Consider the following characteristic equation of a control system: s5 + 2s* + 3s³ + 6s² + 10s + 15 = 0 (1). Analyse the condition for stability with proper justification. ii). Determine the number of poles on the right half s-plane.
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- Measuring devices which have time constants that are very small compared to the other time constants in a control loop are considered: inappropriate cheap fast 4. inaccurate On the complex plane, which roots are characteristic of responses that are stable? roots on the right half-plane roots on the imaginary axis roots on the real axis roots on the left half-plane Which is the correct path of information through a control loop? controller > comparator > measuring device > final control element comparator > controller > measuring device > final control element measuring device > controller > comparator > final control element measuring device > comparator > controller > final control elementUsing Routh-Hurwitz analysis, answer the following questions about the block diagram below (assume K > 0): (a) Determine the value of K that will make this system unstable (If there is one). (b) If this system does go unstable for this value of K, how many unstable poles are there? (c) Is there a value of K greater than the value found in part (a) in which the system becomes stable again?For the circuit given in Figure 2 (a) obtain the fundamental loop equations associated with the tree branches {1, 2, 3, 7}. (b) Write the incidence matrix.
- Q(s)=s4+2s3+3s2+20s+5. Find: Number of poles in the left-half plane? Number of poles in the jw-axis? Number of poles in the right-half plane? State of system is stable/unstable/marginally stableIn order for the closed-loop system, whose block diagram is given in the photograph, to be stable, the parameters ?1 and ?2 must be determined.Calculate the values it will take. Draw the graph of the stable region in the ?1-?2 plane. (Hint: Routh-Hurwitzuse the method)In a closed-loop system, the system transfer function (G(s)) and the controller's transfer function (C(s)) areit is given as follows. According to this, the system is divided into a unit step, ramp and a parabolic entrancefind the permanent status error that it will give.
- Find the values of M and fv so that the response has an overshoot of 17 percent and a settling time of 10 seconds, given the translational mechanical system where K = 1 and f(t) is a unit step.H6. You are planning a trip to a new high altitude space station. Your spacecraft is in an initial 200 km altitude circular earth orbit. Performing a Hohmann transfer compute: (a) the TOTAL delta-v required for a Hohmann transfer to a 1000 km altitude coplanar circular earth orbit. answer choices a. Dv = 445.38 m/sec b.Dv = 421.309 m/sec c.433.778 m/sec d. 220.00 m/sec1)For the following control system, use the Routh-Hurwitz criterion to determine if it is stable.If it is unstable, state the number of poles in the RHP, LHP and on the jwaxis R(s)—% 1 ‘ Ts(2s'+3s°+ 257 + 35 + 2) Y(s)
- Specify, explain and justify your response. Consider the following control system, indicate the correct alternative:1- The system is stable, as it has three poles in the right semiplane and one pole in the left semiplane, but can assume the poles in the Jw axis.2- The system is stable, as it has two poles in the right semiplane and three poles in the left semiplane.3- The system is unstable, as it has four poles in the right semiplane and no pole in the left semiplane, but can assume poles in the Jw axis.4- The system is stable as it has three poles in the left half-plane;5- The system is unstable, as it has two poles in the right semiplane and two poles in the left semiplane;6 - All alternatives are wrong.Determine the simplest equation based on the image Note : Option D. other option falseConsider the control system shown in Figure 4. Phasor diagram of the root locus as K varies from zero to infinity