Observer design for systems with multivariable monotone nonlinearities

Systems and Control Letters

Volumn 50, Issue 4, 2003, Pages 319-330

  Fan, Xingzhe ^a   Arcak, Murat ^a  

^a RENSSELAER POLYTECHNIC INSTITUTE   (United States)

Author keywords

Circle criterion; Multiplier; Nonlinear observer

Indexed keywords

ERROR ANALYSIS; LAGRANGE MULTIPLIERS; LINEAR CONTROL SYSTEMS; MATRIX ALGEBRA; THEOREM PROVING;

NONLINEAR OBSERVERS;

NONLINEAR CONTROL SYSTEMS;

EID: 0141887119     PISSN: 01676911     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-6911(03)00170-1     Document Type: Article

References (16)

1. Aamo O.M., Arcak M., Fossen T.I., Kokotović P.V. Global output tracking control of a class of Euler-Lagrange systems with monotonic nonlinearities in the velocities. Internat. J. Control. 74(7):2001;649-658.
2. M. Arcak, A global separation theorem for a new class of nonlinear observers, Proceedings of the 41st Conference on Decision and Control, Las Vegas, Nevada, December 2002, pp. 676-681.
3. M. Arcak, H. Gorgun, L.M. Pedersen, S. Varigonda, An adaptive observer design for fuel cell hydrogen estimation, Proceedings of the American Control Conference, Denver, Colorado, June 2003, to appear.
4. Arcak M., Kokotović P. Feasibility conditions for circle criterion design. Systems Control Lett. 42:2001;405-412.
5. Arcak M., Kokotović P. Nonlinear observers. a circle criterion design and robustness analysis Automatica. 37(12):2001;1923-1930.
6. Arcak M., Kokotović P. Observer-based control of systems with slope-restricted nonlinearities. IEEE Trans. Automat. Control. 4(7):2001;1146-1151.
7. A. Howell, J.K. Hedrick, Nonlinear observer design via convex optimization, in: Proceedings of the American Control Conference, Anchorage, Alaska, 2002, pp. 2088-2093.
8. Kazantzis N., Kravaris C. Nonlinear observer design using Lyapunov's auxiliary theorem. Systems Control Lett. 34:1998;241-247.
9. Khalil H.K. Nonlinear Systems. 2nd Edition:1996;Prentice-Hall, Englewood Cliffs, NJ.
10. Khalil H.K. High-gain observers in nonlinear feedback control. Nijmeijer H., Fossen T.I. New Directions in Nonlinear Observer Design. 1999;249-268 Springer, Berlin.
11. Krener A.J., Isidori A. Linearization by output injection and nonlinear observers. Systems Control Lett. 3:1983;47-52.
12. Lohmiller J.-J., Slotine W. On contraction analysis for nonlinear systems. Automatica. 34:1998;683-696.
13. Ortega J.M., Rheinboldt W.C. Interative Solution of Nonlinear Equations in Several Variables. 2000;SIAM, Philadelphia.
14. L. Praly, M. Arcak, On certainty-equivalence design of nonlinear observer-based controllers, Proceedings of the 41st Conference on Decision and Control, Las Vegas, Nevada, December 2002, pp. 1485-1490.
15. Raghavan S., Hedrick J.K. Observer design for a class of nonlinear systems. Internat. J. Control. 59:1994;515-528.
16. Thau F.E. Observing the state of non-linear dynamic systems. Internat. J. Control. 17:1973;471-479.