Rudolf Sailer

Parsimonious event-triggered distributed control: A Zeno free approach ✩

Consider the problem of stabilizing large-scale systems by distributed controllers, where the controllers exchange information via a shared limited communication medium. Event-triggered sampling schemes are proposed, in which each system decides when to transmit new information across the network based on the crossing of some error thresholds, which only depend on information locally available at individual subsystems. Stability of the interconnected large-scale system is inferred by applying a generalized small-gain theorem.

On a small-gain approach to distributed event-triggered control

Abstract In this paper the problem of stabilizing large-scale systems by distributed controllers, where the controllers exchange information via a shared limited communication medium is addressed. An event-triggered sampling scheme is proposed, in which each system decides when to transmit new information across the network based on the crossing of some error threshold. Stability of the interconnected large-scale system is inferred by applying a generalized small-gain theorem.

Brief paperParsimonious event-triggered distributed control: A Zeno free approach☆

Consider the problem of stabilizing large-scale systems by distributed controllers, where the controllers exchange information via a shared limited communication medium. Event-triggered sampling schemes are proposed, in which each system decides when to transmit new information across the network based on the crossing of some error thresholds, which only depend on information locally available at individual subsystems. Stability of the interconnected large-scale system is inferred by applying a generalized small-gain theorem.

Event-based control

Event-based control is a control methodology that is currently being developed as a means to reduce the communication between the sensors, the controller and the actuators in a control loop. The sampling instants are not determined periodically by a clock, but by an event generator, which adapts the information flow in the feedback loop to the current behavior of the closed-loop system. A communication among the components is invoked only after an event has indicated that the control error exceeds a tolerable bound.

On inter-sampling times for event-triggered large-scale linear systems

We consider the problem of stabilizing large-scale linear systems by distributed controllers, where the controllers exchange information via a shared limited communication medium. A small-gain approach for the design of stabilizing event-triggering schemes is discussed in this context. Using the line of thought that was recently used in the definition of parsimonious triggering, we derive lower bounds on the inter-sampling times associated to such event-triggering schemes.

Comments on "A Multichannel IOS Small Gain Theorem for Systems With Multiple Time-Varying Communication Delays

The small-gain condition presented by Polushin may be replaced by a strictly weaker one to obtain essentially the same result. The necessary minor modifications of the proof are given. Using essentially the same arguments, a global version of the result is also presented.

Multichannel small-gain theorems for large scale networked systems

We consider large scale interconnected systems where some of the interconnections are characterized by uncertain bounded delays. The delays may for instance be due to a communication network connecting some or all of the subsystems. Using a general formulation of comparison functions we derive a small-gain theorem for local practical stability of such large scale systems. The results build on some generalizations of recent results on the class of monotone aggregation functions and almost inversion of general small-gain operators.

Analysis of Networked Systems

In this chapter fundamental properties of networked control systems are discussed that characterize obstructions to and requirements for the control of interconnections through digital channels. On the one hand, this chapter relates to general problems of the characterization of controllability and observability properties of interconnected systems, where information is distributed via communication channels. On the other hand, it is of interest to characterize the necessary bandwidth required to control a system or an interconnection of systems. The latter question is related to dynamic properties of the physical system as well as the communication channel under consideration.

Stabilization by Encoded Feedback with Markovian Communication Channels

Abstract We consider stabilization over communication channels with delays and packet loss. Using a variation of dynamic quantization an encoder/decoder scheme is presented which is able to achieve stabilization if a closed loop system exists which is ISS with respect to measurement errors. Conditions for stabilization require bounds on the long-term average throughput of the communication channel. In communication channels which can be modelled as Markov processes this can be guaranteed almost surely provided an ergodicity assumption is met.