3. Derive both state space and transfer functions for vout2 and vout3 in System 2, respectively....
please solve problems 1 and
problems 2.
PROBLEM 1: Derive state-space equations for the following circuit in the form of L1 where χ = :L2 L3 L1 and (a) y 7 V L3 R1 L1 L3 R3 Vt R2 Vc し2 (c) For Part (a), use the file CircuitStateSpace.slx (define the four matrices in Matlab) to verify your derivation using the following numerical values: R1-1; R3-1 R2-10; L1-1e-3 L3-1e-3 L2-10e-2 ; C1-10e-6 PROBLEM 2: (a) What are eigenvalues of the...
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1. For the circuits shown in Figs. 3(a) and 3(b), derive the transfer functions in the following forms LP UL and express wL, WH, KL and KH in terms of resistors and capacitors HP Figure 3: First order (a) lowpass filter (b) highpass filter The frequencies wL and wH are known as: . Pole frequency, defined as the root of the denominator of H(s) . Corner frequency, defined as the frequency at which the gain is 0.707 times...
Problem 3-Find the state-space representation in both canonical controller and phase-variable form of the transfer functions below R(s) C(s) 8s + 10 45s3 +s2 +5s + 13 5 +9s4+1383 +8s2
2. Find the state space representation of the system represented by the following transfer function: (s +1.2) (s 15.8) (s +23) s(S 1.3) (s +7.2) (s + 47) G(s)- 3. Find the transfer function of the system with the following state space representation: 1 3.2 1.6 1(01) [-1 e) -7.4 2.4 -9.1l(O You may use your calculator, Matlab, or calculate by hand to find the following transfer functions: G1(s) 0,() R(S) G3(s) s) R(
Determine the transfer function of the system ***with an added
inductor***. Then determine the state space representation of the
system shown with an added inductor.
us Question Determine the Transfer Function of the systern in Problem #2, but now added into the circuit (figure below). (4 points) a) ith an inductor b) Determine the State-Space representation for the system with R. b6m
Please answer all questions
Calculations 1. Derive the transfer functions for the circuits shown in Figs. 1(a), 1(b) and 1(c): VBP VHP (s) Vi НВР(s) — VLP(S) (S) Ннp(s) — Vi HLP(s) Vi Re C4 C2 VBP R2 R1 VHP VLP R. R4 R3 C2 C1 V (c) (b) (a) Figure 1: Second order (a) lowpass filter (b) highpass filter (c) bandpass filter (1) P(s) H(s)Q(s) Express the transfer functions as that negative powers of s are not allowed in...
Derive the equations of motion for a two mass system
(suspension), the Transfer Function and state space model.
Please show all work and write neatly. Thank you in advance.
model Free body diagram /n in m2 Road surface Inertial reference
(10 ea) For the following system transfer functions, draw the signal-flow graphs, write the Concerning an open-loop version of the system above, write the state and output functions, and represent the systems in state space in Jordan canonical form. 3. (s+3)2 (s+4) G(s)=-(s+7) G(s) (s+4) s+ b) c) (s+2)2(s+5)(s+6)
(10 ea) For the following system transfer functions, draw the signal-flow graphs, write the Concerning an open-loop version of the system above, write the state and output functions, and represent the...
Consider the liquid level system shown in Figure 1. At steady state, the inflow rate and outflow rate are both Ở and the flow rate between the tanks is zero. The heads at tank 1 and tank 2 are both H. At t = 0, the inflow rate is changed from 0 to + , where is the small change in the inflow rate. The resulting changes in the heads (h/ and h2) and flow rates are assumed to be...
Find the state space representation of the following system. Show all work. m2 • m1 = 3 kg • m2 = 1 kg kı = 4 N/m k2 = 1 N/m C1 = 2 Ns/m C2 = 5 Ns/m C3 = 3 Ns/m