EE 37100 Lecture : 3 Signal Flow Graphs

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Signal flow graphs : graphical diagrams representation of block m sfg determines the overall tf of a control system. M sfg easier to determine the tf no elements of a sfg. Nodes : function points to represent variables . Input node : node that has only outgoing branches. Mason "s gain rule us to calculate the overall a system : qgq(cid:15482) - transfer function of the 2k. D = determinant of signal flow diagram a-th subgraph. Apply mason "s rule: find forward path : r - x - y - c, forward path gain : g cdc d= g c) loop : x - y - a, loop gain : multiply branches. G gh) = - gh on loop ( p d: d = 1 - e e individual loops ] t e e a non torching loop ] - E e 3 non touching loop] . there"s only one loop. C t erasing path : no isolated loops.

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