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- Compare the performances of the first order system, the overdamped, underdamped and critically damped second order system.The mathematical models of some continuous time systems are given above. x(t) is the input signal of the system, and y(t) is the output signal of the system. Which of the following systems is linear and which is nonlinear? For linear systems, write "linear" in the space next to the option. For non-linear systems, write "non-linear" in the space next to the option.Consider two systems one is second order and the other is third order. The characteristic equations are: as2+bs+c for the second order and as3+bs2+cs+d for the third order, where a,b,c,d are positive real numbers. Then which of the following is correct with regard to the stability of these two systems? a. stability of either system cannot be confirmed with the given data b. third order is definitely stable but second order cannot be confirmed c. both systems are definitely stable d. second order is definitely stable but third order cannot be confirmed
- Determine the damping ratio (zeta ) of a system from analysis of its differential equation, given below.NOTE: plot the response using excel or any graphing tools and determine whether it is an undamped, critically damped, underdamped, or overdamped system.How can an underdamped second-order system be identified? What form does its complementary solution take? Repeat for a critically damped system and for an overdamped system.
- Please see attachment and please show handwritten work! A system is described by the differential equation: Determine the values of the natural frequency, damping ratio and the dampednatural frequency for this system. This system is: _____Undamped _____Underdamped _____Critically Damped _____Overdamped *** Please see attachment, and please show handwritten work! Thank you!Enter the value of the K coefficient required for the marginally stable/unstable system of a system whose characteristic equation is given as s3+6s2+3s+K=0.A) Reduce the block diagram. B) G1(s)= 2/s, G2(s)= 1/4s+2, G3(s)=4, H(s)=0.5 According to these; find the time constant, natural frequency, damping rate, and dynamic behavior. C)G1(s)= 2/s, G2(s)= 1/4s+2, G3(s)=4, H(s)=0.5 Find the poles, zeros, and reverse Laplace of the system. Is it stable or not?
- Given the plant transfer function, G(s) = 90/ s(s+4) and H(s) = 1. Obtain (i) characteristic equation (ii) damped frequency of oscillation (iii) damping ratio (iv) settling time (v) delay timeExample 1 A mass of 1 kg is to be supported on a spring having a stiffness of 9800 N/m. The damping coefficient is 5.9 N-sec/m. Determine the natural frequency of the system. Find also the logarithmic decrement and the amplitude after three cycles if the initial displacement is 0.003m.For the circuit shown in Fig. 4, find the steady state expression for ?? if ?? =50 ??? 5000? ??.