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Problem 1: Common rules of thumb for controller discretization is to have "6 samples per rise time" in order to achieve a reasonable approximation of the CT controller, without wasting computing resources. Derive the effect on PM that this choice will have.
Problem 2: A motor position control system has transfer function
P(s) = 1/s2(s + 1)
Design a PID controller to approximately maximize its BW, keeping the PM above 40deg.
Problem 3: Consider the system with transfer function P(s) = 1/s which is to be controlled by a strictly causal DT-PI controller of the form C(z) = K(z-a)/z(z-1) so that the loop crossover frequency is 1 rad/s and the phase margin is 45o.
1. Discuss the selection of a suitable sampling time for the controller.
2. Use Ts = 0.3(sec) to design a DT-PI to meet the specifications by designing the controller in CT first, and then discretizing it.
3. Use Ts = 0.3(sec) and design the DT-PI to meet the specifications in DT entirely.
The plate is uniformly loaded from the bottom surface with a pressure load of 15 kN/m2. Elastic modulus is E = 210 x 109 N/m2 and Poisson's ratio is v = 0.33. Determine the von Mises distribution in the plate.
A discrete-time system can be described in one of two ways. One is by the unit-pulse response of the system, and the other is by the difference equation. In the first case, if we are given an input and want to find the output, we have to convolv..
The traffic signal for the main street gets highest priority because car are continuously present on the main street. Thus, the main street signal remains green by default.
From the calculated heat transfer rate of the evaporating water, calculate the maximum efficiency of the solar distillation system on a 1 m2 piece of glass for a solar flux of 800 W/m2. This is a maximum, because the vapor pressure of sea water is ..
A power transistor operating at an ambient temperature of 50°C, and an average emitter current of 3 A, dissipates 20 W. If the thermal resistance of the transistor is known to be less than 3°C/W, what is the highest junction temperature you would ..
State the selection criteria of the chosen materials taking into account the material properties, their cost and their suitability for manufacture - Detail the appropriate properties and criteria for the selection of a metallic, ceramic, polymer an..
Calculate the d-spacing for the wet smectite. What happened to the smectite crystal structure, when it was exposed to water?
Question 4. 4. In the standard set-up of a keypad, the four rows are connected to 9S12G128 output ports, and the four columns are connected to input ports with internal pull up resistors enabled. In your own words, describe how the scanning progra..
What is the standard deviation of the value gain for the house in neighborhood A? Show or explain .
Alternatively, the company can outsource ad development at a fee of $20 per ad regardless of the quantity. The current interest rate is 8% per year. What is the breakeven amount, and which alternative is economically better?
An op amp with open-loop voltage gain of 105 and poles at 106 Hz, 107 Hz, and 108 Hz is to be compensated by the addition of a fourth dominant pole to operate stably with unity feedback (β = 1). What is the frequency of the required dominant pole?
1. List all standards of IEEE 802.11 from a to z. Describe each of them briey in a sentence or two. 2. Compare and contrast OFDM, DSSS and FHSS in terms of various metrics. Explain the current technology with IEEE 802.11a/b/g/n/ac (i.e., tell if t..
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