Erratum to “Dynamic optimization of batch processes I. Characterization of the nominal solution”

Srinivasan, Balasubramaniam; Паланки, Сринивас; Bonvin, Dominique

doi:10.1016/s0098-1354(03)00006-1

Cited by 163 publications

(332 citation statements)

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“…PMP and the introduction of the Hamiltonian function H(t) allow (i) assigning the NCO separately to path and terminal objectives, and (ii) expressing them in terms of meeting constraints and sensitivities, as illustrated in Table 4. The solution is generally discontinuous and consists of several intervals or arcs 73,75 . Each arc is characterized by a different set of active path constraints, that is, this set changes between successive arcs.…”

Section: Pontryagin's Minimum Principlementioning

confidence: 99%

Control and Optimization of Batch Chemical Processes

Bonvin

François

2017

Coulson and Richardson's Chemical Engineering

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A batch process is characterized by the repetition of time-varying operations of finite duration. Due to the repetition, there are two independent "time" variables, namely, the run time during a batch and the batch index. Accordingly, the control and optimization objectives can be defined for a given batch or over several batches. This chapter describes the various control and optimization strategies available for the operation of batch processes. These include online and run-to-run control on the one hand, and repeated numerical optimization and optimizing control on the other. Several case studies are presented to illustrate the various approaches Keywords Batch control, predictive control, iterative learning control, run-to-run control, batch process optimization, dynamic optimization, optimizing control, run-to-run optimization.

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Section: Pontryagin's Minimum Principlementioning

confidence: 99%

Control and Optimization of Batch Chemical Processes

Bonvin

François

2017

Coulson and Richardson's Chemical Engineering

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“…In the analysis of linear control problems one distinguishes three cases: bang-bang arcs, sensitivity-seeking arcs, and path-constrained arcs, [41], where an arc is defined to be a nonzero time-interval. Of course a problem's solution can show two or even all three behaviors at the same time on different arcs.…”

Section: Applicationsmentioning

confidence: 99%

Reformulations and algorithms for the optimization of switching decisions in nonlinear optimal control

Säger

2009

Journal of Process Control

120

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“…The first-order necessary conditions of optimality (NCO) can be partitioned as follows (Srinivasan et al, 2003b):…”

Section: Measurement-based Optimization Via Nco-trackingmentioning

confidence: 99%

“…The optimal solution is typically discontinuous and characterized by various intervals that are either constraint-or sensitivity-seeking (Srinivasan et al, 2003b). The NCO-tracking scheme enforces the four conditions in (4), some on-line and the others over successive batches.…”

Section: Measurement-based Optimization Via Nco-trackingmentioning

confidence: 99%

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Combined On-Line and Run-to-Run Optimization of Batch Processes with Terminal Constraints

Welz

Srinivasan

Bonvin

2004

IFAC Proceedings Volumes

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This paper describes the optimization of batch processes in the presence of uncertainty and constraints. The optimal solution consists of keeping certain path and terminal constraints active and driving the sensitivities to zero. The case where the terminal constraints have a larger bearing on the cost than the sensitivities is considered, for which a two-time-scale methodology is proposed. The problem of meeting the active terminal constraints is addressed on-line using trajectory tracking, whilst pushing the sensitivities to zero is implemented on a run-to-run basis. The paper also discusses the run-to-run improvement of trajectory tracking via iterative learning control. The proposed methodology is illustrated in simulation on a batch distillation system.

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Erratum to “Dynamic optimization of batch processes I. Characterization of the nominal solution”

Cited by 163 publications

References 0 publications

Control and Optimization of Batch Chemical Processes

Control and Optimization of Batch Chemical Processes

Reformulations and algorithms for the optimization of switching decisions in nonlinear optimal control

Combined On-Line and Run-to-Run Optimization of Batch Processes with Terminal Constraints

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