lincos

Constructs by linearization a linear state-space model from a general dynamical system described by a Xcos diagram

Syntax

sys = lincos(scs_m [,x0,u0 [,param] ])

Module

xcos

Description

Construct a linear state-space system by linearizing a model given as a Xcos diagram. The idea is to transform a sub-diagram to a linear state-space model. The sub-diagram should have inputs and outputs.

The output is a Scilab data structure of type continuous-time state-space linear system.

Examples

// loading data
exec("SCI/modules/xcos/tests/unit_tests/PENDULUM_ANIM.sci");
exec("SCI/modules/xcos/tests/unit_tests/anim_pen.sci");

loadXcosLibs(); loadScicos();
importXcosDiagram("SCI/modules/xcos/tests/unit_tests/pendulum_anim45.zcos");

// specific context data
M  = 10;
m  = 3;
l  = 3;
ph = 0.1;
z0 = -4;
th0 = .02;

// looking for the Superblock to linearize
for i=1:length(scs_m.objs)
    if typeof(scs_m.objs(i))=="Block" & scs_m.objs(i).gui=="SUPER_f" then
        scs_m = scs_m.objs(i).model.rpar;
        break;
    end
end

sys = lincos(scs_m);

bode(sys);

Arguments

scs_m : a xcos data structure
x0 : column vector. Continuous state around which linearization to be done (default 0)
u0 : column vector. Input around which linearization to be done (default 0)
param : param: list with two elements (default list(1.d-6,0)) param(1): scalar. Perturbation level for linearization; the following variation is used del([x;u])_i = param(1)+param(1)*1d-4*abs([x;u])_i. param(2): scalar. Time t.
sys : state-space system

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