Robust D-stability with mixed-type uncertainties

IEEE Transactions on Automatic Control

Volumn 49, Issue 10, 2004, Pages 1878-1882

  An, Senjian ^a   Liu, Wanquan ^a  

^a CURTIN UNIVERSITY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL COMPLEXITY; CONTROL SYSTEM ANALYSIS; OPTIMAL CONTROL SYSTEMS; SYSTEM STABILITY; THEOREM PROVING; TRANSFER FUNCTIONS; UNCERTAIN SYSTEMS;

INTERVAL PLANTS; MIXED TYPE UNCERTAINTIES; PARAMETRIC PROBLEM; STABILITY ANALYSIS; STRUCTURED UNCERTAINTIES; UNSTRUCTURED UNCERTAINTIES;

ROBUSTNESS (CONTROL SYSTEMS);

EID: 7244247496     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2004.835594     Document Type: Article

References (10)

1. H. Chapellat, M. Dahleh, and S. P. Battacharyya, "Robust stability under structured and unstructured perturbations," IEEE Trans. Automat. Contr., vol. 35, pp. 1100-1108, Sept. 1990.
2. A. C. Bartlett, "Nyquist, Bode, and Nichols plots of uncertain systems," in Proc. Amer. Control Conf., San Diego, CA, May 1990, pp. 2033-2036.
3. M. Fu, "Computing the frequency response of linear systems with parametric perturbations," Syst. Control Lett., vol. 15, pp. 45-52, 1990.
4. T. Mori and S. Barnett, "On stability tests for some classes of dynamical systems with perturbed coefficients," IMA J. Math. Control Inform., vol. 5, pp. 117-123, 1988.
5. ∞ performance of interval plants and interval feedback systems," presented at the IEEE Conf. Decision and Control, Tucson, AZ, Dec. 1992.
6. ∞ problems of weighted interval plants," IEEE Trans. Automat. Contr., vol. 45, pp. 332-335, Feb. 2000.
7. V. L. Kharitonov, "Asymptotic stability of an equilibrium position of a familily of systems of linear differential equations," Diff. Uravnen., vol. 14, pp. 2086-2088, 1978.
8. A. Datta and S. P. Bhattacharyya, "On a quantitative theory of robust adaptive control: An interval plant approach," IEEE Trans. Automat. Contr., vol. 41, pp. 570-571, Apr. 1996.
9. S. P. Bhattacharyya, H. Chapellat, and L. H. Keel, "Robust control," in The Parametric Approach. Upper Saddle River, NJ: Prentice-Hall, 1995.
10. W. Q. Liu, V. Sreeram, and K. L. Teo, "Model reduction for symmetric systems," Syst. Control Lett., vol. 34, no. 4, pp. 209-216, 1998.