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)
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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) = (8x+7)/(s3+4s2+6s+8)
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...
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...
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...
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. 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
(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...
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 =...
D. Question 4 Evaluate the stability of the systems with each of these transfer functions: H(s) =-100 8+200 . H (s)=804 H(s) 15s . H(s)=7741029 2 +4s+29 3s2+12 s2-4s+29
Block Diagram Algebra Find the transfer functions for the following three block diagrams: 4. D(s) o Y(s) H(s) G(s)