Synthesis of variable structure system for the complex dynamic object

2007 ◽  
Author(s):  
Alexander V. Lebedev ◽  
Vladimir F. Filaretov
Keyword(s):  
Variable Structure ◽  
Dynamic Object ◽  
Complex Dynamic ◽  
Structure System ◽  
Variable Structure System

scholarly journals A Type of Set Membership Estimation Designed for Dynamic Flux Balance Models

Processes ◽  
2021 ◽  
Vol 9 (10) ◽  
pp. 1762
Author(s):  
Xin Shen ◽  
Hector Budman
Keyword(s):  
State Space ◽  
Initial Conditions ◽  
Variable Structure ◽  
Upper And Lower Bounds ◽  
Structure System ◽  
E Coli ◽  
Flux Balance ◽  
System A ◽  
Variable Structure System ◽  
Set Membership

Dynamic flux balance models (DFBM) are used in this study to infer metabolite concentrations that are difficult to measure online. The concentrations are estimated based on few available measurements. To account for uncertainty in initial conditions the DFBM is converted into a variable structure system based on a multiparametric linear programming (mpLP) where different regions of the state space are described by correspondingly different state space models. Using this variable structure system, a special set membership-based estimation approach is proposed to estimate unmeasured concentrations from few available measurements. For unobservable concentrations, upper and lower bounds are estimated. The proposed set membership estimation was applied to batch fermentation of E. coli based on DFBM.

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