A Linear Matrix Inequality for Robust Stability Analysis with Frequency-Dependent Multipliers

  title={A Linear Matrix Inequality for Robust Stability Analysis with Frequency-Dependent Multipliers},
  author={M. R. Graham and M. C. de Oliveira and R. de Callafon},
  journal={Proceedings of the 45th IEEE Conference on Decision and Control},
In this paper we introduce a linear matrix inequality (LMI) condition for robust stability analysis. The condition is expressed as a pair of convex inequalities that provides an upper bound for the structured singular that can be used to verify stability and performance robustness. This robust analysis test incorporates a particular class of frequency-dependent multipliers and can be limited to finite frequency intervals, features which can significantly reduce conservatism as compared to… CONTINUE READING

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Stability tests for constrained linear systems

  • M. C. de Oliveira, R. E. Skelton
  • Perspectives in Robust Control, ser. Lecture…
  • 2001
Highly Influential
5 Excerpts

Robustness analysis of flexible structures: Practical algorithms

  • G. Ferreres, J. Magni, J. Biannic
  • International Journal of Robust and Nonlinear…
  • 2003
1 Excerpt

When are multipliers exact?

  • C. Scherer
  • IFAC Symposium on Robust Control Design,
  • 2003
1 Excerpt

Stability tests for constrained linear systems , " in Perspectives in Robust Control , ser

  • J. Doyle, K. Glover
  • Lecture Notes in Control and Information Sience
  • 2001

Generalized s-procedure and finite frequency KYP lemma

  • T. Iwasaki, G. Meinsma, M. Fu
  • Mathematical Problems in Engineering, vol. 6, pp…
  • 2000
1 Excerpt

On the complexity of purely complex ,t computation and related problems in multidimensional systems

  • 0. Toker, H. Ozbay
  • IEEE Transactions on Automatic Control, vol. 43…
  • 1998
1 Excerpt

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