllers
It addresses a practical problem in networked control systems where clock asynchrony is modeled as parametric uncertainty, offering theoretical guarantees for stability.
The paper studies stabilization of networked control systems with unknown clock offsets between sensors and controllers, providing sufficient conditions for multi-input linear systems and deriving maximum offset ranges for first-order systems.
We study the stabilization of networked control systems with asynchronous sensors and controllers. Offsets between the sensor and controller clocks are unknown and modeled as parametric uncertainty. First we consider multi-input linear systems and provide a sufficient condition for the existence of linear time-invariant controllers that are capable of stabilizing the closed-loop system for every clock offset in a given range of admissible values. For first-order systems, we next obtain the maximum length of the offset range for which the system can be stabilized by a single controller. Finally, this bound is compared with the offset bounds that would be allowed if we restricted our attention to static output feedback controllers.