LPVBALREAL - Gramian-based balancing for PSS objects

Contents

Syntax

  SYSB = LPVBALREAL(SYS)
  [SYSB,G] = LPVBALREAL(SYS)
  [SYSB,G,T,Ti] = BALREAL(SYS)
  [SYSB,G,T,Ti] = LPVBALREAL(SYS,...,INVERSE)

Description

SYSB = LPVBALREAL(SYS) computes a balanced realization of the parameter varying system SYS. SYSB is dervied by computing a single balancing transformation for SYS and applying it at every point in its domain.

[SYSB,G] = LPVBALREAL(SYS) returns G, a vector of singular values describing the input-output mapping of SYSB (comparable to Hankel singular values for LTI systems).

[SYSB,G,T,Ti] = BALREAL(SYS) returnes the balancing transformation T, and its inverse Ti.

[SYSB,G,T,Ti] = LPVBALREAL(SYS,...,INVERSE) provides an option to use a alternative implementation of the algorithm which computes the balancing transformation. If INVERT is True the alternative formulation is used. It can improve the accuracy of the solution for certain systems. The default implementation assumes INVERT=FALSE.