Robustness analysis for systems with ellipsoidal uncertainty

International Journal of Robust and Nonlinear Control

Volumn 8, Issue 13, 1998, Pages 1113-1117

  Braatz, Richard D ^a   Crisalle, Oscar D ^b  

^a UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

^b UNIVERSITY OF FLORIDA   (United States)

Author keywords

Multiparameter margin; Real mixed ; Robust stability

Indexed keywords

COMPUTATIONAL METHODS; CONSTRAINT THEORY; MATHEMATICAL MODELS; ROBUSTNESS (CONTROL SYSTEMS); SYSTEM STABILITY; UNCERTAIN SYSTEMS;

ELLIPSOIDAL UNCERTAINTY;

CONTROL SYSTEM ANALYSIS;

EID: 0032204005     PISSN: 10498923     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1099-1239(1998110)8:13<1113::AID-RNC375>3.0.CO;2-B     Document Type: Article

References (8)

1. Chen, J., M. K. H. Fan and C. N. Nett, 'Structured singular values and stability analysis of uncertain polynomials, Part 1: the generalized μ', Systems Control Lett., 23, (1994) 53-65.
2. Chen, J., M. K. H. Fan and C. N. Nett, 'Structured singular values and stability analysis of uncertain polynomials, Part 2: a missing link', Systems Control Lett., 23, (1994) 97-109.
3. Braatz, R. D., P. M. Young, J. C. Doyle and M. Morari, 'Computational complexity of μ calculation', Proc. American Control Conf., San Francisco, California, 1993, pp. 1682-1683.
4. Ljung, L., System Identification: Theory for the User, Prentice-Hall, Englewood Cliffs, NJ, 1987.
5. Biernacki, R. M., H. Hwang and S. P. Bhattacharyya, 'Robust stability with structured real parameter variations', IEEE Trans. Automat Control, 32, 495-505 (1987).
6. Hinrichsen, D. and A. J. Pritchard, 'New robustness results for linear systems with real perturbations', Proc. of the IEEE Conf. on Decision and Control, 1988, pp. 1375-1379.
7. Latchman, H. A., O. D. Crisalle and V. R. Basker, The Nyquist robust stability margin - a new metric for the stability of uncertain systems', Int. J. Robust Nonlinear Control, 7, (1997) 211-226.
8. Qui, L. and E. J. Davison, 'A simple procedure for the exact stability robustness margin computation of polynomials with affine coefficient perturbations', Systems Control Lett., 13, (1989) 413-420.