State coordinate transformation for state-space model
sysT = ss2ss(sys,T)
Given a state-space model
sys with equations
or the innovations form used by the identified state-space (IDSS) models:
(or their discrete-time counterpart),
ss2ss performs the similarity
transformation on the state vector x and produces the equivalent
sysT with equations.
or, in the case of an IDSS model:
(IDSS models require System Identification Toolbox™ software.)
sysT = ss2ss(sys,T) returns the transformed
sys and the state
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
Perform a similarity transform to improve the conditioning of the A matrix.
[T,~] = balance(sys.A) sysb = ss2ss(sys,inv(T))