Automatic control 1 modeling Lesson 5 Block diagrams

Automatic control 1. modeling Lesson 5 Block diagrams & Signal flow graphs Automatic Control by Meiling CHEN

Automatic control block summer Automatic Control by Meiling CHEN pickoff point 2

Automatic control Automatic Control by Meiling CHEN 3

Automatic control Automatic Control by Meiling CHEN 4

Automatic control Automatic Control by Meiling CHEN 5

original equivalent Automatic Control by Meiling CHEN 6

original equivalent G G G Automatic Control by Meiling CHEN 7

original equivalent G G G Automatic Control by Meiling CHEN 8

Automatic control Example 1 Automatic Control by Meiling CHEN 9

Automatic control Example 2 Automatic Control by Meiling CHEN 10

Signal flow graphs Automatic Control by Meiling CHEN Automatic control 11

Automatic control Automatic Control by Meiling CHEN 12

Automatic control Mason’s Rule Mason’s gain rule is as follows: the transfer function of a system with signal-input, signal-output flow graphs is Δ=1 -(sum of all loop gains)+(sum of products of gains of all combinations if 2 nontouching loops)- (sum of products of gains of all combinations if 3 nontouching loops)+… A path is any succession of branches, from input to output, in the direction of the arrows, that does not pass any node more than once. A loop is any closed succession of branches in the direction of the arrows that does not pass any node more than once. Automatic Control by Meiling CHEN 13

Automatic control Example 3 Automatic Control by Meiling CHEN 14

Example 4 find Automatic Control by Meiling CHEN 15