B) Which of the following is not true? Increasing system gain increases stability poles farther to the left of imaginary axis improve speed steady-state errors are important in the study of unstable systems multiple poles on the imaginary axis improves system stability
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- Assume that the system recorded by the block diagram is reliable. a) Determine the position constant, kp, of velocity, kv, and of acceleration, ka, of the system. b) Determine the steady-state errors for a magnitude 5 input in step, ramp, and parabola, respectively.A) Sketch the complex plane and locate poles for 2 cases: 2 Second Order underdamped systems where both systems have the same settling time, but system #1 has a larger overshoot. B) Sketch the time response for each system in part A to a unit step input. Show clearly which system is 1 and 2. Show the relative values of the overshoot for both systems, the overshoot time, damped natural frequency and time to steady state .Consider the continuous-time model of the overhead crane proposed in Problem 7.10 with mc = 1000 kg, ml = 1500 kg, and l = 8 m. Design a discrete full-order observer state feedback control to provide motion of the load without sway. Problem 7.10 The following differential equations represent a simplified model of an overhead crane:3 where mC is the mass of the trolley, mL is the mass of the hook/load, l is the rope length, g is the gravity acceleration, u is the force applied to the trolley, x1 is the position of the trolley, and x3 is the rope angle. Consider the position of the load y = x1 1 + sinx3 as the output. (a) Determine a linearized statespace model of the system about the equilibrium point x = 0 with state variables x1, x3, the first derivative of x1, and the first derivative of x3. (b) Determine a second statespace model when the sum of the trolley position and of the rope angle is substituted for the rope angle as a third state variable.
- Which of the following is not true? a.Increasing system gain increases stability b.poles farther to the left of imaginary axisimprove speed c.steady-state errors are important in the studyof unstable systems d.multiple poles on the imaginary axis improvessystem stabilityThe following closed loop system damping ratio, natural frequency, system poles,% Overrun value and Calculate the relaxation time. A=16 B=90 X=32 Y=45The outside diameter of a concentric spherical electrode system is given as 28 cm. The system is the most suitable sized according to puncture. Puncture strength of gas between spherical layers, Ed = 88 kV / cm and the relative dielectric constant of the gas is r1 = 1 a) Calculate the capacity of the system and the highest voltage at which the system can be punctured. what should be. b) For U = 180 kV execution case, the maximum and minimum occurrence on the system electric field calculation addition? (Ɛ0 = 8,854x10-12 F / m)
- Landmark trilateration employing reference beacons is used to locate the (x, y) coordinates of a robot. The location of landmark number 1 (P1) is at the origin and the location of landmark number 2 (P2) is on the x axis at a positive distance x2 away from the first landmark (that is, P1 coordinates are (0, 0), and P2 coordinates are (x2, 0). The robot is at location (xR, yR), which will be determined based on the information provided below. Find the robot location (xR, yR) given the following: x2 = 25.3 m (where x2 represents the distance between the landmarks) d1 = 53.7 m (where d1 is the distance between the robot and landmark number 1) d2 = 48.2 m (where d2 is the distance between the robot and landmark number 2) Be sure to find the xR coordinate of the robot location and find both possible values of the yR coordinate of the robot locationFigure a shows the ignition circuit of an automobile system. It consists of four Resistors R, as well as the energy storing elements of Inductor and Capacitor . Meanwhile Figure b shows the equivalent circuit of the same system of Figure a. Let Z1 and Z2 be the Impedances seen from the respective terminals. The variables and are the mesh currents flowing in the loops 1 and 2, respectively. Let the values of Resistors are 2, while the value of the Capacitor and Inductor are 1. i) The total impedance of Z1=ii) The total impedance of Z2=iii) Current I2(S) in function of Vs(S) = iv} Find the transfer function of Vz2(S)/Vs(S) =7.Differential equation for a simple wheelchair with a suspension system (bumper) can be written as: ?2???2+??????+????=1???. Fe is the gravitational force exerted by the sitting person, 800 N; “m” is mass of the wheelchair, 25 kg; “Ks” is the stiffness (inverse of compliance) of the spring, 2500 N/m; the damping coefficient of the dashpot “B” is 500N/(m/s). How much is the damping coefficient ?of the system? The original of the problem is attached.
- Consider the head (the distance between the waterfalls) of the Run-of-River Hydro Power Plant is 5 meters. The design used a multi-jet Pelton wheel which has the parameters and operating conditions as below: o Flow rate, p = 4 m3/so Nozzle velocity coefficient, K = 0.98o Wheel diameter, D = 1.47o Mechanical efficiency, fl = 88%1) Calculate the highest possible power output of the turbine. 2)Estimate the electricity generation of the above hydropower plant if the river's water flow rate suddenly drops to half.A 500V, single-phase SM gives a net output mechanical power of 7.46 kW and operates at 0.9 pf lag. The effective resistance is 0.8Ω If the iron loss and friction losses are 500W and excitation losses are 800W, calculate a. the armature current b. efficiencyG(s)=((s+1)*(s+15))/((s+0.1)*(s+2.5)*(s+120)*(s+240)) 1-draw nyquist 2- Nyquist criterion, compute the number of unstable poles of the closed loop system as a function of K 3-determine for which values of K the closed system is stable.