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Problem: The block of a control system is shown below.
1. Rewrite the system into a state space description from shown below, and stimulate this continues plant for a unit step input dX/dt = AX + Bu
y = CX
2. Discretize this system into a discrete time system in the form below X(k + 1) = ? X (k) + Γu(k)
y = CX(k)
3. Stimulate this discrete time system, and change T to observe the changes in responses. Select a proper sampling interval T based on your observation for the rest of the assignment.
4. Design a state variable feedback regulator for the closed-loop system with a pair of complex poles at 0.3±0.4. Simulate this closed-loop system for a unit step input.
5. If the system state variables are not available. Design a dead-beat observer to provide state variables for your regulator. Stimulate the complete system with regulator and observer in place and non zero initial errors in state variables.
Crude oil, with specific gravity SG=0.85 and viscosityμ = 2.15×10−3 lbf sec/ft2, flows steadily down a surfaceinclined θ = 30 degrees below the horizontal in a film ofthickness h=0.125 in. The velocity profile is given by u =ρg/μ(hy − y2/2)sinθ
Suppose a ponds water contains 10.0 mg/L of some algae, which can be represented by the chemical formula C6H15O6N. Using the following reactions:
1. 260 watts of electrical power consumption. 2. External temperature (cooling air inlet temperature) = 77 degrees Fahrenheit 3. Safety (touching) specification (cooling air outlet temperature) = 100 degrees Fahrenheit 4.
given s=.30/(60-u), where s is the spacing (space headway) in miles, and u is the speed in miles per hour, derive the relationships u-k, u-q, and q-k. Also, estmate the capacity (qmax) of the roadway.
1 what do you understand by the term durability? compared to other considerationsnbsphow much importance should be
Determine the excess pressure inside an 0.5-in-diameter soap bubble floating in air, given the surface tension of the soap solution is 0.0035 lb/ft.
The center post B of the assembly has an original length of 124.7mm, whereas posts A and C have a length of 125mm. If the caps on the top and bottom can be considered rigid
A spherical pressurevessel of 1.2m outside diameter is to be fabricated from a steelhaving an ultimate stress of σU450 MPa. Knowing that a factor of safetyof 4.0 is desired and that the gage pressure may reach 3 MPa,
A 35 feet diameter oil storage tank is built on a 100 ft thick soil layer. The tank exerts an uniform pressure of 1000 pcf on the ground surface. The groundwater table is 10 ft below the ground surface.
A 45 W electric mixer is operated for 5 minutes while mixing a 2 kg shake. Assume Csubv=4200 J/kg-K for the liquid. Determine the temperature rise (in degrees C) of the milk shake.
Water enters the lock of a ship canal through 180 ports, each port having a 2 ft by 2 ft cross section. The lock is 900 ft long and 105 ft wide. The lock is designed so that the water surface in it will rise at a maximum rate of 6 ft/min.
Air enters the compressor at 98 kPa and 295 K at a rate of 10 kg/s and exits at 1 MPa and 620 K. Determine the net power delivered to the generator by the turbine.
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