The nyquist robust stability margin - A new metric for the stability of uncertain systems

International Journal of Robust and Nonlinear Control

Volumn 7, Issue 2, 1997, Pages 211-226

  Latchman, Haniph A ^a   Crisalle, Oscar D ^a   Basker, V R ^a  

^a University of Florida   (United States)

Author keywords

Multivariable stability margin; Robust stability; Unstructured uncertainty

Indexed keywords

CLOSED LOOP CONTROL SYSTEMS; CONTROL NONLINEARITIES; NYQUIST DIAGRAMS; OPTIMIZATION; PARAMETER ESTIMATION; POLYNOMIALS; ROBUSTNESS (CONTROL SYSTEMS); SYSTEM STABILITY; TRANSFER FUNCTIONS;

CRITICAL DIRECTION THEORY; NYQUIST ROBUST STABILITY MARGIN; UNCERTAIN SYSTEMS;

CONTROL THEORY;

EID: 0031077217     PISSN: 10498923     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1099-1239(199702)7:2<211::AID-RNC299>3.0.CO;2-8     Document Type: Article

References (15)

1. MacFarlane, A. G. J., Complex Variable Methods for Linear Multivariable Feedback Systems, Taylor and Francis, London, (1982).
2. Safonov, M., 'Stability margins of diagonally perturbed multivariable feedback systems', IEE Proceedings Part D, 129, 251-256 (1982).
3. Doyle, J. C., 'Analysis of feedback systems with structured uncertainties', IEE Proceedings Part D, 129, 242-250 (1982).
4. Kouvaritakis, B. and H. A. Latchman, 'Necessary and sufficient stability criteria for systems with structured uncertainties: the major principal direction alignment principle', Int. J. Control, 42(6), 575-598 (1985).
5. Guzzella, L., O. D. Crisalle, F. Kraus and D. Bonvin, 'Necessary and sufficient conditions for the robust stabilizing control of linear plants with ellipsoidal parametric uncertainties', Proceedings of Conference on Decision Control, Brighton, U.K., 2948-2953 1991, pp. 2948-2953, IEEE, Piscataway, New Jersey.
6. Latchman, H. A. and O. D. Crisalle, 'Exact robustness analysis for highly structured frequency domain uncertainties', Proceedings of the 1995 American Control Conference, Seattle, Washington, 1995, pp. 3982-3987.
7. Barmish, B. R., New Tools for Robustness of Linear Systems, Macmillan Publishing Company, New York, 1993.
8. Doyle, J. C., B. A. Francis and A. R. Tannenbaum, Feedback Control Theory, Macmillan Publishing Company, New York, (1992).
9. Bhattacharya, S., L. H. Keel and S. P. Bhattacharyya, 'Robust stabilizer synthesis for interval plants using H-infinity methods', Proceedings of Conference on Decision and Control, San Antonio, Taxas, 1993, pp. 3003-3008, IEEE, Piscataway, New Jersey.
10. Daniel, R. W. and B. Kouvaritakis, 'A new robust stability criterion for linear and non-linear multivariable feedback systems', Int. J. Control, 41, 1349-1379 (1985).
11. Kouvaritakis, B. and H. A. Latchman, 'Singular-value and eigenvalue techniques in the analysis of systems with structured perturbations', Int. J. Control, 41(6), 1381-1412 (1985).
12. Kosut, R. L., M. K. Lau and S. P. Boyd, 'Set membership identification of systems with parametric and non-parametric uncertainties', IEEE Trans. Automat. Control, AC-37(7), 929-941 (1992).
13. Lau, M., S. Boyd, R. Kosut and G. Franklin, 'A robust control design for FIR plants with parameter set uncertainty', Proceedings of American Control Conference, Boston, Massachusetts, 1991, pp. 83-88, IEEE, Piscataway, New Jersey.
14. p-robust stability of continuous linear systems', IEEE Trans. Automat. Control, AC-36(12), 1464-1469 (1991).
15. Kouvaritakis, B., J. A. Rossiter and J. Wang, 'Generalized Nyquist bands for structured and highly structured uncertainty', Int. J. Control, 53(6), 1295-1309 (1991).