Consider the following RLC circuit, v1 and v2 are the two inputs and v0 is the output.
(a) Obtain the state-space representation for the system if the state variables are defined as vc and iL.
(b) Draw a signal flow graph based on the state-space model obtained in (a).
(c) The output can be derived as V0(s) = G1(s)V1(s) + G2(s)V2(s). Use the state-space model obtained in (a) to find the transfer fnctions G1(s) and G2(s).
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Consider the following RLC circuit, v1 and v2 are the two inputs
and v0 is the...
Design an opamp circuit which will average inputs V1 & V2 with V0 = (V1 V2)/2.
Design an opamp circuit which will average inputs V1 & V2 with V0 = (V1 V2)/2.
Design the below operational amplifier circuit having one output, Vout, and two inputs, V1 and V2....
Design the below operational amplifier circuit having one output, Vout, and two inputs, V1 and V2. The output must be related to the inputs by Vout = 2 V1 - 9 V2 26 km 180 kn 180 kn Rik - R2 kn Determine the value of R1 and Rz. R2 = ko R2 =
Problem 2: Consider again the two RLC circuits from HW1 Problem 6 C L IKs IKs...
Problem 2: Consider again the two RLC circuits from HW1 Problem 6 C L IKs IKs L In HW1 Problem 6 you found the transfer function Vc(s)V(s) for each of the circuits, using Impedance Analysis. You essentially assumed zero initial conditions (for the capacitor's voltage S and for the inductor's current) 2.1. Develop a state-variable model for each of the circuits, where the state variables are (in both circuits) xi vc and x2 i That is, derive (for each circuit)...
2-a)-RLC components connected in series in a circuit supplied by a variable dc voltage can be described by the following differential equations: di(t) wherei@ is the loop current and V1(t) İs the vol...
2-a)-RLC components connected in series in a circuit supplied by a variable dc voltage can be described by the following differential equations: di(t) wherei@ is the loop current and V1(t) İs the voltage drop across the inductor.+' The voltage drop across the resistor is given by Ohm's law vR(t) R i(t) and the voltage drop across the capacitor vc(t) is given by i(t) dt For a series circuit ye)t vit)t velt) v(t) where v(t) is applied voltage: Figure 3: RLC...
Problem 1. Derive the state space model for each of the following circuit, using voltages on...
Problem 1. Derive the state space model for each of the following circuit, using voltages on the capacitors as the state variables: tot Problem 2. Find the state space representation for the system with the following signal flow graph.
We want to analyze the following electrical circuit R + + C C R y The...
We want to analyze the following electrical circuit R + + C C R y The output is the voltage across the resistor R,. We assign the state variables like this voltage across C xcurrent through L x3 = voltage across C, Then the state vector is x 1) Obtain the state-space representation of the system 2) Determine the observability of the state equation obtained in (1) 3) Let x(0) [x (0)x,(0) x,(0) =[1 0 o] Derive a control input...
Consider the simple series RLC circuit shown in figure below, the circuit has the following parameters,...
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Problem 1 (Problem Solving Workshop 1) For a parallel RL circuit R-10, L 1H Determine 1)...
Problem 1 (Problem Solving Workshop 1) For a parallel RL circuit R-10, L 1H Determine 1) 21 3) 4) The transfer function H(s) = (s), the pole-zero map, and the step response. Let L(0) - OA The state and output equations. Let Lt) be the state variable The block diagram of this system. Let (O) = -1 The response (t) due to a step input (t) = (t) A) using a known software. Problem #2 (Problem Solving Workshop 1) For...
Consider the following system: -1-2-21 гг 1 0 1 L Where u is the system input and y is the measur...
control system with observer
Consider the following system: -1-2-21 гг 1 0 1 L Where u is the system input and y is the measured output. 1. Find the transfer function of the system. 2. Design a state feedback controller with a full-state observer such that the step response of the closed loop system is second order dominant with an overshoot Mp settling time ts s 5 sec. Represent the observer-based control system in a compact state space form. 10%...
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...
Design the below operational amplifier circuit having one output, Vout, and two inputs, V1 and V2. The output must be related to the inputs by Vout = 2 V1 - 9 V2 26 km 180 kn 180 kn Rik - R2 kn Determine the value of R1 and Rz. R2 = ko R2 =
Problem 2: Consider again the two RLC circuits from HW1 Problem 6 C L IKs IKs L In HW1 Problem 6 you found the transfer function Vc(s)V(s) for each of the circuits, using Impedance Analysis. You essentially assumed zero initial conditions (for the capacitor's voltage S and for the inductor's current) 2.1. Develop a state-variable model for each of the circuits, where the state variables are (in both circuits) xi vc and x2 i That is, derive (for each circuit)...
2-a)-RLC components connected in series in a circuit supplied by a variable dc voltage can be described by the following differential equations: di(t) wherei@ is the loop current and V1(t) İs the voltage drop across the inductor.+' The voltage drop across the resistor is given by Ohm's law vR(t) R i(t) and the voltage drop across the capacitor vc(t) is given by i(t) dt For a series circuit ye)t vit)t velt) v(t) where v(t) is applied voltage: Figure 3: RLC...
Problem 1. Derive the state space model for each of the following circuit, using voltages on the capacitors as the state variables: tot Problem 2. Find the state space representation for the system with the following signal flow graph.
We want to analyze the following electrical circuit R + + C C R y The output is the voltage across the resistor R,. We assign the state variables like this voltage across C xcurrent through L x3 = voltage across C, Then the state vector is x 1) Obtain the state-space representation of the system 2) Determine the observability of the state equation obtained in (1) 3) Let x(0) [x (0)x,(0) x,(0) =[1 0 o] Derive a control input...
Consider the simple series RLC circuit shown in figure below, the circuit has the following parameters, R=12, L = 0.2 Henry, and C = 0.05 Farad, R 1000 Vs The system is governed by the following equations: V = VR + V + V VR = IR V = Vc S(t)dt Or I = CM Construct a Simulink model for this system such that the input is the supply voltage Vs and the output is the voltage across the resistor...
Problem 1 (Problem Solving Workshop 1) For a parallel RL circuit R-10, L 1H Determine 1) 21 3) 4) The transfer function H(s) = (s), the pole-zero map, and the step response. Let L(0) - OA The state and output equations. Let Lt) be the state variable The block diagram of this system. Let (O) = -1 The response (t) due to a step input (t) = (t) A) using a known software. Problem #2 (Problem Solving Workshop 1) For...
control system with observer
Consider the following system: -1-2-21 гг 1 0 1 L Where u is the system input and y is the measured output. 1. Find the transfer function of the system. 2. Design a state feedback controller with a full-state observer such that the step response of the closed loop system is second order dominant with an overshoot Mp settling time ts s 5 sec. Represent the observer-based control system in a compact state space form. 10%...
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...
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