Structured finite-dimensional controller design by convex optimization

Linear Algebra and Its Applications

Volumn 351-352, Issue , 2002, Pages 639-669

  Scherer, Carsten W ^a  

^a DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

Lyapunov design; Multi objective control; Optimal control; Robust control; Semi definite programming; Structured controller design

Indexed keywords

CLOSED LOOP SYSTEMS; CONVEX OPTIMIZATION; DESIGN; ROBUST CONTROL;

LYAPUNOV DESIGN; MULTI-OBJECTIVE CONTROL; OPTIMAL CONTROLS; SEMI-DEFINITE PROGRAMMING; STRUCTURED CONTROLLERS;

CONTROLLERS;

EID: 31244434468     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0024-3795(01)00512-2     Document Type: Article

References (28)

1. J.A. Ball, I. Gohberg, and L. Rodman Interpolation of Rational Matrix Functions vol. 45 1990 Birkäuser Basel
2. U. Baser, M.K.K. Cevik, and J.M. Schumacher Disturbance decoupling and robustness of stability Int. J. Robust Nonlinear Control 10 15 2000 1317 1336
3. ∞ performance bound: a Riccati equation approach IEEE Trans. Automat. Control 34 1989 293 305
4. S.P. Boyd, and G.H. Baratt Linear Controller Design - Limits of Performance 1991 Prentice-Hall Englewood Cliffs, NJ
5. ∞ Control Theory 1987 Springer Berlin
6. ∞ control Int. J. Robust Nonlinear Control 4 1994 421 448
7. 2-design of decentralized controllers Proc. Amer. Contr. Conf., San Diego, CA 1999 3826 3830
8. A. Helmersson IQC synthesis based on inertia constraints Proc. 14th IFAC World Congress, Bejing, China 1999 163 168
9. H.A. Hindi, B. Hassibi, and S.P. Boyd Multiobjective H 2 / H∞ -optimal control via finite dimensional Q-parametrization and linear matrix inequalities Proc. Amer. Contr. Conf., Philadelphia 1998 3244 3248
10. T. Iwasaki, and R.E. Skelton All controllers for the general H∞ control problem: LMI existence conditions and state space formulas Automatica 30 1994 1307 1317
11. I. Masubuchi, A. Ohara, and N. Suda LMI-based controller synthesis: a unified formulation and solution Int. J. Robust Nonlinear Control 8 1998 669 686
12. M. Mesbahi, M.G. Safonov, and P. Papavassilopoulos Bilinearity and complementarity in robust control L. El Ghaoui, S.I. Niculescu, Advances in Linear Matrix Inequality Methods in Control 1999 SIAM Philadelphia 269 292
13. R.K. Pransath, and M.A. Rotea Interpolation with multiple norm constraints Math. Control Signals Systems 10 1997 165 187
14. M.A. Rotea, and R.K. Pransath An interpolation approach to multiobjective H∞ design Int. J. Control 65 1996 699 720
15. C.W. Scherer A complete algebraic solvability test for the nonstrict Lyapunov inequality Systems Control Lett. 25 1995 327 335
16. ∞ control IEEE Trans. Automat. Control 40 1995 1054 1062
17. ∞ problems Proc. 38th IEEE Conf. Decision and Control, Phoenix, Arizona 1999 3605 3610
18. C.W. Scherer Robust mixed control and LPV control with full block scalings L. El Ghaoui, S.I. Niculescu, Advances in Linear Matrix Inequality Methods in Control 1999 SIAM Philadelphia 187 207
19. C.W. Scherer Design of structured controllers with applications Proc. 39th IEEE Conf. Decision and Control Sydney, Australia 2000 6
20. C.W. Scherer An efficient solution to multi-objective control problems with LMI objectives Systems Control Lett. 40 2000 43 57
21. C.W. Scherer LPV control and full block multipliers Automatica 37 2001 361 375
22. C.W. Scherer, P. Gahinet, and M. Chilali Multi-objective output-feedback control via LMI optimization IEEE Trans. Automat. Control 42 1997 896 911
23. S. Skogestad, and I. Postlethwaite Multivariable Feedback Control, Analysis and Design 1996 Wiley New York
24. D.D. Sourlas, and V. Manousiouthakis Best achievable decentralized performance IEEE Trans. Automat. Control 40 1995 1858 1871
25. M. Sznaier An exact solution to general SISO mixed H∞ / H 2 problems via convex optimization IEEE Trans. Automat. Control 39 1994 2511 2517
26. M. Vidyasagar Control System Synthesis: A Factorization Approach 1985 MIT Press Cambridge, MA
27. P.G. Voulgaris Control of nested systems Proc. Amer. Contr. Conf., Chicago 2000 4442 4445
28. P.G. Voulgaris A convex characterization of classes of problems in control with specific interaction and communication structures Proc. Amer. Contr. Conf., Arlington, VA 2001 3128 3135