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Справка Scilab >> CACSD > Linear Analysis > Controllability Observability > unobs

unobs

unobservable subspace

Syntax

[n,[U]]=unobs(A,C,[tol])

Arguments

A, C

real matrices

tol

tolerance used when evaluating ranks (QR factorizations).

n

dimension of unobservable subspace.

U

orthogonal change of basis which puts (A,B) in canonical form.

Description

[n,[U]]=unobs(A,C,[tol]) gives the unobservable form of an (A,C) pair. The n first columns of U make a basis for the unobservable subspace.

The (2,1) block (made of last nx-n rows and n first columns) of U'*A*U is zero and the n first columns of C*U are zero.

Examples

A=diag([1,2,3]);C=[1,0,0];
unobs(A,C)

See also

  • contr — controllability, controllable subspace, staircase
  • contrss — controllable part
  • canon — canonical controllable form
  • cont_mat — controllability matrix
  • spantwo — sum and intersection of subspaces
  • dt_ility — detectability test
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Last updated:
Tue Feb 14 15:13:23 CET 2017