ss2ss (Control System Toolbox)

State coordinate transformation for state-space models

Syntax

sysT = ss2ss(sys,T)

Description

Given a state-space model sys with equations

(or their discrete-time counterpart), ss2ss performs the similarity transformation

on the state vector

and produces the equivalent state-space model sysT with equations.

sysT = ss2ss(sys,T)

returns the transformed state-space model sysT given sys and the state coordinate transformation T. The model sys must be in state-space form and the matrix T must be invertible. ss2ss is applicable to both continuous- and discrete-time models.

Example

Perform a similarity transform to improve the conditioning of the

matrix.

T = balance(sys.a)
sysb = ss2ss(sys,inv(T))

See ssbal for a more direct approach.