Performance of Inhibition Functions With Total Inhibition Concentration

Hwang, Y.B.; Dochain, D.; Bastin, G.

doi:10.1016/b978-0-08-042377-7.50051-9

Cited by 1 publication

(5 citation statements)

References 9 publications

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“…By continuity, if D(x, s) fulfills (12) or (13), then there exists s sufficiently small such D(x, s)…”

Section: Strong Batch Avoidance Condition (Sbac)mentioning

confidence: 99%

“…Note: ǫ = 0 in (11)- (13) gives nominal conditions for invariance of IR * , whereas ǫ > 0 provides robustness against model uncertainties, delayed measurement and sampled control.…”

Section: Strong Batch Avoidance Condition (Sbac)mentioning

confidence: 99%

“…-the WAC (11) holds, -the BAC (13) or (12) holds, -(16) has a single solution (x * , s * ) ∈ (0, 1)×(0, 1).…”

Section: Control Design Proceduresmentioning

confidence: 99%

“…Some kinetic models do not hold Assumption 2.1. For instance, there are kinetic functions satisfying µ(•, S, •) = 0 ∀ S > S m that fit well for very toxic substrates when in excess [13]. Biomass is washed out if the control drives the process to such high substrate concentration levels, so the problem is crit- Extension to other types of bioprocesses.…”

Section: Gs (S/w)bac Wacmentioning

confidence: 99%

“…If D(x, s) satisfies conditions (11),(13) andµ(x, s, q)| (x+s=1) − D(x, s)| (x+s=1) = 0 (16)has a single solution (x * , s * ) ∈ (0, 1)×(0, 1), then all orbits originated in IR * globally converge to P * = (x * , s * , 1).…”

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confidence: 99%

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Global stabilisation of continuous bioreactors: Tools for analysis and design of feeding laws

et al. 2018

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This work revisits the dynamic behaviour of stirred continuous reactors in which a single bioreaction with unknown kinetics occurs. Conditions on the feeding strategy to avoid washing out the biomass and falling in batch operation are obtained. These conditions derive in a closed positively invariant region including the desired operating point. It is stated that no closed orbits may exist in this region and, furthermore, that no fixed point exists but on one of its borders. Therefore, global stability is achieved by finding a feeding law that fulfills the aforementioned invariant conditions and gives a single equilibrium for a first-order dynamics. These results are useful to determine the stability properties of different control laws and, more importantly, to design new ones. Differing from previous results, the main advantages of the proposed approach are its simplicity and that input saturation does not affect stability results. The potentiality of the developed tools is illustrated by means of classical and novel feeding laws.

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“…By continuity, if D(x, s) fulfills (12) or (13), then there exists s sufficiently small such D(x, s)…”

Section: Strong Batch Avoidance Condition (Sbac)mentioning

confidence: 99%

“…Note: ǫ = 0 in (11)- (13) gives nominal conditions for invariance of IR * , whereas ǫ > 0 provides robustness against model uncertainties, delayed measurement and sampled control.…”

Section: Strong Batch Avoidance Condition (Sbac)mentioning

confidence: 99%

“…-the WAC (11) holds, -the BAC (13) or (12) holds, -(16) has a single solution (x * , s * ) ∈ (0, 1)×(0, 1).…”

Section: Control Design Proceduresmentioning

confidence: 99%

Section: Gs (S/w)bac Wacmentioning

confidence: 99%

mentioning

confidence: 99%

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