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4 * 165+4)* lyzů + 7 + 2x 1. Consider a two-tank fluid-level control system shown...
Consider a two-tank system, where x, is the level of the first tank, and x2 is the level of the second tank. This dynamic system is described by the -xj-x2. The output to be Q4. following model: dt c...
Consider a two-tank system, where x, is the level of the first tank, and x2 is the level of the second tank. This dynamic system is described by the -xj-x2. The output to be Q4. following model: dt controlled is the level of the second tank. (a)Write down the state-space model in matrix form. Verify the 20% (b)Design a state feedback controller so that the closed-loop poles are 25% controllability of the system located at -3 and -4 (c) The...
please do 1,2,3 Consider two tanks in series. Water flows into the first tank at a rate controlled by a control v...
please do 1,2,3
Consider two tanks in series. Water flows into the first tank at a rate controlled by a control valve. The height of water in each tank is measured by a transducer at the bottom of the tank. The time constant for these transducers is 5 msec. These heights are sent to a Pl controller that outputs a voltage to the control valve. (You may assume the control ler simply outputs a flowrate.) The flowrate out of each...
Problem 1: Consider the control systems below and answer the questions listed: I. Manually Controlled Tank Level S...
Problem 1: Consider the control systems below and answer the questions listed: I. Manually Controlled Tank Level System A. Identify the following parameters: 1. Setpoint or reference point: 2. Controlled variable, c Manipulated variable, u Measured representation of the controlled variable, b 3. 4. 5. Error, e 6. Input signal to the control element, p Identify the following elements in the control B. system 1. Error detector 2. Controller 3. Control element 4. Process S. Measurement Element C. Draw a...
1. Consider a single tank for flow rate control and water level regulation. A single tank...
1. Consider a single tank for flow rate control and water level regulation. A single tank subject to the pump dynamics can be modeled as follows Tank dynamics: h.-le,-4M h, -e-eyh.), Pump dynamics: Q,-1(av,-0) Pump dynamics: Q,--(av,-Q.) Tank dynamics: where the parameters are defined as follows: h :water level c: valve resistance r: time constant S,: water tank area Q,: supplied flow rate a: voltage scaling factor ,: applied control input voltage (all the coefficients are positive) (A). Please apply...
Problem 8.3 - A New Two-State System Consider a new two-level system with a Hamiltonian given...
Problem 8.3 - A New Two-State System Consider a new two-level system with a Hamiltonian given by i = Ti 1461 – 12) (2) (3) Also consider an observable represented by the operator Ŝ = * 11/21 - *12/11: It should (hopefully) be clear that 1) and 2) are eigenkets of the Hamiltonian. Let $1) be an eigenket of S corresponding to the smaller eigenvalue of S and let S2) be an eigenket of S corresponding to the larger eigenvalue....
2. Consider the liquid level system shown below - 0 The outflow rate through the outlet of the ta...
2. Consider the liquid level system shown below - 0 The outflow rate through the outlet of the tank is given varies as a function of the height of the fluid in the tank, QVe Bpg kg.s-1. The area of the base of the tank is A 1 m2. The answers to the below questions can be left in terms of p and g. (a) [5 points] - Derive the differential equation for the height of the fluid in the...
The level ho of liquid in a vertical cylindrical tank as shown in Figure 4 is related to the infl...
please answer all of part i really need them ASAP ...
The level ho of liquid in a vertical cylindrical tank as shown in Figure 4 is related to the inflow of liquid qi by the time domain equation d h dt where τ RLGL, the steady state gain of the system is G RL/pg and the tank capacitance, inlet ine ho outlet vave Tank Figure 4: Tank Level Process (a) You carry out some measurements on the tank and...
Consider a three-level system where the Hamiltonian and observable A are given by the matrix Aˆ...
Consider a three-level system where the Hamiltonian and
observable A are given by the matrix Aˆ = µ 0 1 0 1 0 1 0 1 0
Hˆ = ¯hω 1 0 0 0 1 0 0 0 1 (a) What are the possible
values obtained in a measurement of A (b) Does a state exist in
which both the results of a measurement of energy E and observable
A can be...
9.25. A pumping station consists of a pump, a long pipe, and a tank with an...
9.25. A pumping station consists of a pump, a long pipe, and a tank with an outflow valve as shown in Fig. 9.44. The goal is to design the system so that there will be no overshoot in the depth of fluid in the storage tank resulting from transient changes in the pump pressure Pp) Tank Valve Long pipeI atm Pump Fluid reservoir Figure 9.44: A fluid pumping statio (a) Assume the pipe resistance can be neglected and that the...
