Model Synthesis for Design of Switched Systems Using a Variable Structure System Formulation

2003 ◽  
Vol 125 (4) ◽  
pp. 618-629 ◽  
Author(s):  
Javier A. Kypuros ◽  
Raul G. Longoria
Keyword(s):  
Switched Systems ◽  
Variable Structure ◽  
Reduced Order Models ◽  
Bond Graphs ◽  
Reduced Order ◽  
Structure System ◽  
Physical Mechanisms ◽  
Variable Structure System ◽  
Optimizing Design ◽  
Efficient Power

A Variable Structure System (VSS) formulation and bond graph approach are used to develop a novel scheme for synthesizing reduced order models of switched systems. Switches are physical mechanisms that discontinuously redirect power, and switched systems employ switches for more efficient power conversion and/or to incorporate a control structure. A variety of power converters including electronic converters, hydraulic pumps, and clutched transmissions/differentials employ switches. It is shown how reduced order models can be derived using bond graphs and a VSS formulation to provide insight for optimizing design of switched systems. Experimental results are presented to validate this utility.

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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