Multiobjective output-feedback control via LMI optimization

IEEE Transactions on Automatic Control

Volumn 42, Issue 7, 1997, Pages 896-911

  Scherer, Carsten ^a,b   Gahinet, Pascal ^a,c   Chilali, Mahmoud ^d  

^a IEEE   (Netherlands)

^b DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

^c MATHWORKS INC   (United States)

^d INRIA ROCQUENCOURT   (France)

Author keywords

Controller parameter change; Linear matrix inequalities; Lyapunov shaping paradigm; Multichannel multiobjective control

Indexed keywords

CLOSED LOOP CONTROL SYSTEMS; CONSTRAINT THEORY; CONTROL SYSTEM SYNTHESIS; DESCRIBING FUNCTIONS; LYAPUNOV METHODS; MATRIX ALGEBRA; OPTIMIZATION; PARAMETER ESTIMATION; POLES AND ZEROS;

LINEAR MATRIX INEQUALITY (LMI); MULTICHANNEL MULTIOBJECTIVE CONTROL;

FEEDBACK CONTROL;

EID: 0031191562     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/9.599969     Document Type: Article

References (34)

1. J. Abedor, K. Nagpal, P. P. Khargonekar, and K. Poolla, "Robust regulation in the presence of norm-bounded uncertainty," IEEE Trans. Automat. Contr., vol. 40, pp. 147-153, 1995.
2. 2 performance," Syst. Contr. Lett., vol. 23, pp. 431-443, 1994.
3. _, "A linear matrix inequality approach to peak-to-peak gain minimization," Int. J. Robust Nonlinear Contr., vol. 6, pp. 899-927, 1996.
4. B. D. O. Anderson and S. Vongpanitlerd, Network Analysis. Englewood Cliffs, NJ: Prentice-Hall, 1973.
5. ∞ control with pole placement, state-feedback case," in Proc. Amer. Contr. Conf., 1993, pp. 2777-2779.
6. B. R. Barmish, "Stabilization of uncertain systems via linear control," IEEE Trans. Automat. Contr., vol. AC-28, pp. 848-850, 1983.
7. ∞ performance bound: A Riccati equation approach," IEEE Trans. Automat. Contr., vol. 34, pp. 293-305, 1989.
8. S. P. Boyd and L. El Ghaoui, "Method of centers for minimizing generalized eigenvalues," Lin. Alg. Appl., vol. 188, pp. 63-111, 1993.
9. S. Boyd, L. El Ghaoui, E. Feron, and V. Balakrishnan, Linear Matrix Inequalities in Systems and Control Theory. Philadelphia, PA: SIAM, 1994.
10. M. K. K. Cevik and J. M. Schumacher, "The regulator problem with robust stability," Rep. BS-R9321, CWI, Amsterdam, 1993.
11. ∞ design with pole placement constraints An LMI approach," IEEE Trans. Automat. Contr., vol. 41, pp. 358-367, 1996.
12. E. J. Davison, "The robust control of a servomechanism problem for linear time-invariant multivariable systems," IEEE Trans. Automat. Contr., vol. AC-21, pp. 25-34, 1976.
13. ∞ performances objectives II: Optimal control," IEEE Trans. Automat. Contr. vol. 39, pp. 1575-1587, 1994.
14. B. A. Francis, "The linear multivariable regulator problem," SIAM J. Contr. Optim., vol. 15, pp. 486-505, 1977.
15. ∞ Control Theory, Lecture Notes in Control and Information Sciences, no. 88. Berlin: Springer-Verlag, 1987.
16. ∞ control," Int. J. Robust Nonlinear Contr., vol. 4, pp. 421-448, 1994.
17. ∞ synthesis," Automatica, to appear.
18. P. Gahinet, A. Nemirovski, A. J. Laub, and M. Chilali, LMI Control Toolbox. Natick, MA: The MathWorks, 1995.
19. ∞ control problem: LMI existence conditions and state space formulas," Automatica, vol. 30, pp. 1307-1317, 1994.
20. M. Nakamura, W. Koterayama, H. Kajiwara, and T. Mitamura, "Application of a dynamic positioning system to a moored floating platform," in Proc. 4th Int. Offshore Polar Eng. Conf., 1994, pp. 190-197.
21. H. Kajiwara, W. Koterayama, M. Nakamura, and P. Gahinet, "LMI-based design of dynamic positioning control laws for a moored floating platform model," in Proc. 14th SICE Kyushu Branch Annu. Conf., 1995, pp. 181-184.
22. ∞ control: A convex optimization approach," IEEE Trans. Automat. Contr., vol. 39, pp. 824-837, 1991.
23. I. Masubuchi, N. Suda, and A. Ohara, "LMI-based controller synthesis: A unified formulation and solution," in Proc. Amer. Contr. Conf., 1995, pp. 3473-3477.
24. I. Masubuchi, A. Ohara, and N. Suda, "LMI-based controller synthesis A unified formulation and solution," Int. J. Robust Nonlinear Contr., submitted.
25. A. Nemirovski and P. Gahinet, "The projective method for solving linear matrix inequalities," Math. Programming Series B, to be published;
26. also in Proc. Amer. Contr. Conf., 1994, pp. 840-844.
27. Y. Nesterov and A. Nemirovski, Interior Point Polynomial Methods in Convex Programming: Theory and Applications. Philadelphia, PA: SIAM, 1994.
28. 2 control problem," Automatica, vol. 29, pp. 373-385, 1993.
29. ∞-optimal control," Ph.D. dissertation, Univ. Würzburg, Germany, 1990.
30. ∞ control," in Trends in Control, A European Perspective, A. Isidori, Ed. Berlin: Springer-Verlag, 1995, pp. 173-216.
31. _, "From LMI analysis to multichannel mixed LMI synthesis: A general procedure," Selected Topics Identification, Modeling Contr., vol. 8, pp. 1-8, 1995.
32. W. Sun, P. P. Khargonekar, and D. Shim, "Solution to the positive real control problem for linear time-invariant systems," IEEE Trans. Automat. Contr., vol. 39, pp. 2034-2046, 1994.
33. L. Vandenberghe and S. Boyd, "Primal-dual potential reduction method for problems involving matrix inequalities," Math. Program. Series B, vol. 69, pp. 205-236, 1995.
34. J. C. Willems, "Least-squares stationary optimal control and the algebraic Riccati equation," IEEE Trans. Automat. Contr., vol. AC-21, pp. 319-338, 1971.