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 state-space model sysT with equations.
or, in the case of an IDSS model:
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.
Perform a similarity transform to improve the conditioning of the A matrix.
T = balance(sys.a) sysb = ss2ss(sys,inv(T))