Find the steady state response xss(t)
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- A system has the following characteristic equation: s+ s+ 3s+ 2s + 2 = 0 Using the Routh-Hurwitz method, checka. How many roots are to the right of the imaginary axis?b. Is the system stable?.Can you also please do the simulate the step response in MATLAB for the design and report archieved PO and settling time? Thank you.Q(s) = S5 + 2S4 + 2S3 + 4S2 + 11S + 10 = 0 i). Identify the stability of the system using Routh Hurwitz Algorithm. (ii). Comment about the Roots location.
- find trasfer function Y(s)/R(s) if kc is 5 and plant is 1/(0.5s+1). input r(t) is a unit-step functionResponse using Laplace transformation.In a tank heater with agitator, the relationship between the tank outlet temperature (T) and the heat given to the system by the heater connected to the tank (Q) is expressed by the model equation below. Accordingly, find the gain and time constant of the transfer function between temperature and heat. If the 1000 W heater power is suddenly increased by 25%, in how many minutes will the outlet temperature reach the new steady state value? (Note: The first steady state tank outlet temperature is 65 °C and the unit of time constant is minutes)
- Q.1 - The open loop transfer function for a unity - feedback systemis G(s)= XL‘ 7xs and r(t)=3t determine steady state error.If it is desired to reduce this existing error by 7% fined new value of gain of the system.Sketch the level response for a bathtub with cross-sectional area of 8 ft 2 as a function of time for the following sequence of events; assume an initial level of 0.5 ft with the drain open. The inflow and outflow are initially equal to2ft3/min.(a)The drain is suddenly closed, and the inflow remains con-stant for 3 min (0≤t≤3).(b)The drain is opened for 15 min; assume a time constant in a linear transfer function of 3 min, so a steady state is essentially reached (3≤t≤18) (c)The inflow rate is doubled for 6 min (18≤t≤24).(d)The inflow rate is returned to its original value for 16 min(24≤t≤40).Can you also please do the simulate the step response in MATLAB for the design and report achieved PO and settling time? Thank you.
- Find the time response of the one-step function of a system that has a transfer function in the forwardThe response of a system under arbitrary force can be determined by summing the responses resulting from several elementary impulses. Choose an option: RealFalseThe block diagram given below; A) Reduce it B) G1(s)=2/s ; G2(s)=1/4s+2 ; G3(s)=4 ;H(s)=0.5 Given the values of the system; find the time constant, its natural frequency and damping rate and explain what kind of dynamic behavior it exhibits accordingly. C)Find the poles and zeros of the system according to the values in (B).Is the system stable? Find the unit step response (Inverse Laplace).