Ece382 fall2011 block diagram signal flow graph

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Unformatted text preview: Transfer Functions Transfer function is defined as: L {output variable} Transfer function = L {input variable} initial conditions are zero For example, find the transfer function Eo (s) of an RC circuit Ei (s) Block Diagrams A block diagram of a system is a graphical representation of a physical system, illustrating the functional relationship among its components Each functional block is connected by arrows which show the direction of signal flow Each block contains information concerning dynamic behavior, but it does not contain any information about the physical structure of the system A block diagram is NOT unique. We shall use the transfer function to determine the stability and response of the system. C. S. George Lee (Purdue Univ.) Block Diagrams & Signal-Flow Graphs ECE382 1 / 31 C. S. George Lee (Purdue Univ.) Block Diagrams & Signal-Flow Graphs ECE382 2 / 31 Components of a Block Diagram Block : C(s) = G(s)E(s); B(s) = H(s)C(s) Summing point: All signals going into a summing point must have the same unit. E(s) = R(s) - B(s) or E(s) = R(s) - C(s). Pick-off point or branch point. Arrows - representing signal flow direction (uni-directional). Transfer Function of a Feedback Control System Open-loop transfer function: B(s) = G(s)H(s) E(s) C(s) = G(s) E(s) C(s) =?...
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This note was uploaded on 02/05/2012 for the course ECE 382 taught by Professor Staff during the Fall '08 term at Purdue University.

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