Solvability of static output-feedback stabilization for LTI positive systems

Systems and Control Letters

Volumn 60, Issue 9, 2011, Pages 704-708

  Ait Rami, Mustapha ^a  

^a UNIVERSITY OF VALLADOLID   (Spain)

Author keywords

Linear programming; Output stabilization; Positive controls; Positive systems

Indexed keywords

INITIAL CONDITIONS; MULTIINPUT; OUTPUT STABILIZATION; POSITIVE CONTROLS; POSITIVE LINEAR SYSTEMS; POSITIVE SYSTEMS; STABILIZATION PROBLEMS; STATIC OUTPUT-FEEDBACK; STATIC OUTPUT-FEEDBACK STABILIZATION;

ASYMPTOTIC STABILITY; FEEDBACK CONTROL; LINEAR PROGRAMMING; LINEAR SYSTEMS; NONLINEAR CONTROL SYSTEMS;

STABILIZATION;

EID: 80051796204     PISSN: 01676911     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.sysconle.2011.05.007     Document Type: Article

References (23)

1. D. Mustafa LQG optimal scalar static output feedback Systems and Control Letters 27 1996 9 19 (Pubitemid 126412703)
2. D. Henrion, M. ebek, V. Kucera, An algorithm for static output feedback simultaneous stabilization, in: 15th Triennial World Congress of the International Federation of Automatic Control, Barcelona, Spain, 2002.
3. V.L. Syrmos, C. Abdallah, P. Dorato, Static output feedback: a survey, in Proc. IEEE Conf. Decision Contr., 1994.
4. Blondel, and J.N. Tsitsiklis NP-hardness of some linear control design problems European J. Contr. 1 1995 5 23
5. B.D. Anderson, N.K. Bose, and E.I. Jury Output feedback stabilization and related problems Solution via decision methods IEEE Trans. Automat. Contr. 20 1975 53 66
6. L. El Ghaoui, F. Oustry, and M. Ait Rami A cone complementarity linearization algorithm for static output-feedback and related problems IEEE Trans. Automat. Contr. 42 1997 1171 1176 (Pubitemid 127760291)
7. Y. He, and Q.G. Wang An improved ILMI method for static output feedback control with application to multivariable PID control IEEE Trans. Automat. Contr. 51 2006 1678 1683
8. A. Berman, M. Neumann, and R.J. Stern Nonnegative Matrices in Dynamic Systems 1989 Wiley New York
9. L. Farina, and S. Rinaldi Positive Linear Systems: Theory and Applications 2000 Wiley New York
10. T. Kaczorek Positive 1D and 2D Systems 2002 Springer-Verlag
11. D.G. Luenberger Introduction to Dynamic Systems 1979 Wiley New York
12. J.A. Jacquez Compartmental Analysis in Biology and Medicine 1985 University of Michigan Press Ann Arbor, MI
13. H. Caswell Matrix Population Models: Construction, Analysis and Interpretation 2001 Sinauer Associates Sunderland, MA
14. R. Shorten, F. Wirth, and D. Leith A positive systems model of TCP-like congestion control: asymptotic results IEEE/ACM Transactions on Networking 14 2006 616 629 (Pubitemid 43985051)
15. P. De Leenheer, and D. Aeyels Stabilization of positive linear systems Systems and Control Letters 44 2001 861 868
16. T. Kaczorek Stabilization of positive linear systems by state feedback Pomiary, Automatyka, Kontrola 1999 2 5
17. S. Boyd, L. El Ghaoui, E. Feron, and V. Balakrishnan Linear Matrix Inequalities in System and Control Theory Studies in Applied Mathematics vol. 15 1994 SIAM Philadelphia, PA
18. H. Gao, J. Lam, C. Wang, and S. Xu Control for stability and positivity: Equivalent conditions and computation IEEE Trans. Circuits Syst. II, Exp. Briefs 52 2005 540 544 (Pubitemid 41444679)
19. M. Ait Rami, and F. Tadeo Controller synthesis for positive linear systems with bounded controls Transactions on Circuits and Systems II 54 2007 151 155 (Pubitemid 46477681)
20. B. Rozak, and E.J. Davison Necessary and sufficient conditions for stabilizability of positive LTI systems Systems & Control letters 27 2009 474 481
21. N. Dautrebande, G. Bastin, Positive linear observers for positive systems, in: Proceeding of the European Control Conference, Karlsruhe, Germany, 1999.
22. J. Back, A. Astofli, Positive linear observers for positive linear systems, in: Proceeding of American Control Conference, Minneapolis, Minnesota, USA, 2006.
23. M. Fu Pole placement via static output feedback is NP-Hard IEEE Trans. Automat. Contr. 49 2004 855 857