For a first order process G(s)= 4/(s+0.5):
(a) Qualitatively sketch the pattern of the Bode diagram for
this process, and indicate the limiting behaviors( i.e., the slopes
and values as s --> 0 and s --> infinity) of ARn( the
normalized amplitude ratio) and Phi ( the phase shift) in the
plots.
(b) Will a P-only control possibly make the process unstable?
Show your reasoning based on the Bode stability criterion.
(c) What if a delay term e^-5s is included,...
Sketch the linearized Bode plots of system function given below.
Ensure to properly label the graph. H(s) = 10^9 (s + 100)(s + 1000)
/ (s^2 + 15000s + 100 × 10^6)(s + 100 × 10^3)
Sketch the asymptotes of the Bode plot magnitude and phase for
the transfer functions:
1. T(s) = 2000/(s(s+200))
2. T(s) = 100/(s(.1s+1)(.5s+1))
3. T(s) = 1/(s(s+1)(.02s+1))
Sketch the asymptotes of the Bode plot magnitude and phase for
the transfer functions:
1. T(s) = 1/((s+1)^2+(s+10)^2)
2. T(s) = (s+5)(s+10)/((s)(s+1)(s+100))
Consider a system with the following transfer function,
G(s) = 10/ [s(s + 1)].
Design a compensator according to the following design
objectives:
• Kv = 20 sec−1 ;
• PM = 50 oF;
• GM ≥ 10 dB.
Submit your answer regarding the detailed compensator design
procedures, and the corresponding MATLAB code and figures to verify
your design.
In addition, compare the step response of both uncompensated and
compensated systems in MATLAB
A servomechanism has an open loop transfer function of
G(s) = 10 / s (1+0.5s) (1+0.1s)
Draw the Bode plot and determine the phase and gain margin. A
networks having the transfer function (1+0.23s)/(1+0.023s) is now
introduced in tandem. Determine the new gain and phase margins.
Comment upon the improvement in system response caused by the
network
Consider the reaction: NiO (s) + CO (g) <=> Ni (s) +
CO2(g) Kc=4.0*10^3 (at 1500 K) If a mixture of 1.00 mol nickel
(II)oxide and 0.20 mol carbon monoxide in 2.00 L flask are allowed
to come to equilibrium, what is the equilibrium concentration of
carbon dioxide?
1. On
a planet where the gravitational acceleration is g=10 m/s², a solid
cube of wood measuring one foot on each edge exerts a uniform
pressure of 3048 Pa on a flat tabletop due to its weight. Find the
wood's specific gravity and state whether it will float on water.
One foot is 0.3048 m.
2. A
crown is made of an alloy consisting of gold (19 g/cc) and copper
(9 g/cc). It weights 35 N in air, and 32.5...
1. Let g(s) = √ s. Find a simple function f so that f(g(s)) = 0.
Hint: see Methods of computing square roots on Wikipedia. Use
Newton’s method to estimate √ 2. Start with 3 different (and
interesting) initial values of your choice and report the number of
iterations it takes to obtain an accuracy of at least 4 digits.
In python.