• Mathematics, Computer Science
  • Published in IEEE Trans. Signal Processing 2001
  • DOI:10.1109/78.969506

Robust and reduced-order filtering: new LMI-based characterizations and methods

@article{Tuan2001RobustAR,
  title={Robust and reduced-order filtering: new LMI-based characterizations and methods},
  author={Hoang Duong Tuan and Pierre Apkarian and Truong Q. Nguyen},
  journal={IEEE Trans. Signal Processing},
  year={2001},
  volume={49},
  pages={2975-2984}
}
This paper addresses several challenging problems of robust filtering. We derive new linear matrix inequality (LMI) characterizations of minimum variance or H/sub 2/ performance and demonstrate that they allow the use of parameter-dependent Lyapunov functions while preserving tractability of the problem. The resulting conditions are less conservative than earlier techniques, which are restricted to fixed (not parameter-dependent) Lyapunov functions. The remainder of the paper discusses reduced… CONTINUE READING

Citations

Publications citing this paper.
SHOWING 1-10 OF 123 CITATIONS, ESTIMATED 94% COVERAGE

Robust H2 optimal filtering for continuous-time stochastic systems with polytopic parameter uncertainty

  • Automatica
  • 2008
VIEW 14 EXCERPTS
CITES METHODS, RESULTS & BACKGROUND
HIGHLY INFLUENCED

ROBUST H2 FILTERING FOR CONTINUOUS-TIME STOCHASTIC SYSTEMS WITH UNCERTAINTIES

VIEW 10 EXCERPTS
CITES RESULTS, BACKGROUND & METHODS
HIGHLY INFLUENCED

Model-based Feedforward Control for Inkjet Printheads

VIEW 4 EXCERPTS
CITES METHODS & BACKGROUND
HIGHLY INFLUENCED

A new design of robust H2 filters for uncertain systems

  • Systems & Control Letters
  • 2008
VIEW 5 EXCERPTS
CITES BACKGROUND & METHODS
HIGHLY INFLUENCED

LMI-based robust filtering: A survey

  • 2008 27th Chinese Control Conference
  • 2008
VIEW 8 EXCERPTS
HIGHLY INFLUENCED

FILTER CITATIONS BY YEAR

2000
2019

CITATION STATISTICS

  • 12 Highly Influenced Citations

References

Publications referenced by this paper.
SHOWING 1-10 OF 19 REFERENCES

Flexible LMI representations for analysis and synthesis in continuous-time, to appear in Proc. of CDC 2000, Sydney

P. Apkarian, H. D. Tuan, J. Bernussou
  • 2000
VIEW 5 EXCERPTS
HIGHLY INFLUENTIAL

Convex Analysis and Global Optimization

VIEW 5 EXCERPTS
HIGHLY INFLUENTIAL

Optimal linear filtering under parameter uncertainty

  • IEEE Trans. Signal Processing
  • 1999
VIEW 7 EXCERPTS
HIGHLY INFLUENTIAL

L2 optimal filter reduction: a closed-loop approach

  • IEEE Trans. Signal Processing
  • 1998
VIEW 3 EXCERPTS
HIGHLY INFLUENTIAL

H

H. D. Tuan, P. Apkarian, S. Hosoe
  • Tuy, D.C. optimization in robust control: the feasibility problems, Int. J. of Control 73
  • 2000
VIEW 2 EXCERPTS

A sequential SDP/Gauss-Newton algorithm for rank-constrained LMI problems

  • Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304)
  • 1999