Benjamin C.kuo Signal Flow Graph

Automated Control Systems, 8/E by Benjamin C. Kuo and Farid GolnaraghiCopyright © 2003 John Wiley & Sons. Inc. All rights reserved.

Figure 3-1 (p. 44)(a) Block diagram of a dc-motor control system. (b) Block diagram with transfer functions and amplifier characteristics.


Figure 3-2 (p. 45)Block diagram elements of typical sensing devices of control systems.(a) Subtraction. (b) Addition. (c) Addition and Subtraction. (d) Multiplication.


Figure 3-3 (p. 46)Basic block diagram of a feedback control system.


Figure 3-4 (p. 47)Block diagram representations of a multivariable system.


Figure 3-5 (p. 47)Block diagram of a multivariable feedback control system.


Figure 3-6 (p. 49)Signal flow graph of y2 = a12 y1.


Figure 3-7 (p. 50)Step-by-step construction of the signal-flow graph in Eq. (3-27).


Figure 3-8 (p. 51)Modification of a signal-flow graph so that y2 and y3 satisfy the condition as output nodes.


Figure 3-9 (p. 51)Erroneous way to make node y2 an input node.


Figure 3-10 (p. 52)Four loops in the signal-flow graph of Fig. 3-7(d).


Figure 3-11 (p. 52)Node as a summing point and as a transmitting point.


Figure 3-12 (p. 53)Signal-flow graph with parallel paths replaced by one with a single branch.


Figure 3-13 (p. 53)Signal-flow graph with cascade unidirectional branches replaced by a single branch.


Figure 3-14 (p. 54)Signal-flow graph of the feedback control syswtem shown in Fig. 3-3.


Figure 3-15 (p. 56)Signal-flow graph for Example 3-5.


Figure 3-16 (p. 57)(a) Block diagram of a control system. (b) Equivalent signal-flow graph.


Figure 3-17 (p. 59)Signal-flow graph representation of X1(s) = [X2(s)/s] + [x1(t0)/s].


Figure 3-18 (p. 59)Signal-flow graph representation of X1(s) = [X2(s)/s] + [x1(t0)/s].


Figure 3-19 (p. 60)State-diagram representation of the differential equation of Eq. (3-58).


Figure 3-20 (p. 61)State diagram for Eq. (3-60).


Figure 3-21 (p. 62)State diagram of Fig. 3-20 with the initial states and the integrator branches left out.


Figure 3-22 (p. 62)(a) State diagram.(b) State diagram in part (a) with all initial states and integrators left out.


Figure 3-23 (p. 63)The Transfer Function Calculator window.


Figure 3-24 (p. 64)The MATLAB help dialog box for the TFcal tool.


Figure 3-25 (p. 64)Basic block diagrams used in the TFcal tool.


Figure 3-26 (p. 65)The TFcal results for case (a) in Fig. 3-25, corres-ponding to Example 3-12.


Figure 3P-1 (p. 67)


Figure 3P-4 (p. 68)


Figure 3P-6 (p. 68)


Figure 3P-7 (p. 69)


Figure 3P-8 (p. 70)


Figure 3P-9 (p. 70)


Figure 3P-10 (p. 71)


Figure 3p-11 (p. 72)

Benjamin C.kuo Signal Flow Graph

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