Express the following transfer functions, H(s) in a state variable a) 1st Companion Form b) Jordan Form. Draw Block Diagrams showing outputs. Check controllability and observability of the state space equations.
H(s) = (8x+7)/(s3+4s2+6s+8)
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Express the following transfer functions, H(s) in a state variable a) 1st Companion Form b) Jordan...
Express the following transfer functions, H(s) in a state variable a) 1st Companion Form b) Jordan Form. Draw Block Diagrams showing outputs. Check controllability and observability of the state space equations. H(s) = 1/(s2+4s+4)
The state variable model of the two tanks process is given by the equations r1 10 01 r1o 2 0-1 lu Tank 1 Tank 2 Explain the differential equations for the tanks Draw the block diagram for the system model * .Modify the block diagram to realize the system model by first order transfer functions: 1+Ts Determine the controllability and observability of the system model Design a full-state feedback with the eigen values λ-λ2--2 of the closed loop system Design...
4. Block Diagrams (a) Consider a causal LTI system with transfer function H(s)2 Show the direct-form block diagram of Hi(s) (b) Consider a causal LTI system with transfer function 2s2 +4s -6 H(s)- Show the direct-form block diagram of Hi(s) c) Now observe that to draw a block diagram as a cascaded combination of two 1st order subsystems. d) Finally, use partial fraction expansion to express this system as a sum of individual poles and observe that you can draw...
State space of transfer function 10. Consider the following input-output transfer function. U(s) s3 6s 11s +4 Draw the CCF state diagram of the system. Obtain the dynamic equations of the system in CCF. i.i Obtain the dynamic equations of the system in odr. 10. Consider the following input-output transfer function. U(s) s3 6s 11s +4 Draw the CCF state diagram of the system. Obtain the dynamic equations of the system in CCF. i.i Obtain the dynamic equations of the...
4. Block Diagrams (a) Consider a causal LTI system with transfer function Show the direct-form block diagram of Hi(s) b) Consider a causal LTI system with transfer function H282+4s -6 H (s) = 2 Show the direct-form block diagram of Hi(s) (c) Now observe that to draw a block diagram as a cascaded combination of two 1st order subsystems. (d) Finally, use partial fraction expansion to express this system as a sum of individual poles and observe that you can...
Convert following the transfer function into state space representation (Marks 5) 3 +45² T($) = 54 +52 +7 Convert the following state space into a transfer function. (Marks 5) x = 11 * = x + ( u 21 y = [02]x + [2]u Evaluate the steady-state error of state-space system. (Marks 5) i [ 10] [21. *= 15 2]* +11 y = [ 02]x + [2]u Evaluate the steady-state error of state-space system. (Marks 5) -1 0x+lu x =...
(10 ea) For the following system transfer functions, draw the signal-flow graphs, write the Concerning an open-loop version of the system above, write the state and output functions, and represent the systems in state space in Jordan canonical form. 3. (s+3)2 (s+4) G(s)=-(s+7) G(s) (s+4) s+ b) c) (s+2)2(s+5)(s+6) (10 ea) For the following system transfer functions, draw the signal-flow graphs, write the Concerning an open-loop version of the system above, write the state and output functions, and represent the...
Problem 3-Find the state-space representation in both canonical controller and phase-variable form of the transfer functions below R(s) C(s) 8s + 10 45s3 +s2 +5s + 13 5 +9s4+1383 +8s2
Problem 4: Given the transfer function, 25pts 25 H(s) S2+6s 25 (a) (b) (c) Fi Find Please put the units. Find the poles of the system. Is this system overdamped, underdamped, the settling time, peak time, percent overshoot, and rise time. undamped or critically damped. Explain. nd the state space representation in phase variable form of the above transfer function H(s)
Answer Q.2,3,4 and 5 9:56 Done 5 of 7 04. a) Obtain the state variable model of the following system. Find A and B matrices in standard form. 3X(t) 6X(t) + 12 X()+3 Y (t) U() 4 Y(t) + 4 X(t)+8 Y(t)-12 U(t) b) Let the Outputs be X and Y + U(you might have renamed those variables. Use names), find C and D metrices in standard form. your new os.a) Draw a block diagram for h folowing model. The...