Required information Consider the system described in the following figure. Let a = 8 and b= 2: %D x(t) - y(t) b a Identify the differential equation describing the given system. Multiple Choice O (4)yG) = x(t) + (})»(;) O (4)y (1) = x' (1) – (4)»(?) O ()y (1) = x(1) – ( )»(e) O ()y (1) = x' (1) + ( )»(e)
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A: Characteristic polynomial: Δ(s)=2s3+4s2+s+1The characteristics equation is given by…
Q: 2. Consider the system with the following configuration. r(t) Ke y(t) Kp Tp8 +1 Let Kp = T, = 1.…
A: Dear student as per our guidelines we are supposed to solve only one question .kindly repost other…
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Q: A discrete time LTI system is described by the difference equation below. 8y[n] – 6y[n – 1] = x[n].…
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Q: b. A system with open loop T.F given by, 100 G(S)H(S) = S(S + 4)(S + 5) i. Is the stability or the…
A: GivenGSHS=100SS+4S+5characeteristic Equation1+GSHS=01+100SS+4S+5=0SS2+9S+20+100=0S3+9S2+20S+100=0
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Q: A discrete time LTI system is described by the difference equation below. 8y[n] – 6y[n – 1] = x[n].…
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Q: Q// Consider the system 0(s) km kakp 0,(s) s(Tms + 1) rad kp = 2 v/rad , km = 20 0, tm = 0.1 sec sec…
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Q: d) An LTIC System is specified by the equation (D² + 5D + 6) y(t) = (D + 1) x(t) i. Find the…
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Q: Q// Consider the system 0;(s) km kak, 0,(s) s(Tms + 1) kh = 2 v/rad , km = 20 rad /v , Tm = 0.1 sec…
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Q: A single-pole causal LTI system has the following impulse response given below. h(n) n Which option…
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- Generate differential equations,of the electrical circuit by hand using Newton’slaw and the basic principle of Kirchoff's law.Can you classify this differential equation, as well?1. State variables are linearly 2. To find the output variables of a system, you need to know the . ..variables, the .conditions and the ... 3. If a system is represented by two, third order linear differential equations, then the number of state equations will be ..... ...... 4. In 3 the number of state variables will be..
- Use the equations (1) to (5) to find the value for R1 AND R2. tc = 0.693(R1 + R2)(C1) .(1) td = 0.693(R2)(C1) .(2) f=1/T1/(tc + td).. (3) Duty cycle (tc)/T = .(4) (5) T = tc + td A. For frequencies = 15 KHz, 10 KHz, and 5 KHz with a 70% duty cycle. B. For frequency = 10 kHz, generate the waveform for the following duty cycles: 90%, 70%, 50%, 30%, and 10%. V1 10V R1 200 A1 VCC ន RST OUT R2: DIS 00 THR TRI CON GHD C1 9.4nF C2 9.4nF XSC1 Tektronix 555 VIRTUALAn asynchronous circuit has two SR latches (not edge-triggered FF) denoted SR1 and SR2, and two external inputs x1 and x2. It also has a single output z. The excitation expressions for the inputs and output equations are (see image). Using the characteristic equation for an SR latch, draw the excitation table. Then draw the state table, flow table, and flow diagram.What do you call the factor, that when multiplied to a non-exact differential equation, would make it exact? Correction Factor Integrating Factor Differential Factor O Integral Factor
- Q 2: Examine the stability of given equation using Routh's method: - s3 + 6S2 + 11S+ 6 = 0 Q 3: For the system shown determine % Mp and Ts when it is excited by unit step input. If for the same system PD controller having constant ratio Mp and Ts. Draw respective waveform? R(s) C(s) 100 s (s + 12)10 (Even Numbers will solve). Defined as is (t) = 3--3u (t-1) a) Draw the graph of is (t). b) Determine the general expression for the output voltage vo (t). c) Draw the graph of vo (t).What is the difference (comparison) between the capability of variation of parameters method and the undetermined coefficients – superposition approach when solving non-homogeneous linear higher-order differential equations?
- 22 - When the unit step function is applied to the input of the control system given below, the peak time of the output signal is 0.47 s and the settlement time is 0.91 s. It is also known that the steady state error of the system is 10% for the same input. So what is the natural frequency of the system? calculate.A) 9B) 5C) 6D) 7E) 8Consider the circuit is shown in the figure below. The circuit comprises a voltage supply, ?(?), resistor (?), inductor (?) and capacitor (?). Let ?1 = ? and ?2 = ?? be the state variables for this system, where ? and ?? are the circuit current and capacitor voltage, respectively. For this system,a) Derive the loop equation, involving integro-differential equations, from first principles b) Write the state differential equationsc) Write the state-space equation in matrix-vector formd) sketch the signal flow graphBy applying linear differential equations, compute the: a. Current at any time ? given as ?(?) b. Current after 1 second c. Limiting value of the current