2012
DOI: 10.1016/j.compchemeng.2012.01.009
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Combined model approximation techniques and multiparametric programming for explicit nonlinear model predictive control

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Cited by 39 publications
(14 citation statements)
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“…Usually, the models designed in the previous step contain large sets of Partial and/or Ordinary Differential and Algebraic Equations (PDAE and/or ODAE) that involve highly nonlinear terms, thus leading to computationally expensive simulations. Therefore, it is often necessary to simplify the model formulation and replace it with a linear system representation that will allow control studies to be successfully performed . PAROC suggests the model approximation to be realized via either (i) system identification or (ii) model reduction techniques.…”
Section: Theoretical Backgroundmentioning
confidence: 99%
“…Usually, the models designed in the previous step contain large sets of Partial and/or Ordinary Differential and Algebraic Equations (PDAE and/or ODAE) that involve highly nonlinear terms, thus leading to computationally expensive simulations. Therefore, it is often necessary to simplify the model formulation and replace it with a linear system representation that will allow control studies to be successfully performed . PAROC suggests the model approximation to be realized via either (i) system identification or (ii) model reduction techniques.…”
Section: Theoretical Backgroundmentioning
confidence: 99%
“…The sensitivity analysis indices are usually computed through Monte-Carlo numerical integration Kontoravdi et al (2005), Kontoravdi et al (2010), Yue et al (2008), and Kiparissides et al (2009) Use of sensitivity analysis in the context of biomedical engineering in order to asses the robustness of complex biological and biomedical models and quantify uncertainty Homma and Saltelli (1996), Saltelli et al (2000), and Saltelli et al (2010) Development of global sensitivity analysis as a tool to detect parameter interactions, in particular variance based methods Narciso and Pistikopoulos (2008) Combination of linear model reduction and linear multi-parametric model-predictive control (mp-MPC) Rivotti et al (2012) A model order reduction via empirical Grammians (Hahn and Edgar, 2002) is combined with a mp-MPC algorithm Lambert et al (2013a) Using Monte-Carlo integrations, N step ahead affine representations are created policies. The calculation of such policies, e.g.…”
Section: Referencementioning
confidence: 99%
“…The examined process model is characterised by highly nonlinear sets of PDAEs that need to be simplified in order to be used for control studies (Lambert et al, 2013a;Rivotti et al, 2012). Therefore, we apply a system identification step, where we design three discrete, linear, state space models that captures the system dynamics.…”
Section: System Identificationmentioning
confidence: 99%
“…The state space model constitutes an intermediate step used only for the formulation and the solution of the multiparametric programming problem. 33,42 For the identification procedure, we excite the high fidelity model under random pulse input disturbance within the range of interest ( Figure 5). More specifically, we vary both the input (modifier concentration) and the disturbances (feed composition), as in this case the latter can be predicted by experimental procedures and is, therefore, treated as measured disturbance.…”
mentioning
confidence: 99%