An LMI approach to structured sparse feedback design in linear control systems

@article{Polyak2013AnLA,
  title={An LMI approach to structured sparse feedback design in linear control systems},
  author={Boris T. Polyak and Mikhail V. Khlebnikov and Pavel Shcherbakov},
  journal={2013 European Control Conference (ECC)},
  year={2013},
  pages={833-838}
}
Consider the classical state feedback design in the linear system ẋ = Ax + Bu subject to performance specifications with an additional requirement that the control input vector u = Kx has as many zero entries as possible. The corresponding gain K is referred to as a row-sparse controller. We propose an approach to approximate solution of this kind of nonconvex problems by formulating the proper convex surrogate,-the minimization of a certain matrix norm subject to LMI constraints. The novelty… CONTINUE READING
Highly Cited
This paper has 65 citations. REVIEW CITATIONS

Citations

Publications citing this paper.
Showing 1-10 of 44 extracted citations

Row-column sparse linear quadratic controller design via Bi-linear rank penalty technique and non-fragility notion

2017 25th Mediterranean Conference on Control and Automation (MED) • 2017
View 4 Excerpts
Highly Influenced

Performance bounds for optimal feedback control in networks

2018 Annual American Control Conference (ACC) • 2018

Structured Sparse Approximation of a Linear Undirected Consensus Network

2018 IEEE 14th International Conference on Control and Automation (ICCA) • 2018

65 Citations

0102030'14'15'16'17'18'19
Citations per Year
Semantic Scholar estimates that this publication has 65 citations based on the available data.

See our FAQ for additional information.

References

Publications referenced by this paper.
Showing 1-10 of 18 references

Description of the benchmark examples in COMPleib 1.0

F. Leibfritz, W. Lipinski
Technical report, • 2003
View 3 Excerpts
Highly Influenced

and T

A. Quattoni, X. Carreras, M. Collins
Darrell. An efficient projection for l1,∞ regularization. In Proceedings of the 26th International Conference on Machine Learning, Montreal • 2009
View 1 Excerpt

Estimation and Control over Communication Networks

A. S. Matveev, A. V. Savkin
Birkhäuzer, Boston • 2008
View 1 Excerpt

Cybernetical Physics: From Control of Chaos to Quantum Control

A. L. Fradkov
Springer • 2007
View 1 Excerpt

Similar Papers

Loading similar papers…