Brief paper: Limitations in remote stabilization over unreliable channels without acknowledgements
Automatica (Journal of IFAC)
Brief paper: Tradeoffs between quantization and packet loss in networked control of linear systems
Automatica (Journal of IFAC)
Binary causal-adversary channels
ISIT'09 Proceedings of the 2009 IEEE international conference on Symposium on Information Theory - Volume 4
A stochastic control viewpoint on 'posterior matching'-style feedback communication schemes
ISIT'09 Proceedings of the 2009 IEEE international conference on Symposium on Information Theory - Volume 3
Some observations on limited feedback for multiaccess channels
ISIT'09 Proceedings of the 2009 IEEE international conference on Symposium on Information Theory - Volume 1
Automation and Remote Control
Allerton'09 Proceedings of the 47th annual Allerton conference on Communication, control, and computing
Codes against online adversaries
Allerton'09 Proceedings of the 47th annual Allerton conference on Communication, control, and computing
Zero-rate feedback can achieve the empirical capacity
IEEE Transactions on Information Theory
A little feedback can simplify sensor network cooperation
IEEE Journal on Selected Areas in Communications - Special issue on simple wireless sensor networking solutions
Anytime Reliable Transmission of Real-Valued Information through Digital Noisy Channels
SIAM Journal on Control and Optimization
Control and dynamics of linear systems under finite quantised feedback
International Journal of Systems, Control and Communications
Redundant data transmission in control/estimation over lossy networks
Automatica (Journal of IFAC)
Automatica (Journal of IFAC)
Automatica (Journal of IFAC)
Hi-index | 754.91 |
In this paper, we review how Shannon's classical notion of capacity is not enough to characterize a noisy communication channel if the channel is intended to be used as part of a feedback loop to stabilize an unstable scalar linear system. While classical capacity is not enough, another sense of capacity (parametrized by reliability) called "anytime capacity" is necessary for the stabilization of an unstable process. The required rate is given by the log of the unstable system gain and the required reliability comes from the sense of stability desired. A consequence of this necessity result is a sequential generalization of the Schalkwijk-Kailath scheme for communication over the additive white Gaussian noise (AWGN) channel with feedback. In cases of sufficiently rich information patterns between the encoder and decoder, adequate anytime capacity is also shown to be sufficient for there to exist a stabilizing controller. These sufficiency results are then generalized to cases with noisy observations, delayed control actions, and without any explicit feedback between the observer and the controller. Both necessary and sufficient conditions are extended to continuous time systems as well. We close with comments discussing a hierarchy of difficulty for communication problems and how these results establish where stabilization problems sit in that hierarchy