Pole Assignment for Uncertain Systems in a Specified Disk by State Feedback

IEEE Transactions on Automatic Control

Volumn 40, Issue 1, 1995, Pages 184-190

  Garcia, Germain ^a   Bernussou, Jacques ^b  

^a Lab d'Automat et d'Anal des Syst   (France)

^b LAAS CNRS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; DISCRETE TIME CONTROL SYSTEMS; FEEDBACK; ITERATIVE METHODS; MATRIX ALGEBRA; POLES AND ZEROS; SYSTEM STABILITY;

DISCRETE RICCATI EQUATION; POLE ASSIGNMENT; QUADRATIC D STABILIZABILITY; STATE FEEDBACK; UNCERTAIN SYSTEMS;

LINEAR CONTROL SYSTEMS;

EID: 0029210180     PISSN: 00189286     EISSN: 15582523     Source Type: Journal    
DOI: 10.1109/9.362872     Document Type: Article

References (16)

1. A. V. Bogachev, V. V. Grigorev, V. N. Drozdov, and A. N. Korovyakov, “Analytic design of controls from root indicators,” Automat. Remote Contr., vol. 40, no. 8, 1979.
2. Y. Mori and Y. Shimemura, “On a design method for feedback control law to locate eigenvalues in a specified region,” S.I.C.E., vol. 16, no. 3, 1980 (in Japanese).
3. D. Arzelier, J. Bemussou, and G. Garcia, “Pole assignment of linear uncertain systems in a sector via a Lyapunov-type approach,” IEEE Trans. Automat. Contr., vol. 38, no. 7, 1993.
4. J. C. Geromel, G. Garcia, and J. Bernussou, “H2robust control with pole placement,” in Proc. 12th World I.F.A.C. Congress, Sydney, Australia, 1993.
5. K. Furuta, and S. B. Kim, “Pole assignment in a specified disk,” IEEE Trans. Automat. Contr., vol. 32, no. 5, 1987.
6. W. M. Haddad, D. S. Bernstein, “Controller design with regional pole constraints,” IEEE Trans. Automat. Contr., vol. 37, no. 1, 1992.
7. A. G. Mazco, “The Lyapunov matrix equation for a certain class of regions bounded by algebraic curves,” Soviet. Automat. Contr., 1980.
8. B. R. Barmish, “Necessary and sufficient conditions for quadratic stabilizability of an uncertain system,’J. Opt. Theory Appl., vol. 46, no. 4, 1985.
9. T. Basar and P. Bernhard, H∞-Optimal Control and Related Minimax Design Problems: A Dynamic Game Approach. Boston, MA: Birkhauser, 1991.
10. I. R. Petersen, “A stabilization algorithm for a class of uncertain linear systems,” Syst. Contr. Lett., vol. 8, 1987.
11. G. Garcia, J. Bernussou, and D. Arzelier, “Robust stabilization of discrete time linear systems with norm bounded time varying uncertainty,” Syst. Contr. Lett., 1993.
12. S. Bittanti, A. J. Laub, and J. Willems, Eds., The Riccati Equation.New York: Springer-Verlag, 1991.
13. T. Pappas, A. J. Laub, and N. R. Sandell, “On the numerical solution to the discrete-time algebraic Riccati equation,” IEEE Trans. Automat. Contr., vol. 25, no. 4, 1980.
14. B. R. Barmish, “Stabilization of uncertain systems via linear control,” IEEE Trans. Automat. Contr., vol. 28, no. 8, 1983.
15. J. C. Geromel, P. L. D. Peres, and J. Bernussou, “On a convex parameter space method for linear control design of uncertain systems,” SIAM Contr. Opt., vol. 29, no. 2, 1991.
16. W. E. Schmitendorf, “Designing stabilizing controllers for uncertain systems using the Riccati equation approach,” IEEE Trans. Automat. Contr., vol. 33, no. 4, 1988.