Nonlinear controllers for nonlinear passive systems with arbitrary input nonlinearities

Proceedings of the American Control Conference

Volumn 6, Issue , 2000, Pages 4149-4153

  Haddad, Wassim M ^a   Chellaboina, Vijay Sekhar ^b  

^a Georgia Institute of Technology   (United States)

^b UNIVERSITY OF MISSOURI   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ARBITRARY INPUTS; CLOSED LOOP STABILITY; DISSIPATIVITY; DYNAMIC COMPENSATOR; INPUT NON LINEARITIES; NON-LINEAR CONTROLLERS; PASSIVE SYSTEMS;

CONTROL; ASYMPTOTIC STABILITY; CLOSED LOOP CONTROL SYSTEMS; DISCRETE TIME CONTROL SYSTEMS; DYNAMICS; FEEDBACK CONTROL; LYAPUNOV METHODS; SYSTEM STABILITY; THEOREM PROVING;

NONLINEAR SYSTEMS; NONLINEAR CONTROL SYSTEMS;

DISSIPATIVITY THEORY; EUCLIDEAN VECTOR; NONLINEAR DYNAMIC COMPENSATOR; NONLINEAR PASSIVE SYSTEM;

EID: 0034542878     PISSN: 07431619     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ACC.2000.877002     Document Type: Conference Paper

References (8)

1. D. S. Bernstein and W. M. Haddad, "Nonlinear controllers for positive real systems with arbitrary in ut nonlinearities," IEEE Trans. Autom. Contr., vol. AC-39, pp. 1513-1517,1994.
2. K.S. Narendra and J. H. Taylor, Frequency Domain Criteria for Absolute Stability. New York: Academic Press, 1973.
3. J. C. Willems, "Dissipative dynamical systems part I: General theor ," Arch. Rational Mech. Anal., vol. 45, pp. 321-351, 1972.
4. P. J. Moylan, "Implications of passivity in a class of nonlinear systems," IEEE Trans. Autom. Contr., vol. 19, pp. 373-381, 1974.
5. D. J. Hill and P. J. Moylan, "The stability of nonlinear dissipative systems," IEEE Trans. Autom. Contr., vol. 21, pp. 708-711, 1976.
6. D. J. Hill and P. J. Moylan, "Stability results for nonvol. linear feedback systems," Automaticai vol. 13, pp. 377-382, 1977.
7. V. Chellaboina and W. M. Haddad, "Exponentially dissipative s stems: A nonlinear extension of strict positive realness," in Proc. Amer. Contr. Conf., (Chicago, IL), 2000.
8. J. P. LaSalle, "Some extensions of Liapunov's second method " IRE Trans. Czrc. Thy., vol. CT-7, pp. 520-527, 1960.