โ], h Tank 1 4 2 h2 Tank 2 A material balance on this system provides...
โ], h Tank 1 4 2 h2 Tank 2 A material balance on this system provides the coupled system of ordinary differential equations: dhi Ac at 9-91 dh2 Ac dt = 91-92 Let's assume that the tanks have a maximum height of 1 m and are initially empty, so: h20) = (0) = 0 If the flow exiting the tanks is through valves, then the rate is proportional to the square root of the height of water in the tank:...
Consider a two-tank system, where x, is the level of the first tank, and x2 is the level of the second tank. This dynamic system is described by the -xj-x2. The output to be Q4. following model: dt controlled is the level of the second tank. (a)Write down the state-space model in matrix form. Verify the 20% (b)Design a state feedback controller so that the closed-loop poles are 25% controllability of the system located at -3 and -4 (c) The...
please do 1,2,3
Consider two tanks in series. Water flows into the first tank at a rate controlled by a control valve. The height of water in each tank is measured by a transducer at the bottom of the tank. The time constant for these transducers is 5 msec. These heights are sent to a Pl controller that outputs a voltage to the control valve. (You may assume the control ler simply outputs a flowrate.) The flowrate out of each...
Problem 1: Consider the control systems below and answer the questions listed: I. Manually Controlled Tank Level System A. Identify the following parameters: 1. Setpoint or reference point: 2. Controlled variable, c Manipulated variable, u Measured representation of the controlled variable, b 3. 4. 5. Error, e 6. Input signal to the control element, p Identify the following elements in the control B. system 1. Error detector 2. Controller 3. Control element 4. Process S. Measurement Element C. Draw a...
1. Consider a single tank for flow rate control and water level regulation. A single tank subject to the pump dynamics can be modeled as follows Tank dynamics: h.-le,-4M h, -e-eyh.), Pump dynamics: Q,-1(av,-0) Pump dynamics: Q,--(av,-Q.) Tank dynamics: where the parameters are defined as follows: h :water level c: valve resistance r: time constant S,: water tank area Q,: supplied flow rate a: voltage scaling factor ,: applied control input voltage (all the coefficients are positive) (A). Please apply...
Problem 8.3 - A New Two-State System Consider a new two-level system with a Hamiltonian given by i = Ti 1461 – 12) (2) (3) Also consider an observable represented by the operator Ŝ = * 11/21 - *12/11: It should (hopefully) be clear that 1) and 2) are eigenkets of the Hamiltonian. Let $1) be an eigenket of S corresponding to the smaller eigenvalue of S and let S2) be an eigenket of S corresponding to the larger eigenvalue....
2. Consider the liquid level system shown below - 0 The outflow rate through the outlet of the tank is given varies as a function of the height of the fluid in the tank, QVe Bpg kg.s-1. The area of the base of the tank is A 1 m2. The answers to the below questions can be left in terms of p and g. (a) [5 points] - Derive the differential equation for the height of the fluid in the...
please answer all of part i really need them ASAP ...
The level ho of liquid in a vertical cylindrical tank as shown in Figure 4 is related to the inflow of liquid qi by the time domain equation d h dt where τ RLGL, the steady state gain of the system is G RL/pg and the tank capacitance, inlet ine ho outlet vave Tank Figure 4: Tank Level Process (a) You carry out some measurements on the tank and...
Consider a three-level system where the Hamiltonian and
observable A are given by the matrix Aˆ = µ 0 1 0 1 0 1 0 1 0
Hˆ = ¯hω 1 0 0 0 1 0 0 0 1 (a) What are the possible
values obtained in a measurement of A (b) Does a state exist in
which both the results of a measurement of energy E and observable
A can be...
9.25. A pumping station consists of a pump, a long pipe, and a tank with an outflow valve as shown in Fig. 9.44. The goal is to design the system so that there will be no overshoot in the depth of fluid in the storage tank resulting from transient changes in the pump pressure Pp) Tank Valve Long pipeI atm Pump Fluid reservoir Figure 9.44: A fluid pumping statio (a) Assume the pipe resistance can be neglected and that the...
โ], h Tank 1 4 2 h2 Tank 2 A material balance on this system provides the coupled system of ordinary differential equations: dhi Ac at 9-91 dh2 Ac dt = 91-92 Let's assume that the tanks have a maximum height of 1 m and are initially empty, so: h20) = (0) = 0 If the flow exiting the tanks is through valves, then the rate is proportional to the square root of the height of water in the tank:...
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