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Highlights from
NelinSys

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from NelinSys by Martin Ondera
A program tool for analysis and synthesis of nonlinear control systems based on MATLAB/Simulink 5.2

fazrov_typ1(t,x,u,flag,num,den,w,nelintyp,nelinpar,x10)
function [sys,x0,str,ts] = fazrov_typ1(t,x,u,flag,num,den,w,nelintyp,nelinpar,x10)

% NelinSys - a program tool for analysis and synthesis of nonlinear control systems
%            based on MATLAB/Simulink 5.2
%
% (C) 2002-2005, Martin Ondera (Martin.Ondera@gmail.com) (eskimo@pobox.sk)

switch flag,

% =========================== Inicializacna cast s-funkcie  ============================== %
case 0

   % Definicia stavov, vstupov a vystupov %
   sizes = simsizes;
   sizes.NumContStates = length(x10);
   sizes.NumDiscStates = 0;
   sizes.NumOutputs = 2 * sizes.NumContStates + 1;
   sizes.NumInputs = 0;
   sizes.DirFeedthrough = 0;
   sizes.NumSampleTimes = 1;
   sys = simsizes(sizes);
   
   % Nastavenie pociatocnych podmienok (PP) %
   x0 = x10';

   % Rovnica pre x2 nie je diferencialna => hodnoty x2 treba ukladat inym sposobom %
   for k = 1:length(x10)

         % Vypocet hodnoty "u" podla prevodovej charakteristiky typickej nelinearity %
         switch (nelintyp)
            
            case 1,        % Idealne rele %
               vstup = (w-x0(k)<0)*nelinpar(1) + (w-x0(k)>=0)*nelinpar(2);
               
            case 2,        % Nasytenie (ohranicenie) %
               tga = (nelinpar(4)-nelinpar(2))/(nelinpar(3)-nelinpar(1));
               q = nelinpar(2) - tga*nelinpar(1);
               vstup = (w-x0(k)<=nelinpar(1))*nelinpar(2) + ((w-x0(k)>nelinpar(1))&(w-x0(k)<nelinpar(3)))*(tga*(w-x0(k))+q) + (w-x0(k)>=nelinpar(3))*nelinpar(4);

            case 3,        % Rele s necitlivostou %
               vstup = (w-x0(k)<=nelinpar(1))*nelinpar(2) + (w-x0(k)>=nelinpar(3))*nelinpar(4);
               
            case 4,        % Rele s hytereziou %
               vstup = (w-x0(k)<=nelinpar(1))*nelinpar(2) + (w-x0(k)>=nelinpar(3))*nelinpar(4);
               
			end
            
         % Vypocet stavovej veliciny x1 (t.j. vystupu obvodu) %
         x20(k,:) = (num*vstup-den(2)*x10(k))/den(1);
   end
   
   % Posledny vystup je len priznak konca simulacie %
   x20(end+1,:) = 0;
   
   % Ulozenie pociatocnych podmienok pre x2 do parametrov bloku %
   set_param(get_param(gcbh,'Parent'),'UserData',x20);
   
   % Inicializacia "str" ako prazdna matica %
   str = [];

   % Sample times in TS %
   ts = [0 0];
   
% ========================== Vypocet podla 1. stavovej rovnice ========================== %
case 1
   
   % Ziskanie hodnot x2 = der(x1) %
   x2 = get_param(get_param(gcbh,'Parent'),'UserData');
   
   % Vypocet pre systemy prveho radu - riesenie obycajnej diferencialnej rovnice %
   for k = 1 : length(x10)

         % Vypocet hodnoty "u" podla prevodovej charakteristiky typickej nelinearity %
         switch (nelintyp)
            
            case 1,        % Idealne rele %
               vstup = (w-x(k)<0)*nelinpar(1) + (w-x(k)>=0)*nelinpar(2);
               
            case 2,        % Nasytenie (ohranicenie) %
               tga = (nelinpar(4)-nelinpar(2))/(nelinpar(3)-nelinpar(1));
               q = nelinpar(2) - tga*nelinpar(1);
               vstup = (w-x(k)<=nelinpar(1))*nelinpar(2) + ((w-x(k)>nelinpar(1))&(w-x(k)<nelinpar(3)))*(tga*(w-x(k))+q) + (w-x(k)>=nelinpar(3))*nelinpar(4);

            case 3,        % Rele s necitlivostou %
               vstup = (w-x(k)<=nelinpar(1))*nelinpar(2) + (w-x(k)>=nelinpar(3))*nelinpar(4);
               
            case 4,        % Rele s hytereziou %
               vstup = (w-x(k)<=nelinpar(1))*nelinpar(2) + ((w-x(k)>nelinpar(1))&(w-x(k)<nelinpar(3))&(-x2(k)>=0))*nelinpar(2) + ((w-x(k)>nelinpar(1))&(w-x(k)<nelinpar(3))&(-x2(k)<=0))*nelinpar(4) + (w-x(k)>=nelinpar(3))*nelinpar(4);
               
			end
            
         % Vypocet stavovej veliciny x1 (t.j. vystupu obvodu) %
         sys(k,:) = (num*vstup-den(2)*x(k))/den(1);
   end
   
   % Ak sa riesenie dostalo mimo rozsah, nekresli dalej a nastav priznak konca simulacie %
   if any(isinf(sys)) | any(isnan(sys)) | any(~isreal(sys))
      sys = zeros(size(sys));
      stop_sim = 1;
   else
      stop_sim = 0;
   end
 
   % Rovnica pre x2 je algebraicka rovnica => nemozno pouzit stavy pre ukladanie x2 %
   set_param(get_param(gcbh,'Parent'),'UserData',[sys; stop_sim]);
   
% ========================== Vypocet podla 2. stavovej rovnice ========================== %
case 3
   % Vystup hodnot x1 (stavove veliciny) a x2 (nacitaj z parametra bloku) %
   sys = [x; get_param(get_param(gcbh,'Parent'), 'UserData')];
   
% ================================= Nepouzite priznaky ================================== %
case {2, 4, 9}
   sys = [];

% ================================= Spracovanie chyby =================================== %
otherwise
   error(['Unknown flag = ',num2str(flag)]);
end

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