Recent papers on compressed sensing for control systems

In my past entry, I mentioned that compressed sensing is not so popular in control systems community. However, there are a couple of researches on control systems with compressed sensing.

Trajectory generation

• H. Ohlsson, F. Gustafsson, L. Ljung, and S. Boyd,
  Trajectory generation using sum-of-norms regularization,
  49th IEEE Conference on Decision and Control (CDC),
  pp. 540-545, 15-17 Dec. 2010.
  

State observation

• M. B. Wakin, B. M. Sanandaji, and T. L. Vincent,
  On the observability of linear systems from random, compressive measurements,
  49th IEEE Conference on Decision and Control (CDC),
  pp. 4447-4454, 15-17 Dec. 2010.
  
• S. Bhattacharya and T. Basar,
  Sparsity based feedback design: A new paradigm in opportunistic sensing,
  American Control Conference (ACC),
  pp. 3704-3709, June 29 2011-July 1 2011.
  

Optimal control

• O. I. Kostyukova, E. A. Kostina, and N. M. Fedortsova,
  Parametric optimal control problems with weighted L1-norm in the cost function,
  Automatic Control and Computer Sciences,
  Vol. 44, No. 4, pp. 179-190, 2010.
  
• S. Schuler, C. Ebenbauer, and F. Allgower,
  L0-system gain and L1-optimal control,
  18th IFAC World Congress,
  pp. 9230-9235, 2011.
  
• M. Fardad, L. Fu, and M. R. Jovanovic,
  Sparsity-promoting optimal control for a class of distributed systems,
  American Control Conference (ACC),
  pp. 2050-2055, June 29 2011-July 1 2011.
  
• L. Mathelin, L. Pastur, and L. Maitre
  A compressed-sensing approach for closed-loop optimal control of nonlinear systems,
  Theoretical and computational fluid dynamics,
  Vol. 26, No. 1-4, pp. 319-337, 2012.
  

Networked control

• M. Nagahara and D. E. Quevedo,
  Sparse representations for packetized predictive networked control,
  18th IFAC World Congress,
  pp. 84-89, Aug 2011.
  
• M. Nagahara, D. E. Quevedo, J. Ostergaard, T. Matsuda, and K. Hayashi,
  Sparse command generator for remote control,
  9th IEEE International Conference on Control and Automation (ICCA),
  pp. 1055-1059, 19-21 Dec. 2011.
  
• M. Nagahara, D. E. Quevedo, T. Matsuda, and K. Hayashi,
  Compressive sampling for networked feedback control,
  IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP),
  pp. 2733-2736, Mar., 2012. (Poster)
  
• M. Nagahara, T. Matsuda, and K. Hayashi,
  Compressive sampling for remote control systems,
  IEICE Transactions on Fundamentals,
  Vol. E95-A, No. 4, pp. 713-722, 2012.
  
• M. Nagahara, D. E. Quevedo, and J. Ostergaard,
  Sparsely-packetized predictive control by orthogonal matching pursuit,
  Mathematical Theory of Networks and Systems (MTNS2012),
  Jul. 2012.
  

As I mentioned before, there remain difficulties to use CS for control systems (esp. closed-loop ones).  I believe this subject (CS for control systems) will become more important.

Related entries:
Compressed sensing meets control systems