Title
Coding and Control over Discrete Noisy Forward and Feedback Channels
Abstract
We consider the problem of stabilizability of remote LTI systems where both the forward (from the sensor to the controller) and the feedback (from the controller to the plant) channels are noisy, discrete, and memoryless. In- formation theory and the theory of Markov processes are used to obtain necessary and sufficient conditions (both structural and operational) for stabilizability, with the conditions being on error exponents, delay and source-channel codes. These results generalize some of the existing results in the literature which assume either the forward or the reverse channel to be noise-free. We observe that unlike continuous alphabet channels, discrete channels entail a substantial complexity in encoding the unbounded state and control spaces for control of noisy plants. We introduce a state-space encoding scheme utilizing the dynamic evolution. We also present variable-length coding through variable-sampling to transmit countably infinite symbols over a finite channel.
Year
DOI
Venue
2005
10.1109/CDC.2005.1582541
conference on decision and control
Keywords
DocType
ISSN
motion control,sampling methods,markov process,channel coding,control systems,markov processes,decoding,variable length code,state space,error exponent,information theory,feedback
Conference
0743-1546
ISBN
Citations 
PageRank 
0-7803-9567-0
7
0.58
References 
Authors
6
2
Name
Order
Citations
PageRank
Yuksel, S.170.58
Tamer Basar23497402.11