Assume a series of reactions in one closed system as following
(1) S+E1 <=> E1S => E1+P1, with rate constant Kf (forward), Kb(backwards), Kcat
(2) P1+E2 <=> E2P1 => E2+P2, with Kf’,Kb’, Kcat’
(3) P1+P2 <=> P3, with Kf”, Kb”
• Initial concentration [S], [E1], [E2] To prepare for simulation, write ODEs for each participating component and product in the system based on Mass action law and enzyme conservation law, including d(S)/d(t), d(E1)/d(t), d(E1S)/d(t), d(P1)/d(t), d(E2)/d(t), d(E2P1)/d(t), d(P2)/d(t), d(P3)/d(t).
Assume a series of reactions in one closed system as following (1) S+E1 <=> E1S =>...
1. [25%] Consider the closed-loop system shown where it is desired to stabilize the system with feedback where the control law is a form of a PID controller. Design using the Root Locus Method such that the: a. percent overshoot is less than 10% for a unit step b. settling time is less than 4 seconds, c. steady-state absolute error (not percent error) due to a unit ramp input (r=t) is less than 1. d. Note: The actuator u(t) saturates...
4. Consider the following closed-loop system in which G(s) = and H(s) = 1. de)_ GC) ylt) Derive the transfer function刽 2, where E (s) = R(s) H(s)Y(s). What is the smallest value of K for which the steady-state error due to a unit step disturbance, d(t) -), s less than 0.05? Ea(s) D(s)
Consider the following closed economy: There are three sectors: S, S2, S3. Sector one consumes 90 percent of it's own product, sells 10 percent to sector two and nothing to sector three. Sector two consumes 40 percent of it's own product, sells 40 percent to sector one and 2 percent to sector three. Sector three consumes 20 percent of it's own product, sells 40 percent to sector 1 and 40 percent to sector 2. 1. Write a se t of...
Consider the following closed-loop system, where Y(s) R(s)+ KcP Ks Assume the following nominal values: Ko-2. 〈 = 0.8; ω,-4; Ks-2. Use transfer function sensitivity calculations in answering the questions below. a) With proportional controller gain K 10 and r(t) a step input, determine the percentage change in steady-state output y(t) if Ko increases 5% from its nominal value. (12 pts.) b) Repeat part (a) with Kc - 50. (6 pts.) c) With proportional controller gain Kc 10 and r(t)...
The following diagram illustrates a simple steam power plant. A
10kg/s flow of liquid water at T1=25°C enters the pump at a
pressure of P1=100kPa and is then pumped to a pressure of P2=2MPa.
The boiler then heats the water at constant pressure to produce
superheated vapour at T3=450°C. The steam is then expanded in the
turbine to a final pressure of P4=100kPa. The turbine and pump are
well insulated and may be considered reversible.
a) Find the turbine exit...
PD Controller Design 1 For the closed loop system shown, and given G(s) 35.20 s2+ 0.99 s+ 11.00 Design a PD Controller i.e. where C(s)-Kp + Kds to satisfy the following specifications t 0.03 s ts,1%-020 s K3 of 4 ( Qref Ω0ut C(s) plant control Part A-P Gain ▼ Find the P gain (i.e. Kp ) Submit Previous Answers Request Answer X Incorrect; Try Again Part B- D Gain Find the D gain (i.e. Kd)
PD Controller Design 1...
Chose the correct answer(s) from the multiple choice lists below 1. Exergy of a system is a) b) always increasing e) guided by the first and second laws of thermodynamics for reversible processes only Un d) limited by the second law of thermodynamics for all processes. processes, it is destroyed partly or completely). e) equal to the Gibs free energy of the system. 211two electrodes, one made of u (E.-3.06 V) and another made of Cu ΟΕ.+034V placed in an...