Easy UPVOTE For the transfer function given below G(S) 2s + 3 52 + 5s +...
For the transfer function given below G(S) 2s + 2 52 +53 +6 a) Find the differential equation. b) Present this system in a state space representation with a diagonal state matrix. c) Present this system using pole-zero form.
uestionI. A system is represented by the following transfer function G(s)- (s+1)/(s2+5s+6) 1) Find a state equation and state transition matrices (A,B, C and D) of the system for a step input 6u(t). ii) Find the state transition matrix eAt) ii) Find the output response of system y(t) to a step input 6u(t) using state transition matrix, iv) Obtain the output response y(t) of the system with two other methods for step input óu(t). Question IV. A system is described...
Q1, pease help asap, please write clearly. Thanks in advance. 1. Given the transfer function of the control system. (60%) G(s) S) 5s+13 R(s) +6s+13 Y (1) Sketch the state diagram in the form of signal flow graph. (2) Find the state equations. (3) Find the output equation. (4) Find the fundamental matrix 2(t). (5) Find the state-transition matrix D(t) (6) Find the state vector x(t) if the input r(t) 2 and y(0)= (0) = 0 . 1. Given the...
12. G(s)=3/s(s+3)(s+5) Draw a bode plot for the given Transfer function? 13.G(s)=3/s^2+5s+10 For the given transfer function,design a PID controller TF using 2N method?
g / 4.18/A process has the transfer function Y(s) U(s) G(s) = 2s + 1 (a) For a step change in the input U(s) 2/s, sketch the response y(t) (you do not need to solve the differential equation). Show as much detail as possible, including the steady-state value of y(t), and whether there is oscillation. (b) What is the decay ratio? 425 Can a tank with the outflow rate fixed by a constant speedl pump reach a steady state if...
you can use matlab to solve 1. Given the plant model differential equation: y" + 6y'+ 12y 12u(t) Find: a) G(s) continuous transfer function he step response of the unity feedback system c) The appropriate sampling time d) G(z) pulse transfer function e) Continuous State Space, A, B, C, D f) Discrete State Space, A, B, C, D 1. Given the plant model differential equation: y" + 6y'+ 12y 12u(t) Find: a) G(s) continuous transfer function he step response of...
3. The transfer function of a control system is given as G(s) = (s+1)(s+2)(s45) (a) Determine a state variable representation in observer canonical form. (b) Design a full order observer of the system. Let the poles of the observer be 10 times faster than the system poles. Show the observer gain matrix. (c) Determine and plot the errors responses between the estimated output and the actual output. (d) Determine and plot the estimated state variables and determine their settling times....
= 2s +1 Consider the continuous-time LTI causal system with Transfer function H(s) $? + 5s +6' a) Compute the ROC for H(s). (3 pts) b) Discuss the BIBO stability of the system. (2pts) c) Compute the system output when the input is x(t) = 8(t) (Dirac's delta). (5 pts)
Problem 4. Transfer function to state space form Find the state-space form of the following transfer func- tions (see Section 4.4.1 in the book). This requires zero computation, it just requires you understand how a SISO transfer function relates to the state space form shown in the book. a) = Y(s) _ 68 +3 G(s) s3 + 26s2 5s 50 b) Y(s) + 2s2 + 4s 6 U(s) s3 +12s +12
Consider the unity feedback system is given below R(S) C(s) G(s) with transfer function: G() = K(+2) s(s+ 1/s + 3)(+5) a) Sketch the root locus. Clearly indicate any asymptotes. b) Find the value of the gain K, that will make the system marginally stable. c) Find the value of the gain K, for which the closed-loop transfer function will have a pole on the real axis at (-0.5).