Robust stability analysis using the small gain, circle, positivity, and Popov theorems: a comparative study

@article{Haddad1993RobustSA,
  title={Robust stability analysis using the small gain, circle, positivity, and Popov theorems: a comparative study},
  author={Wassim M. Haddad and Emmanuel G. Collins and Dennis S. Bernstein},
  journal={IEEE Trans. Contr. Sys. Techn.},
  year={1993},
  volume={1},
  pages={290-293}
}
This note analyzes the stability robustness of a Maximum Entropy controller designed for a benchmark problem. Four robustness tests are used: small gain analysis, circle analysis, positive real analysis, and Popov analysis, each of which is guaranteed to give a less conservative result than the previous test. The analysis here is performed graphically although recent research has developed equivalent tests based on Lya-punov theory. The Popov test is seen, for this example, to yield highly… CONTINUE READING

Citations

Publications citing this paper.

References

Publications referenced by this paper.
Showing 1-6 of 6 references

Application of Maximum EntropyQtimal Projection Design Synthesis to the Benchmark Problem

J. A. King, D. S. Bemstein
1991

Parameter - Dependent Lyapunov Functions , Constant Real Parameter Uncertainty , and the Popov Criterion in Robust Analysis and Synthesis : Part I , Part 11

D. S. Bemstein
Proc . IEEE Con $ Dec . Conrr . • 1991

Hyland “ Small Gain Versus Positive Real Modeling of Real Parameter Uncertainty

W. M. Haddad, C. D.
AIAA J . Guid . Contr . Dyn . • 1973

Analysis of Feedback Systems with Structured Uncertainties

J. C. Doyle
IEE Proc . , Part D . Vol .

Similar Papers

Loading similar papers…