An approximation technique for robust nonlinear optimization

Mathematical Programming

Volumn 107, Issue 1-2, 2006, Pages 213-230

  Diehl, Moritz ^a   Bock, Hans Georg ^a   Kostina, Ekaterina ^a  

^a UNIVERSITY OF HEIDELBERG   (Germany)

Author keywords

Nonlinear Programming; Optimal Control; Robust Optimization

Indexed keywords

APPROXIMATION THEORY; LINEARIZATION; OPTIMIZATION; PARAMETER ESTIMATION; PROBLEM SOLVING; ROBUSTNESS (CONTROL SYSTEMS);

APPROXIMATION TECHNIQUES; INFINITE DIMENSIONAL UNCERTAINTIES; LARGE SCALE PROBLEMS; ROBUST NONLINEAR OPTIMIZATION;

NONLINEAR PROGRAMMING;

EID: 33644666305     PISSN: 00255610     EISSN: 14364646     Source Type: Journal    
DOI: 10.1007/s10107-005-0685-1     Document Type: Article

References (17)

1. Ben-Tal, A., Nemirovskii, A.: Lectures on Modern Convex Optimization: Analysis, Algorithms, and Engineering Applications. MPS-SIAM Series on Optimization, MPS-SIAM, Philadelphia 2001
2. Bock, H., E.Kostina: Robust experimental design. In: H.G.Bock, Project A4, Optimization methods for reactive flows of Sonderforshungsbereich 359 Reactive Flows, Diffusion and Transport, Report 1999-2001, University of Heidelberg, 2001, pp. 133-135
3. Bock, H., Plitt, K.: A multiple shooting algorithm for direct solution of optimal control problems. In: Proc. 9th IFAC World Congress Budapest, Pergamon Press, 1984, pp. 243-247
4. Boyd, S., Vandenberghe, L.: Convex Optimization. Cambridge University Press, 2004
5. Correa, R., Ramírez, C.: A global algorithm for nonlinear semidefinite programming. SIAM Journal on Optimization 15 (1), 303-318 (2002)
6. Diehl, M., Leineweber, D., Schäfer, A., Bock, H., Schlöder, J.: Optimization of multiple-fraction batch distillation with recycled waste cuts. AIChE Journal 48 (12), 2869-2874 (2002)
7. Fares, B., Noll, D., Apkarian, P.: Robust control via sequential semidefinite programming. SIAM Journal on Control and Optimization 40 (6), 1791-1820 (2002)
8. Freund, R.W., Jarre, F., Vogelbusch, C.: A sequential semidefinite programming method and an application in passive reduced-order modeling, 2005, (submitted)
9. Griewank, A.: Evaluating derivatives: principles and techniques of algorithmic differentiation. SIAM, Philadelphia 2000
10. Körkel, S., Kostina, E., Bock, H., Schlöder, J.: Numerical methods for optimal control problems in design of robust optimal experiments for nonlinear dynamic processes. Optimization Methods and Software 19, 327-338 (2004)
11. Kočvara, M., Stingl, M.: Pennon - a generalized augmented lagrangian method for semidefinite programming. In: G.D. Pillo, A. Murli (eds.) High Performance Algorithms and Software for Nonlinear Optimization, Kluwer Academic Publishers, Dordrecht, 2003, pp. 297-315
12. Leibfritz, F., Mostafa, E.M.E.: An interior point constrained trust region method for a special class of nonlinear semidefinite programming problems. SIAM Journal on Optimization 12 (4), 1048-1074 (2002)
13. Leineweber, D.: Efficient reduced SQP methods for the optimization of chemical processes described by large sparse DAE models, Fortschr.-Ber. VDI Reihe 3, Verfahrenstechnik, vol. 613. VDIVerlag, Düsseldorf, 1999
14. Leineweber, D., Schäfer, A., Bock, H., Schlöder, J.: An efficient multiple shooting based reduced SQP strategy for large-scale dynamic process optimization. Part II: Software aspects and applications. Comp. & Chem. Eng. 27, 167-174 (2003)
15. Ma, D.L., Braatz, R.D.: Worst-case analysis of finite-time control policies. IEEE Transactions on Control Systems Technology 9 (5), 766-774 (2001)
16. Nagy, Z., Braatz, R.: Open-loop and closed-loop robust optimal control of batch proccesses using distributional and worst-case analysis. Journal of Process Control 14, 411-122 (2004)
17. Nocedal, J., Wright, S.J.: Numerical Optimization. Springer, 1999