Compressive sampling for networked feedback control

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.

[1]  Mohamed El Mongi Ben Gaïd,et al.  Networked Control Systems , 2007 .

[2]  E.J. Candes Compressive Sampling , 2022 .

[3]  Marc Teboulle,et al.  A Fast Iterative Shrinkage-Thresholding Algorithm for Linear Inverse Problems , 2009, SIAM J. Imaging Sci..

[4]  Daniel E. Quevedo,et al.  Sparse command generator for remote control , 2011, 2011 9th IEEE International Conference on Control and Automation (ICCA).

[5]  Giuseppe Di Battista,et al.  26 Computer Networks , 2004 .

[6]  M. Unser Sampling-50 years after Shannon , 2000, Proceedings of the IEEE.

[7]  Takahiro Matsuda,et al.  Compressive Sampling for Remote Control Systems , 2012, IEICE Trans. Fundam. Electron. Commun. Comput. Sci..

[8]  A. Alarcón,et al.  FUNDAMENTALS , 2000, Springer Monographs in Mathematics.

[9]  Daniel E. Quevedo,et al.  Sparse Representations for Packetized Predictive Networked Control , 2013, ArXiv.

[10]  Tamer Basar,et al.  Sparsity based feedback design: A new paradigm in opportunistic sensing , 2011, Proceedings of the 2011 American Control Conference.