An explicit method for computing the positive real lemma matrices

International Journal of Robust and Nonlinear Control

Volumn 7, Issue 12, 1997, Pages 1057-1069

  Sadegh, Nader ^a   Finney, John D ^b   Heck, Bonnie S ^b  

^a GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

^b GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

Numerical methods; Strictly positive real

Indexed keywords

ALGORITHMS; MATRIX ALGEBRA; STATE SPACE METHODS; TRANSFER FUNCTIONS;

EXPLICIT METHOD; MULTIPLE INPUT MULTIPLE OUTPUT (MIMO) SYSTEMS; STRICTLY POSITIVE REAL (SPR) SYSTEMS;

MULTIVARIABLE CONTROL SYSTEMS;

EID: 0031357998     PISSN: 10498923     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1099-1239(199712)7:12<1057::AID-RNC253>3.0.CO;2-F     Document Type: Article

References (13)

1. Zeheb, E., 'A sufficient condition for output feedback stabilization of uncertain systems', IEEE Transactions on Automatic Control, 31, 1055-1057 (1986).
2. Yingmin, J., G. Weibing and M. Cheng, 'Robust strict positive real stabiliation for SISO uncertain systems', Systems & Control Letters, 19, 111-117 (1992).
3. Steinberg, A., 'A sufficient condition for output feedback stabilization of uncertain dynamic systems', IEEE Transactions on Automatic Control, 33, 676-677 (1988).
4. Narendra, K. and A. Annaswamy, Stable Adaptiv Systems, Prentice-Hall, 1989.
5. Khalil, H., Nonlinear Systems, Macmillan Publishing Co., New York, 1992.
6. Teixeira, M. C., 'Output variable structure control using strictly positive real systems', Proceedings of the IEEE International Workshop on Intelligent Motion Control, 1990, pp. 709-711.
7. Corless, M., 'Robust stability analysis and controller design with quadratic Lyapunov functions', in Variable Structure and Lyapunov Control, A. Zinober (Ed), Springer-Verlag, 1984, pp. 181-203.
8. Anderson, B. and S. Vogpanitlerd, Network Analysis and Synthesis: A Modern Systems Theory Approach, Prentice, Englewood Cliffs, NJ, 1973.
9. Weiss, H., Q. Wang and J. L. Speyer, 'System characterization of positive real conditions', IEEE Transactions on Automatic Control, 39, 540-544 (1994).
10. Narendra, K. and J. Taylor, Frequency Domain Criteria for Absolute Stability, Academic press, New York, 1973.
11. Tao, G. and P. Ioannou, 'Strictly positive real matrices and the Lefschetz-Kalman-Yakubovich lemma', IEEE Transactions on Automatic Control, 33, 1183-1185 (1988).
12. ∞ control problems', IEEE Transactions on Automatic Control, 34, 831-847 (1989).
13. Heck, B., S. Yallapragada and M. Fan, 'Numerical methods to design the reaching phase of output feedback variable structure control', Automatica, 31, 275-279 (1995).