A New Adaptive Law for Robust Adaptation Without Persistent Excitation

IEEE Transactions on Automatic Control

Volumn 32, Issue 2, 1987, Pages 134-145

  Narendra, Kumpati S ^a   Annaswamy, Anuradha M ^a  

^a YALE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

SYSTEM STABILITY;

BOUNDED DISTURBANCE; FIRST-ORDER PLANT; NTH-ORDER PLANT;

CONTROL SYSTEMS, ADAPTIVE;

EID: 0023288277     PISSN: 00189286     EISSN: 15582523     Source Type: Journal    
DOI: 10.1109/TAC.1987.1104543     Document Type: Article

References (23)

1. P. A. Joannou and P. V. Kokotovic, Adaptive Systems with Reduced Models. New York: Springer-Verlag, 1983.
2. B. B. Peterson and K. S. Narendra, “Bounded error adaptive control,” IEEE Trans. Automat. Contr., vol. AC-27, pp. 1161–1168, Dec. 1982.
3. B. Egardt, Stability of Adaptive Controllers. New York: Springer-Verlag, 1979.
4. G. Kreisselmeier and K. S. Narendra, “Stable model reference adaptive control in the presence of bounded disturbances,” IEEE Trans. Automat. Contr., vol. AC-27, pp. 1169–1175, Dec. 1982.
5. C. Samson, “Stability analysis of adaptively controlled system subject to bounded disturbances,” Automatica, vol. 19, pp. 81–86, 1983.
6. A. M. Annaswamy and K. S. Narendra, “Stabilization of adaptive systems in the presence of bounded disturbances using a dead-zone,” in Proc. 4th Yale Workshop Applications of Adaptive Syst. Theory, Yale Univ., New Haven, CT, May 1985.
7. K. S. Narendra and A. M. Annaswamy, “Robust adaptive control in the presence of bounded disturbances,” IEEE Trans. Automat. Contr., vol. AC-31, pp. 306–315, Apr. 1986.
8. K. S. Narendra and P. Kudva, “Stable adaptive schemes for system identification and control-Parts I&II,” IEEE Trans. Syst. Man Cybern., vol. SMC-4, pp. 541–560, Nov. 1974.
9. J. P. LaSalle, “Some extensions of Liapunov's second method,” IRE Trans. Circuit Theory, pp. 520–527, Dec. 1960.
10. K. S. Narendra and L. S. Valavani, “Stable adaptive controller design-Direct Control,” IEEE Trans. Automat. Contr., vol. AC-23, pp. 570–583, 1978.
11. K. S. Narendra and Y. H. Lin, “Design of stable model reference adaptive controllers,” in Applications of Adaptive Control. New York: Academic, 1980.
12. J. S. W. Wong, “Remarks on global asymptotic stability of certain quasi-linear differential equations,” in Proc. Amer. Math. Soc., vol. 17, Aug. 1966.
13. K. S. Narendra and A. M. Annaswamy, “Persistent excitation in adaptive systems,” Int. J. Contr., to be published.
14. K. S. Narendra and A. P. Morgan, “On the uniform asymptotic stability of certain linear nonautonomous differential equations,” SIAM J. Contr. Optimiz., vol. 15, pp. 5–24, Jan. 1977.
15. S. Boyd and S. S. Sastry, “On parameter convergence in adaptive control,” Syst. Contr. Lett., vol. 3, pp. 311–319, 1983.
16. G. Kreisselmeier, “On adaptive state regulation,” IEEE Trans. Automat. Contr., vol. AC-29, pp. 3–17, Feb. 1982.
17. K. S. Narendra, I. H. Khalifa, and A. M. Annaswamy, “Error models for stable hybrid adaptive systems,” IEEE Trans. Automat. Contr., vol. AC-30, pp. 339–347, Apr. 1985.
18. P. A. Ioannou and K. Tsakalis, “A robust direct adaptive controller,” in Proc. Conf. Decision Contr., FL, 1985.
19. I. G. Malkin, “Theory’ of stability’ of motion,” U.S. Atomic Energy Commission, Tech. Rep. 3352, English Ed. 1958.
20. L. Hsu and R. R. Costa, “Bursting phenomena in continuous adaptive systems with a forgetting factor,” Dept. Elec. Eng., COPPE/UFRJ, Rio de Janeiro, Brazil, Tech. Rep., 1985.
21. B. D. O. Anderson, “Adaptive systems, lack of persistency of excitation and bursting phenomena,” Automatica, vol. 21, 1985.
22. L. Praly, “Robustness of model reference adaptive control,” in Proc. 3rd. Yale Workshop on Applications of Adaptive Syst. Theory, Yale Univ., New Haven, CT, 1983.
23. G. Kreisselmeier and B. D. O. Anderson, “Robust model reference adaptive control.” IEEE Trans. Automat. Contr., vol. AC-31, pp. 127–133, 1986.