function?[XFVALEXITFLAGOUTPUT]?=?PSO（FUNX0LBUBOPTIONSvarargin）
%PSO?finds?a?minimum?of?a?function?of?several?variables?using?the?particle?swarm?
%?optimization?（PSO）?algorithm?originally?introduced?in?1995?by?Kennedy?and?
%?Eberhart.?This?algorithm?was?extended?by?Shi?and?Eberhart?in?1998?through?the
%?introduction?of?inertia?factors?to?dampen?the?velocities?of?the?particles.
%?In?2002?Clerc?and?Kennedy?introduced?a?constriction?factor?in?PSO?which?was
%?later?on?shown?to?be?superior?to?the?inertia?factors.?Therefore?the?algorithm
%?using?a?constriction?factor?was?implemented?here.
%
%???PSO?attempts?to?solve?problems?of?the?form:
%???????min?F（X）?subject?to:?LB?<=?X?<=?UB
%????????X
%
%???X=PSO（FUNX0）?start?at?X0?and?finds?a?minimum?X?to?the?function?FUN.?
%???FUN?accepts?input?X?and?returns?a?scalar?function?value?F?evaluated?at?X.
%???X0?may?be?a?scalar?vector?or?matrix.
%???
%???X=PSO（FUNX0LBUB）?defines?a?set?of?lower?and?upper?bounds?on?the?
%???design?variables?X?so?that?a?solution?is?found?in?the?range?
%???LB?<=?X?<=?UB.?Use?empty?matrices?for?LB?and?UB?if?no?bounds?exist.?
%???Set?LB（i）?=?-Inf?if?X（i）?is?unbounded?below;?set?UB（i）?=?Inf?if?X（i）?is?
%???unbounded?above.
%???
%???X=PSO（FUNX0LBUBOPTIONS）?minimizes?with?the?default?optimization
%???parameters?replaced?by?values?in?the?structure?OPTIONS?an?argument?
%???created?with?the?PSOSET?function.?See?PSOSET?for?details.?
%???Used?options?are?SWARM_SIZE?COGNITIVE_ACC?SOCIAL_ACC?MAX_ITER
%???MAX_TIME?MAX_FUN_EVALS?TOLX?TOLFUN?DISPLAY?and?OUTPUT_FCN.
%???Use?OPTIONS?=?[]?as?a?place?holder?if?no?options?are?set.
%???
%???X=PSO（FUNX0LBUBOPTIONSvarargin）?is?used?to?supply?a?variable?
%???number?of?input?arguments?to?the?objective?function?FUN.
%???
%???[XFVAL]=PSO（FUNX0...）?returns?the?value?of?the?objective?
%???function?FUN?at?the?solution?X.
%???
%???[XFVALEXITFLAG]=PSO（FUNX0...）?returns?an?EXITFLAG?that?describes?the?
%???exit?condition?of?PSO.?Possible?values?of?EXITFLAG?and?the?corresponding?
%???exit?conditions?are:
%???
%?????1??Change?in?the?objective?function?value?less?than?the?specified?tolerance.
%?????2??Change?in?X?less?than?the?specified?tolerance.
%?????0??Maximum?number?of?function?evaluations?or?iterations?reached.
%????-1??Maximum?time?exceeded.
%???
%???[XFVALEXITFLAGOUTPUT]=PSO（FUNX0...）?returns?a?structure?OUTPUT?with?
%???the?number?of?iterations?taken?in?OUTPUT.nITERATIONS?the?number?of?function
%???evaluations?in?OUTPUT.nFUN_EVALS?the?coordinates?of?the?different?particles?in?
%???the?swarm?in?OUTPUT.SWARM?the?corresponding?fitness?values?in?OUTPUT.FITNESS?
%???the?particle‘s?best?position?and?its?corresponding?fitness?in?OUTPUT.PBEST?and
%???OUTPUT.PBEST_FITNESS?the?best?position?ever?achieved?by?the?swarm?in?
%???OUTPUT.GBEST?and?its?corresponding?fitness?in?OUTPUT.GBEST_FITNESS?the?amount
%???of?time?needed?in?OUTPUT.TIME?and?the?options?used?in?OUTPUT.OPTIONS.
%?
%???See?also?PSOSET?PSOGET



%?Copyright?（C

?屬性????????????大小?????日期????時間???名稱
-----------?---------??----------?-----??----
?????目錄???????????0??2007-10-10?09:43??PSO\
?????文件????????3627??2007-10-10?09:43??PSO\PSOGET.m
?????文件???????14537??2007-10-10?09:43??PSO\PSO.m
?????文件????????5851??2007-10-10?09:43??PSO\PSOSET.m