Scilab Website | Contribute with GitLab | Mailing list archives | ATOMS toolboxes
Scilab Online Help
6.1.1 - Русский

Change language to:
English - Français - 日本語 - Português -

Please note that the recommended version of Scilab is 2024.0.0. This page might be outdated.
See the recommended documentation of this function

Справка Scilab >> CACSD > Control Design > Linear Quadratic > gcare

gcare

Continuous time control Riccati equation

Syntax

[X, F] = gcare(Sl)

Arguments

Sl

a continuous time linear dynamical system in state-space representation

X

symmetric matrix

F

real matrix

Description

Generalized Control Algebraic Riccati Equation (GCARE). X = solution , F = gain.

The GCARE for Sl=[A,B,C,D] is:

(A-B*Si*D'*C)'*X+X*(A-B*Si*D'*C)-X*B*Si*B'*X+C'*Ri*C=0

where S=(eye()+D'*D), Si=inv(S), R=(eye()+D*D'), Ri=inv(R) and F=-Si*(D'*C+B'*X) is such that A+B*F is stable.

See also

  • gfare — Continuous time filter Riccati equation

History

ВерсияОписание
5.4.0 Sl is now checked for continuous time linear dynamical system. This modification has been introduced by this commit
Report an issue
<< fourplan Linear Quadratic gfare >>

Copyright (c) 2022-2023 (Dassault Systèmes)
Copyright (c) 2017-2022 (ESI Group)
Copyright (c) 2011-2017 (Scilab Enterprises)
Copyright (c) 1989-2012 (INRIA)
Copyright (c) 1989-2007 (ENPC)
with contributors
Last updated:
Mon Jan 03 14:39:54 CET 2022