Maurice Tutor

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  • MCS,PHD
    Argosy University/ Phoniex University/
    Nov-2005 - Oct-2011

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    Phoniex University
    Oct-2001 - Nov-2016

Category > Computer Science Posted 27 Aug 2017 My Price 11.00

feedback process

Glycolysis is a feedback process through which living cells use glucose to generate adenosine triphosphate (ATP), necessary for cell operations. A linearized glycolysis model (Chandra, 2011) is given by

where δ is the perturbation (disturbance input) on ATP production, Δy is the change in ATP level (output). α > 0 is the cooperativity of ATP binding to PFK, g > 0 is the feedback strength of ATP on PK (PFK and PK are two different types of glycolytic enzymes), k > 0 is the intermediate reaction rate, q > 0 is the autocatalytic stoichiometry, and h > 0 is the feedback strength of ATP on the PFK enzyme.

a. Since in this system δ is a disturbance input, zero steady-state error is achieved when

Show that in steady state …

b. Use the Routh-Hurwitz stability criterion to show that the system will be closed-loop stable as long as

c. Assuming that h is the only parameter of choice for steady-state error adjustments, show that zero steady-state error is not achievable.

Answers

Maurice Tutor
(5)
Status NEW Posted 27 Aug 2017 03:08 PM My Price 11.00

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