Abstract
In this paper, we consider robust source coding in closed-loop systems. In particular, we
consider a (possibly) unstable LTI system, which is to be stabilized via a network. The network
has random delays and erasures on the data-rate limited (digital) forward channel between
the encoder (controller) and the decoder (plant). The feedback channel from the decoder to
the encoder is assumed noiseless. Since the forward channel is digital, we need to employ
quantization.We combine two techniques to enhance the reliability of the system. First, in order
to guarantee that the system remains stable during packet dropouts and delays, we transmit
quantized control vectors containing current control values for the decoder as well as future
predicted control values. Second, we utilize multiple description coding based on forward error
correction codes to further aid in the robustness towards packet erasures. In particular, we
transmit M redundant packets, which are constructed such that when receiving any J packets,
the current control signal as well as J-1 future control signals can be reliably reconstructed
at the decoder. We prove stability subject to quantization constraints, random dropouts, and
delays by showing that the system can be cast as a Markov jump linear system.
consider a (possibly) unstable LTI system, which is to be stabilized via a network. The network
has random delays and erasures on the data-rate limited (digital) forward channel between
the encoder (controller) and the decoder (plant). The feedback channel from the decoder to
the encoder is assumed noiseless. Since the forward channel is digital, we need to employ
quantization.We combine two techniques to enhance the reliability of the system. First, in order
to guarantee that the system remains stable during packet dropouts and delays, we transmit
quantized control vectors containing current control values for the decoder as well as future
predicted control values. Second, we utilize multiple description coding based on forward error
correction codes to further aid in the robustness towards packet erasures. In particular, we
transmit M redundant packets, which are constructed such that when receiving any J packets,
the current control signal as well as J-1 future control signals can be reliably reconstructed
at the decoder. We prove stability subject to quantization constraints, random dropouts, and
delays by showing that the system can be cast as a Markov jump linear system.
Original language | English |
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Title of host publication | IEEE Data Compression Conference DCC : DCC |
Number of pages | 10 |
Publisher | IEEE Press |
Publication date | Mar 2013 |
Pages | 311-320 |
ISBN (Print) | 978-1-4673-6037-1 |
ISBN (Electronic) | 978-0-7695-4965-1 |
DOIs | |
Publication status | Published - Mar 2013 |
Event | IEEE Data Compression Conference - The Cliff Lodge, Snowbird, United States Duration: 20 Mar 2013 → 22 Mar 2013 Conference number: 30553 |
Conference
Conference | IEEE Data Compression Conference |
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Number | 30553 |
Location | The Cliff Lodge |
Country/Territory | United States |
City | Snowbird |
Period | 20/03/2013 → 22/03/2013 |
Series | Data Compression Conference. Proceedings |
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ISSN | 1068-0314 |