Robust stability and performance analysis of systems with hysteresis nonlinearities

Proceedings of the American Control Conference

Volumn 3, Issue , 1998, Pages 1904-1908

  Paré, Thomas E ^a   How, Jonathan P ^b  

^a Stanford University   (United States)

^b 496 Lomita Mall   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANALYSIS AND SYNTHESIS; HYSTERESIS NON LINEARITIES; NUMERICAL EXAMPLE; ROBUST PERFORMANCE; ROBUST STABILITY AND PERFORMANCE; SECTOR-BOUNDED NONLINEARITIES; SISO SYSTEMS; STABILITY THEOREMS;

HYSTERESIS; LINEAR MATRIX INEQUALITIES; UNCERTAINTY ANALYSIS;

SYSTEM STABILITY;

EID: 0003919805     PISSN: 07431619     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ACC.1998.707353     Document Type: Conference Paper

References (13)

1. N. Barabanov and V. Yakubovich. Absolute Stability of Control Systems with One Hysteresis Nonlinearity. Avtomatika i Telemekhanika, 12:5-12, Dec. 1979.
2. S. Boyd, L. E. Ghaoui, E. Feron, and V. Balakrishan. Linear Matrix Inequalities in System and Control Theory. SIAM, 1994.
3. P. A. Cook. Nonlinear Dynamical Systems. Prentice-Hall, 1994.
4. C. A. Desoer and M. Vidyasagar. Feedback Systems: Input-Output Properties. Prentice-Hall, Englewood Cliffs, NJ, 1975.
5. R. B. Gorbet, K. Morris, and D. Wang. Stability of control for the preisach hysteresis model. In IEEE Conf. on Robotics and Automation, volume 1, pages 241-247, 1997.
6. J. C. Hsu and A. U. Meyer. Modern Control Principles and Applications. McGraw-Hill, 1968.
7. U. Jönsson. Stability of uncertain systems with hysteresis nonlinearities. Technical report, Dept. of Automatic Control, Lund Inst, of Tech., 1996.
8. I. D. Mayergoyz. Mathematical Models of Hysteresis. Springer-Verlag, New York, NY, 1991.
9. A. Netushil. Theory of Automatic Control. Mir Publishers, 1973.
10. M. Vidyasagar. Nonlinear Systems Analysis, 2nd Ed. Academic Press, New York, NY, 1993.
11. J. C. Willems. Dissipative dynamical systems part II: Linear systems with quadratic supply rates. In Archive Rational Mechanics Analysis, volume 45. 1972.
12. V. Yakubovich. The method of matrix inequalities in the stability theory of nonlinear nontrol systems, III. Absolute Stability of Systems with Hysteresis Nonlinearities. Automation and Remote Control, 26:753-763, Apr. 1967.
13. K. Zhou. Essentials of Robust Control. Prentice-Hall, 1998.