MATH319 Slides

162 Internal stability of SFL

Definition (Internal stability)

The SFL system is internally stable if all the transfer functions in the matrix Φ are stable, so

11+GK,G1+GK,GK1+GK,K1+GK,

all belong to 𝒮.

The idea is that we want all the junctions in the diagram to be stable. (Think of the x,y,z as representing the temperature of the components of a tumble drier; we need to ensure that these do not overheat.)