Decentralized periodic event-triggered control with quantization and asynchronous communication

Abstract

Asynchronous decentralized event-triggered control (ADETC) [6] is an implementation of controllers characterized by decentralized event generation, asynchronous sampling updates, and dynamic quantization. Combining those elements in ADETC results in a parsimonious transmission of information which makes it suitable for wireless networked implementations. We extend the previous work on ADETC by introducing periodic sampling, denoting our proposal asynchronous decentralized periodic event-triggered control (ADPETC), and study the stability and L2-gain of ADPETC for implementations affected by disturbances. In ADPETC, at each sampling time, quantized measurements from those sensors that triggered a local event are transmitted to a dynamic controller that computes control actions; the quantized control actions are then transmitted to the corresponding actuators only if certain events are also triggered for the corresponding actuator. The developed theory is demonstrated and illustrated via a numerical example.

Asynchronous Sampling for Decentralized Periodic Event-Triggered Control

“…In this paper, we have proposed a decentralized periodic event-triggered control with asynchronous sampling scheme. Unlike the work in [7] and [10] that require the sensors to sample the system output synchronously at the same time, in our approach we apply the asynchronous sampling. This means that each sensor will sample the system output at its unique time which limits the number of samplings per each sampling time to one.…”

“…[3]- [5], [12], [13], [17], [19]) which makes them applicable to large-scale CPSs where sensor and actuator nodes are not physically collocated and span over multi-km distances. The work presented in [10] and [7] further refined the existing designs by introducing a decentralized periodic event-triggered control (DPETC) scheme that does not require sensors to continuously monitor the systems' outputs. The scheme uses only local information and it allows the update of the controller output via same eventtriggered mechanism.…”

“…Simulation result when w = 0: system state and inter-event intervals. Simulation result when w(t) = 10 sin(2πt), t =[4,7]: evolution of z and w, and inter-event intervals.…”

Decentralized event‐triggered control of large‐scale nonlinear systems

“…The purpose of this paper is to propose a new solution to decentralized event‐triggered control of large‐scale nonlinear systems. In other works, decentralized event‐triggered controllers are designed for large‐scale linear systems. The ETMs were designed in the context of decentralized nonlinear control in previous works .…”

Event-Triggered Adaptive Backstepping Control for Strict-Feedback Nonlinear Systems with Zero Dynamics

“…What is more, event-triggered schemes also show advantages in consensus and synchronization of multiagent systems in [26][27][28][29]. Besides, some results on event-triggered control have also been applied on real systems (see in [30][31][32][33][34][35][36][37]). They extend the range of applications of the event-triggered control scheme.…”