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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.
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Explain what the value of the standard error of the mean indicates about the true value of the measurement if it is assumed that the variation is due only to random variation
A U-tube open at both ends is partially filled with water (a). Oil having a density of 750 kg/m3 is then poured into the right arm and forms a column L = 5.00 cm high (b) (a) Determine the difference h in the heights of the two liquid surfaces.
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troduction for the company Establishment of organisation Development / growth of the company Milk collection& product range (variety of products) Manufacturing process
Domestic Wastewater treatment using vermin-bio filtration
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