Title
Multiple descriptions for packetized predictive control.
Abstract
In this paper, we propose to use multiple descriptions (MDs) to achieve a high degree of robustness towards random packet delays and erasures in networked control systems. In particular, we consider the scenario, where a data-rate limited channel is located between the controller and the plant input. This forward channel also introduces random delays and dropouts. The feedback channel from the plant output to the controller is assumed noiseless. We show how to design MDs for packetized predicted control (PPC) in order to enhance the robustness. In the proposed scheme, a quantized control vector with future tentative control signals is transmitted to the plant at each discrete time instant. This control vector is then transformed into M redundant descriptions (packets) such that when receiving any 1≤J≤M packets, the current control signal as well as J−1 future control signals can be reliably reconstructed at the plant side. For the particular case of LTI plant models and i.i.d. channels, we show that the overall system forms a Markov jump linear system. We provide conditions for mean square stability and derive upper bounds on the operational bit rate of the quantizer to guarantee a desired performance level. Simulations reveal that a significant gain over conventional PPC can be achieved when combining PPC with suitably designed MDs.
Year
DOI
Venue
2016
10.1186/s13634-016-0343-1
EURASIP J. Adv. Sig. Proc.
Keywords
Field
DocType
Quantization, Networked control, Multiple descriptions
Control theory,Control theory,Computer science,Network packet,Model predictive control,Communication channel,Robustness (computer science),Discrete time and continuous time,Control system,Quantization (signal processing)
Journal
Volume
Issue
ISSN
2016
1
1687-6180
Citations 
PageRank 
References 
1
0.37
28
Authors
2
Name
Order
Citations
PageRank
Jan Østergaard120128.38
Daniel E. Quevedo21393100.60