2,958 research outputs found
Exploiting timing information in event-triggered stabilization of linear systems with disturbances
In the same way that subsequent pauses in spoken language are used to convey
information, it is also possible to transmit information in communication
networks not only by message content, but also with its timing. This paper
presents an event-triggering strategy that utilizes timing information by
transmitting in a state-dependent fashion. We consider the stabilization of a
continuous-time, time-invariant, linear plant over a digital communication
channel with bounded delay and subject to bounded plant disturbances and
establish two main results. On the one hand, we design an encoding-decoding
scheme that guarantees a sufficient information transmission rate for
stabilization. On the other hand, we determine a lower bound on the information
transmission rate necessary for stabilization by any control policy
Time-triggering versus event-triggering control over communication channels
Time-triggered and event-triggered control strategies for stabilization of an
unstable plant over a rate-limited communication channel subject to unknown,
bounded delay are studied and compared. Event triggering carries implicit
information, revealing the state of the plant. However, the delay in the
communication channel causes information loss, as it makes the state
information out of date. There is a critical delay value, when the loss of
information due to the communication delay perfectly compensates the implicit
information carried by the triggering events. This occurs when the maximum
delay equals the inverse of the entropy rate of the plant. In this context,
extensions of our previous results for event triggering strategies are
presented for vector systems and are compared with the data-rate theorem for
time-triggered control, that is extended here to a setting with unknown delay.Comment: To appear in the 56th IEEE Conference on Decision and Control (CDC),
Melbourne, Australia. arXiv admin note: text overlap with arXiv:1609.0959
Decentralized event-triggered control over wireless sensor/actuator networks
In recent years we have witnessed a move of the major industrial automation
providers into the wireless domain. While most of these companies already offer
wireless products for measurement and monitoring purposes, the ultimate goal is
to be able to close feedback loops over wireless networks interconnecting
sensors, computation devices, and actuators. In this paper we present a
decentralized event-triggered implementation, over sensor/actuator networks, of
centralized nonlinear controllers. Event-triggered control has been recently
proposed as an alternative to the more traditional periodic execution of
control tasks. In a typical event-triggered implementation, the control signals
are kept constant until the violation of a condition on the state of the plant
triggers the re-computation of the control signals. The possibility of reducing
the number of re-computations, and thus of transmissions, while guaranteeing
desired levels of performance makes event-triggered control very appealing in
the context of sensor/actuator networks. In these systems the communication
network is a shared resource and event-triggered implementations of control
laws offer a flexible way to reduce network utilization. Moreover reducing the
number of times that a feedback control law is executed implies a reduction in
transmissions and thus a reduction in energy expenditures of battery powered
wireless sensor nodes.Comment: 13 pages, 3 figures, journal submissio
Nonlinear Sampling and Lebesgue's Integral Sums
We consider nonlinear, or "event-dependent", sampling, i.e. such that the
sampling instances {tk} depend on the function being sampled. The use of such
sampling in the construction of Lebesgue's integral sums is noted and discussed
as regards physical measurement and also possible nonlinearity of singular
systems. Though the limit of the sums, i.e. Lebesgue's integral, is linear with
regard to the function being integrated, these sums are nonlinear in the sense
of the sampling. A relevant method of frequency detection not using any clock,
and using the nonlinear sampling, is considered. The mathematics and the
realization arguments essentially complete each other.Comment: This is a continuation of my research of the classification of
singular systems as linear and nonlinear (see IEEE CAS MAG, III, 2009 for
switched systems, and here in the ArXiv) to sampling systems. The noted
nonlinearity of Lebesgue's approximating sums, and an application of the
"psy-transform", introduced by me earlier, to signal analysis are the
examples. 5 pages, 4 figure
- …