170 likes | 190 Views
Linear System. It is important to approximate a nonlinear system as a linear system. A linear system e xhibits properties of. Superposition: . Homogeneity :. Linear System. It is important to approximate a nonlinear system as a linear system. A linear system e xhibit properties of.
E N D
Linear System It is important to approximate a nonlinear system as a linear system. A linear system exhibits properties of Superposition: Homogeneity:
Linear System It is important to approximate a nonlinear system as a linear system. A linear system exhibit properties of Superposition: Homogeneity:
Nonlinear system We must find the equilibrium point Using Taylor series Neglecting higher order term
about Linearize Example Thus
Figure 2.31 Two-path interacting system. (a) Signal-flow graph. (b) Block diagram.
P1=G1G2G3G4 (path 1) P2=G5G6G7G8 (path 2) There are four self loops: Loops L1 and L2 do not touch L3 and L4, Removing loops that touch path 1, Removing loops that touch path 2,
Find the paths, Find the feedback loops: Loop L5 does not touch L4 or L7, and loop L3 does not touch L4