Conditions for Designing Strictly Positive Real Transfer Functions for Adaptive Output Error Identification

IEEE Transactions on Circuits and Systems

Volumn 34, Issue 7, 1987, Pages 731-736

  Dasgupta, Soura ^a   Bhagwat, Ajay S ^a  

^a UNIVERSITY OF IOWA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL SYSTEMS, ADAPTIVE - IDENTIFICATION;

HURWITZ POLYNOMIALS; OUTPUT ERROR ADAPTIVE IDENTIFICATION; ROUTH-TYPE CONDITION; STRICTLY POSITIVE REAL (SPR) TRANSFER FUNCTIONS;

MATHEMATICAL TECHNIQUES;

EID: 0023383098     PISSN: 00984094     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCS.1987.1086198     Document Type: Article

References (14)

1. P. C. Parks, “Lyapunov redesign of model reference adaptive control schemes,” IEEE Trans. Automat. Contr., vol. AC-11, pp. 362-361,1966
2. Y. D. Landau, Adaptive Control: The Model Reference Approach. New York: Marcel Dekker, 1979.
3. G. Lüders and K. S. Narendra, “Stable adaptive schemes for estimation and identification of linear systems,” IEEE Trans. Automat. Contr., vol. AC-19, pp. 841–847, Dec. 1974.
4. A. P. Morgan and K. S. Narendra, “On the stability of non-autonomous differential equations x = (A + B (t)) x(t) with skew symmetric matrix B(t),“ SIAM J. Contr., vol. 15, pp. 163–167, Jan. 1977.
5. K. S. Narendra and L. S. Valavani, “A comparison of Lyapunov and hyperstability approaches to adaptive control of continuous systems,” IEEE Trans. Automat. Contr., vol. AC-25, pp. 243–247, Apr. 1980.
6. C. R. Johnson, Jr., “A convergence proof for a hyperstable adaptive recursive filter,” IEEE Trans. Inform. Theory, vol. IT-25, pp. 746–749, Nov. 1979.
7. B. D. O. Anderson, “An approach to multivariable system identification,” Automatica, vol. 13, pp. 401–408, 1977.
8. B. D. O. Anderson, “Exponential stability of linear equations arising in adaptive identification,” IEEE Trans. Contr., vol. AC-22, pp. 83–88, Feb. 1977.
9. S. Dasgupta, B. D. O. Anderson, and R. J. Kaye, “Output error identification methods for partially known systems,” Int. J. Contr., vol. 43, no. 1, pp. 177–191, 1986.
10. V. L. Kharitonov, “Asymptotic stability of an equilibrium position of a family of systems of linear differential equations,” Differential Equations, pp. 1483–1485, Nov. 1985.
11. F. R. Gantmacher, Theory of Matrices, vol. II. New York: Chelsea, 1959.
12. E. I. Jury, Inners and Stability of Dynamic Systems. Melbourne, FL:
13. B. D. O. Anderson, R. R. Bitmead, C. R. Johnson, Jr., P. V. Kokotovic, R. L. Kosut, I. Mareels, L. Praly, and B. Riedle, Stability of Adaptive Systems: Passivity and Averaging Analysis. Cambridge, MA: MIT Press, 1986.
14. N. K. Bose, “A system-theoretic approach to stability of sets of polynomials,” Contemporary Math. AMS, vol. 47, pp. 25–34, 1985.