title: Stability analysis and controller design in microbial continuous culture with discrete time delay.
abstract: In this paper, stability analysis and controller design in microbial continuous culture with discrete time delay are studied. The dissimilation process of glycerol to 1,3-propanediol cannot avoid the disturbances caused by time delay. Time delay can limit and degrade the achievable performance of controlled systems, and even induce instability. Based on the biodynamic model, some properties of its solutions are discussed. In addition, we investigate how the time-delay affects the stability of the system. A linear matrix inequalities method is applied to find a feedback controller to ensure the stability of the closed-loop system. The simulation results indicate that this controller might be feasible for continuous bioprocess control.
authors.affiliation: School of Mathematical Sciences, Dalian University of Technology, Dalian, Liaoning, People's Republic of China.
authors.forename: Xi
authors.initials: X
authors.lastname: Zhu
authors.forename: Jinggui
authors.initials: J
authors.lastname: Gao
authors.forename: Enmin
authors.initials: E
authors.lastname: Feng
authors.forename: Zhilong
authors.initials: Z
authors.lastname: Xiu
authors.forename: Sheng
authors.initials: S
authors.lastname: Jin
mesh_terms: D018533:Biomass; D046508:Culture Techniques / Q000379:methods*; D005246:Feedback; D005990:Glycerol / Q000378:metabolism; D007711:Klebsiella pneumoniae / Q000254:growth & development* / Q000378:metabolism; D008954:Models, Biological; D017711:Nonlinear Dynamics; D011409:Propylene Glycols / Q000378:metabolism; D013997:Time Factors
chemical_list: D011409:Propylene Glycols; C041787:1,3-propanediol; D005990:Glycerol
keywords: LMIs; continuous cultures; feedback control; time-delay system