1st International Workshop Control over Communication Channels

Research Article

Rate Allocation for Quantized Control over Noisy Channels

  • @INPROCEEDINGS{10.1109/WIOPT.2009.5291582,
        author={Lei Bao and Mikael Skoglund and Carlo Fischione and Karl Henrik Johansson},
        title={Rate Allocation for Quantized Control over Noisy Channels},
        proceedings={1st International Workshop Control over Communication Channels},
        publisher={IEEE},
        proceedings_a={CONCOM},
        year={2009},
        month={10},
        keywords={quantized control noisy channel high-rate quantization},
        doi={10.1109/WIOPT.2009.5291582}
    }
    
  • Lei Bao
    Mikael Skoglund
    Carlo Fischione
    Karl Henrik Johansson
    Year: 2009
    Rate Allocation for Quantized Control over Noisy Channels
    CONCOM
    IEEE
    DOI: 10.1109/WIOPT.2009.5291582
Lei Bao1,*, Mikael Skoglund1,*, Carlo Fischione1,*, Karl Henrik Johansson1,*
  • 1: ACCESS Linnaeus Center and Royal Institute of Technology, Stockholm, Sweden
*Contact email: lei.bao@ee.kth.se, skoglund@ee.kth.se, carlofi@ee.kth.se, kallej@ee.kth.se

Abstract

To achieve satisfactory overall performance, optimal rate allocation in a networked control system with highly limited communication resources is instrumental. In this paper, a rate allocation technique for state feedback control in linear dynamic systems over a noisy channel is proposed. The method consists of two steps: (i) the overall cost is expressed as a function of rates at all time instants by means of high-rate quantization theory, and (ii) a constrained optimization problem to minimize the overall distortion is solved. It is shown that a non-uniform quantization is in general the best strategy for state feedback control over noisy channels. Monte Carlo simulations illustrate the proposed scheme, which is shown to have good performance when compared to arbitrarily selected rate allocations.