wernset.m

FISMAT accommodates different arithmetic operators, fuzzification and defuzzification algorithm, imp

% WERNSET.M 
%
% Script-File with the fuzzy set definition for the fuzzy controller
% file WERN93.M
% All sets for using the FUZZIFI() function (matrix set form)
%
% FSTB - Fuzzy Systems Toolbox for MATLAB
% Copyright (c) 1993-1996 by Olaf Wolkenhauer
% Control Systems Centre at UMIST
% Manchester M60 1QD, UK
%
% 12-August 1993
 
Umin=;        % minimum controller output
Umax=;        % maximum controller output
kp=;          % proportional gain
T=;           % sample period
Tn=;          % integral time
Tv=;          % derivative time

neg=1; null=2; pos=3;

% P1...P4 are the characteristical points for a trapezium.

% The set for e(k)
%        P1         P2        P3        P4
neg = [-inf    ; Umin/kp  ; Umin/kp ;   0     ];
null= [Umin/kp ;   0      ;  0      ; Umax/kp ];
pos = [  0     ; Umax/kp  ; Umax/kp ;  inf    ];

eset=[neg,null,pos];

% The set for sum(e(i))
%         P1          P2          P3         P4
neg = [-inf      ; Umin*Tn/T ; Umin*Tn/T ;   0       ];
null= [Umin*Tn/T ;    0      ;    0      ; Umax*Tn/T ];
pos = [   0      ; Umax*Tn/T ; Umax*Tn/T ;   inf     ];

seset=[neg,null,pos];

% The set for e(k)-e(k-1)
%         P1          P2          P3         P4
neg = [-inf      ; Umin*Tv/T ; Umin*Tv/T ;   0       ];
null= [Umin*Tv/T ;    0      ;    0      ; Umax*Tv/T ];
pos = [   0      ; Umax*Tv/T ; Umax*Tv/T ;   inf     ];

deset=[neg,null,pos];

% The set for the controller output u(k)
%         P1         P2         P3        P4
neg = [1.5*Umin ; 1.5*Umin ; Umin/2   ; Umin/2   ];
null= [Umin/2   ; Umin/2   ; Umax/2   ; Umax/2   ];
pos = [Umax/2   ; Umax/2   ; 1.5*Umax ; 1.5*Umax ];

oset=[neg,null,pos];