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Scilab Help >> CACSD (Computer Aided Control Systems Design) > obs_gram

obs_gram

observability gramian

Calling Sequence

Go=obs_gram(A,C [,dom])
Go=obs_gram(sl)

Arguments

A,C

real matrices (of appropriate dimensions)

dom

string ("d' or "c" (default value))

sl

syslin list

Description

Observability gramian of the pair (A,C) or linear system sl (syslin list). dom is the domain which can be

"c"

continuous system (default)

"d"

discrete system

Examples

A=-diag(1:3);C=rand(2,3);
Go=obs_gram(A,C,'c');     // <=> w=syslin('c',A,[],C); Go=obs_gram(w);
norm(Go*A+A'*Go+C'*C,1)
norm(lyap(A,-C'*C,'c')-Go,1)
A=A/4; Go=obs_gram(A,C,'d');    //discrete time case
norm(lyap(A,-C'*C,'d')-Go,1)

See Also

Report an issue
<< nyquistfrequencybounds CACSD (Computer Aided Control Systems Design) obscont >>

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Last updated:
Thu Oct 02 13:46:49 CEST 2014