macglov

Continuous time dynamical systems Mac Farlane Glover problem

Calling Sequence

[P,r]=macglov(Sl)

Arguments

:Sl a continuous time linear dynamical system : :P a continuous time linear dynamical system, the “augmented” plant : :r 1x2 vector, dimension of P22 :

Description

[P,r]=macglov(Sl) returns the standard plant P for the Glover- McFarlane problem.

For this problem ro_optimal = 1-hankel_norm([N,M]) with [N,M]=lcf(sl) (Normalized coprime factorization) i.e.

gama_optimal = 1/sqrt(ro_optimal)

P is returned in the same representation (transfer function or state-space) than Sl.

Examples

MAC-FARLANE PROBLEM for G=1/s^3;

G=`syslin`_("c",1/%s^3);
[P,r]=macglov(G);

//K Optimal controller , ro = gamaopt^-2;
[K,ro]=`h_inf`_(P,r,0,1,30);

Authors

  1. Delebecque INRIA

History

Version Description 5.4.0 Sl is now checked for continuous time linear dynamical system. This modification has been introduced by this `commit`_ .. _commit: http://gitweb.scilab.org/?p=scilab.git;a=commit;h=3d7083daae3339813ba747c8adcda1f9599bb80d

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