LPVNCFMR - Contractive coprime factor model reduction of a pss

Contents

Syntax

  [Pred,INFO] = lpvncfmr(P)
  [Pred,INFO] = lpvncfmr(P,ORDER)

Description

lpvncfmr performs balanced truncation model reduction through contractive coprime factorization of a pss.

[Pred,INFO] = lpvncfmr(P,ORDER) finds a balanced contractive coprime factorization of the LPV system P (analogous to a normalized coprime factorization for LTI systems), and performs a balanced truncation to remove those states that contribute the least to the input-output mapping of the balanced LPV system. If P has M states, then the reduced order system Pred will have ORDER states, with M - ORDER states removed using the balanced truncation. INFO.hsv contains a vector of singular values describing the input-output mapping of SYSB (comparable to Hankel singular values for LTI systems).

[Pred,INFO] = lpvncfmr(P) computes the balanced contractive coprime factorization of the LPV system P, and outputs it as Pred. This is equivalent to the call [Pred,INFO] = LPVNCFMR(P,Nx) for a system P with Nx states.