Second-order nonsmooth optimization for H∞ synthesis

IFAC Proceedings Volumes (IFAC-PapersOnline)

Volumn 5, Issue PART 1, 2006, Pages 501-506

  Bompart, Vincent ^a,b   Noll, Dominikus ^b   Apkarian, Pierre ^a,b  

^a ONERA   (France)

^b INSTITUT DE MATHÉMATIQUES DE TOULOUSE   (France)

Author keywords

Nonsmooth optimization; Semi infinite programming; Sequential quadratic programming (SQP); Trust region

Indexed keywords

APPLICATION PROGRAMS; AUTOMATION; EIGENVALUES AND EIGENFUNCTIONS; QUADRATIC PROGRAMMING; ROBUST CONTROL;

CONTROLLER SYNTHESIS; NONSMOOTH OPTIMIZATION; OPTIMIZATION PROGRAMS; SECOND-ORDER ALGORITHMS; SEMI INFINITE PROGRAMMING; SEMI-SMOOTH FUNCTIONS; SEQUENTIAL QUADRATIC PROGRAMMING; TRUST REGION;

CONTROLLERS;

EID: 80051595759     PISSN: 14746670     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.3182/20060705-3-fr-2907.00086     Document Type: Conference Paper

References (14)

1. Apkarian, P. and D. Noll (2005a). Nonsmooth optimization for multiband frequency domain control design. To appear.
2. ∞ synthesis. To appear.
3. Apkarian, P. and D. Noll (2006a). Controller design via nonsmooth multi-directional search. SIAM Journal on Control and Optimization 44(6), 1923-1949. (Pubitemid 44775245)
4. ∞ synthesis. IEEE TAC 51(1), 71-86.
5. ∞ synthesis. Full paper submitted.
6. ∞-norm. System and Control Letters 15(1), 1-7. (Pubitemid 20723314)
7. Conn, A., N. Gould and Ph. Toint (2000). Trust-Region Methods. MPS-SIAM Series on Optimization. Philadelphia.
8. Golub, G. and C. Van Loan (1989). Matrix Computations. second ed. Johns Hopkins University Press. Baltimore and London.
9. Hettich, R. and K. Kortanek (1993). Semi-infinite programming: theory, methods, and applications. SIAM Review 35(3), 380-429. (Pubitemid 23712350)
10. Jongen, H.Th., K. Meer and E. Triesch (2004). Optimization theory. Kluwer Academic Publishers.
11. Laub, A. (1981). Efficient multivariable frequency response computations. IEEE TAC 26(2), 407-408. (Pubitemid 11505917)
12. Leibfritz, F. (2003). Compleib: Constrained Matrix-optimization Problem library-a collection of test examples for nonlinear semidefinite programs, control system design and related problems. Technical report. University of Trier.
13. Nocedal, J. and S. Wright (1999). Numerical optimization. Springer. New York.
14. Noll, D. and P. Apkarian (2005). Spectral bundle methods for nonconvex maximum eigenvalue functions: second-order methods. Mathematical Programming Series B 104(2), 729-747. (Pubitemid 41521395)