A new parameterization of stable polynomials

IEEE Transactions on Automatic Control

Volumn 47, Issue 9, 2002, Pages 1546-1550

  Djaferis, T E ^a   Pepyne, D L ^b   Cushing, D M ^a  

^a University of Massachusetts   (United States)

^b HARVARD UNIVERSITY   (United States)

Author keywords

Robustness; Stability; Stability margin

Indexed keywords

ASYMPTOTIC STABILITY; BOUNDARY CONDITIONS; CONFORMAL MAPPING; FEEDBACK CONTROL; FREQUENCY DOMAIN ANALYSIS; LINEAR EQUATIONS; NYQUIST DIAGRAMS; POLYNOMIALS; ROBUSTNESS (CONTROL SYSTEMS); SYSTEM STABILITY; UNCERTAIN SYSTEMS;

FIXED ORDER CONTROL; MONIC POLYNOMIAL; PARAMETERIZATION; STABILITY MARGIN; STABLE POLYNOMIALS;

PARAMETER ESTIMATION;

EID: 0036740934     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2002.802733     Document Type: Article

References (6)

1. T. E. Djaferis, Robust Control Design: A Polynomial Approach. Boston, MA: Kluwer, 1995.
2. T. E. Djaferis, D. L. Pepyne, and D. M. Cushing, "An ordinal optimization framework for robust design," in Proc. 40th IEEE Conf. Decision and Control, Orlando, FL, Dec. 2001, pp. 4388-4393.
3. J. C. Doyle, B. A. Francis, and A. R. Tannenbaum, Feedback Control Theory. New York: Macmillan, 1992.
4. T. E. Djaferis and D. M. Cushing, "Robust control design using stable polynomial parameterizations," in Proc. Amer. Control Conf., Anchorage, AK, May 2002.
5. F. R. Gantmacher, The Theory of Matrices. New York: Chelsea, 1959, vol. I and II.
6. R. J. Minnichelli, J. J. Anagnost, and C. A. Desoer, "An elementary proof of Kharitonov's stability theorem with extensions," IEEE Trans. Automat. Contr., vol. 34, pp. 995-998, Sept. 1989.