Scilab 6.1.0
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gfare
Continuous time filter Riccati equation
Syntax
[Z, H] = gfare(Sl)
Arguments
- Sl
a continuous time linear dynamical system in state-space representation
- Z
symmetric matrix
- H
real matrix
Description
Generalized Filter Algebraic Riccati Equation (GFARE).
Z = solution, H = gain.
The GFARE for Sl=[A,B,C,D] is:
(A-B*D'*Ri*C)*Z+Z*(A-B*D'*Ri*C)'-Z*C'*Ri*C*Z+B*Si*B'=0
where S=(eye()+D'*D), Si=inv(S), R=(eye()+D*D'), Ri=inv(R)
and H=-(B*D'+Z*C')*Ri is such that A+H*C is stable.
See also
- gcare — Continuous time control Riccati equation
History
| Version | Description |
| 5.4.0 | Sl is now checked for
continuous time linear dynamical system. This modification
has been introduced by this commit |
| Report an issue | ||
| << gcare | Linear Quadratic | leqr >> |