References
- Abel , O , Helbig , A , Marquardt , W , Zwick , H and Daszkowski , T . 2000 . Productivity Optimization of an Industrial Semi-batch Polymerization Reactor Under Safety Constraints . Journal of Process Control , 10 : 351 – 362 .
- Ascher , UM and Petzold , LR . 1998 . Computer Methods for Ordinary Differential Equations and Differential-Algebraic Equations , Philadelphia, PA : SIAM .
- Bell , DJ and Jacobson , DH . 1975 . Singular Optimal Control Problems , New York : Academic Press .
- Biegler , LT . 1984 . Solution of Dynamic Optimization Problems by Successive Quadratic Programming and Orthogonal Collocation . Computers & Chemical Engineering , 8 : 243 – 248 .
- Bonvin , D and Srinivasan , B . 2003 . Optimal Operation of Batch Processes via the Tracking of Active Constraints . ISA Transactions , 42 : 123 – 134 .
- Breakwell , AE and Ho , YC . 1965 . On the Conjugate Point Condition for the Control Problem . International Journal of Engineering Science , 2 : 565 – 579 .
- Breakwell , AE , Speyer , JL and Bryson , AE . 1963 . Optimization and Control of Nonlinear Systems Using the Second Variation . SIAM Journal on Control and Optimization , 1 : 193 – 217 .
- Bryson , AE and Ho , YC . 1975 . Applied Optimal Control , Washington, DC : Hemisphere .
- Büskens , C and Maurer , H . 2001 . “ Sensitivity Analysis and Real-Time Control of Parametric Optimal Control Problems using Nonlinear Programming Methods ” . In Online Optimization of Large Scale Systems , Edited by: Grötschel , M , Krumke , SO and Rambau , J . 57 – 68 . Berlin : Springer .
- Büskens , C , Pesch , HJ and Winderl , S . 2001 . “ Real-Time Solutions of Bang-Bang and Singular Optimal Control Problems ” . In Online Optimization of Large Scale Systems , Edited by: Grötschel , M , Krumke , SO and Rambau , J . 129 – 142 . Berlin : Springer .
- Eaton , JW and Rawlings , JB . 1990 . Feedback Control of Nonlinear Processes using Online Optimization Techniques . Computers & Chemical Engineering , 14 : 469 – 479 .
- Fiacco , AV . 1983 . Introduction to Sensitivity and Stability Analysis in Nonlinear Programming, Volume 165 of Mathematics in Science and Engineering , New York : Academic Press .
- François , G , Srinivasan , B and Bonvin , D . 2005 . Use of Measurements for Enforcing the Necessary Conditions of Optimality in the Presence of Constraints and Uncertainty . Journal of Process Control , 15 : 701 – 712 .
- Gros , S , Buccieri , D , Mullhaupt , P and Bonvin , D . 2007 . A Two-time-scale Control Scheme for Fast Systems . Lecture Notes in Controls and Information , 358 : 551 – 563 .
- Gros , S , Chachuat , B and Bonvin , D . 2009 . Neighbouring-Extremal Control for Singular Dynamic Optimization Problems. Part II: Multiple-Input Systems . International Journal of Control (DOI: 10.1080/00207170802460032) ,
- Gros , S , Srinivasan , B and Bonvin , D . 2008 . Static Optimization Based on Output Feedback . Industrial & Engineering Chemistry Research. (Submitted) ,
- Isidori , A . 1989 . Nonlinear Control Systems , 2nd , Berlin : Springer-Verlag .
- Kelley , HJ . 1962 . Guidance Theory and Extremal Fields . IRE Transactions on Automatic Control , 7 : 75 – 82 .
- Kelley , HJ . 1964 . An Optimal Guidance Approximation Theory . IEEE Transactions on Automatic Control , 9 : 129 – 145 .
- Kelley , HJ , Kopp , RE and Moyer , HG . 1967 . “ Singular Extremals ” . In Topics in Optimization , Edited by: Leitmann , G . 63 – 101 . New York : Academic Press .
- Kugelmann , B and Pesch , HJ . 1990 . New General Guidance Method in Constrained Optimal Control. Part 1: Numerical Method . Journal of Optimization Theory and Applications , 67 : 421 – 435 .
- Lee , AY . 1988 . Neighbouring Extremals of Dynamic Optimization Problems with Path Equality Constraints . Journal of Optimization Theory and Applications , 57 : 519 – 536 .
- Lee , EB and Markus , L . 1967 . Foundations of Optimal Control Theory , New York : John Wiley and Sons .
- Lewis , RM . 1980 . Definitions of Order and Junction Conditions in Singular Optimal Control Problems . SIAM Journal on Control and Optimization , 18 : 21 – 32 .
- Maurer , H and Pesch , HJ . 1995 . Solution Differentiability for Parametric Nonlinear Control Problems with Control-State Constraints . Journal of Optimization Theory and Applications , 86 : 285 – 309 .
- Pesch , HJ . 1989a . Real-Time Computation of Feedback Controls for Constrained Optimal Control Problems. Part I: Neighboring Extremals . Optimal Control Applications and Methods , 10 : 129 – 145 .
- Pesch , HJ . 1989b . Real-Time Computation of Feedback Controls for Constrained Optimal Control Problems. Part II: A Correction Method Based on Multiple Shooting . Optimal Control Applications and Methods , 10 : 147 – 171 .
- Pesch , HJ . 1990 . The Accessory Minimum Problem and Its Importance for the Numerical Computation of Closed-loop Controls . Proceedings of the 29th Conference on Decision and Control . 1990 , Honolulu, HI. pp. 952 – 953 .
- Pontryagin , LS , Boltyanskii , VG , Gamkrelidze , RV and Mishchenko , EF . 1964 . The Mathematical Theory of Optimal Processes , New York : Pergamon Press .
- Robbins , HM . 1967 . A Generalized Legendre–Clebsch Condition for the Singular Cases of Optimal Control . IBM Journal of Research and Development , 11 : 361 – 372 .
- Rugh , WJ . 1993 . Linear System Theory , New Jersey : Prentice Hall .
- Srinivasan , B and Bonvin , D . 2007 . Real-Time Optimization of Batch Processes via Tracking of Necessary Conditions of Optimality . Industrial & Engineering Chemistry Research , 46 : 492 – 504 .
- Srinivasan , B , Bonvin , D , Visser , E and Palanki , S . 2003a . Dynamic Optimization of Batch Processes–II: Role of Measurements in Handling Uncertainty . Computers & Chemical Engineering , 27 : 27 – 44 .
- Srinivasan , B , Palanki , S and Bonvin , D . 2003b . Dynamic Optimization of Batch Processes–I: Characterization of the Nominal Solution . Computers & Chemical Engineering , 27 : 1 – 26 .
- Vossen , G . 2006 . “ Numerische Lösungsmethoden, Hinreichende Optimalitätsbedingungen and Sensitivitätsanalyse für Optimale Bang-bang Und Singuläre Steuerungen ” . In PhD thesis , Germany : Universität Münster .