We investigate the use of compressive sampling for networked feedback control systems. The method proposed serves to compress the control vectors which are transmitted through rate-limited channels without much deterioration of control performance. The control vectors are obtained by an ℓ¹-ℓ² optimization, which can be solved very efficiently by FISTA (Fast Iterative Shrinkage-Thresholding Algorithm). Simulation results show that the proposed sparsity-promoting control scheme gives a better control performance than a conventional energy-limiting L²-optimal control.
2012 IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP 2012). 2012 IEEE International Conference on Acoustics, Speech, and Signal Processing Proceedings (Kyoto, Japan 25-30 March, 2012) p. 2733-2736