Continuous variable structure system for tracking control of BLDDSM

2002 ◽  
Author(s):  
Jung-Hoon Lee ◽  
Whi-Beom Shin
Keyword(s):  
Tracking Control ◽  
Variable Structure ◽  
Continuous Variable ◽  
Structure System ◽  
Variable Structure System

scholarly journals Tracking Control of Variable Structure System Using Variable Boundary Layer

2001 ◽  
Vol 5 (6) ◽  
pp. 338-345
Author(s):  
Heejin Lee ◽  
Keyword(s):  
Boundary Layer ◽  
Tracking Control ◽  
Linear Time ◽  
Variable Structure ◽  
Second Order ◽  
Initial State ◽  
Variable Boundary ◽  
Variable Structure Systems ◽  
Variable Structure System ◽  
Arbitrary Initial State

In this paper, a new scheme is presented for the accurate tracking control of the second-order variable structure systems using the variable boundary layer. Up to now, variable structure controller(VSC) applying the variable boundary layer did not remove chattering from an arbitrary initial state of the system trajectory because VSC has used the fixed sliding surface. But, by using the linear time-varying sliding surfaces, the scheme has the robustness against chattering from all states. The suggested method can be applied to the second-order nonlinear systems with parameter uncertainty and extraneous disturbances, and have better tracking performance than the conventional method.To demonstrate the advantages of the proposed algorithm, it is applied to a two-link manipulator.

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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