Chromosome Representation - Multiobjective Optimization Methodology: A Jumping Gene Approach - page 233

K p e v ( nT )

Ω 18 Ω 12 Ω 11 Ω 17

R

Ω 4 Ω 3

Ω 13 Ω 10

Ω 5 Ω 2

K i e p ( nT )

-R R

Ω 6 Ω 1

Ω 14 Ω 9

Ω 7 Ω 8

-R

Ω 15 Ω 16 Ω 20

Ω 19

(a)

K d ∆ y ( nT )

Ω 18 Ω 12 Ω 11 Ω 17

R

Ω 4 Ω 3

Ω 13 Ω 10

Ω 5 Ω 2

y d ( nT )

-R R

Ω 6 Ω 1

Ω 14 Ω 9

Ω 7 Ω 8

-R

Ω 19 Ω 15 Ω 16 Ω 20

(b)

Figure D.3
(a).Region.for.ΔuPI.and.(b).region.for.ΔuD.of.fuzzy.PI.and.D.controllers.input-combination.val-
ues..(From.Tang,.K..S.,.Man,.K..F.,.Chen,.G.,.Kwong,.S.,.An.optimal.fuzzy.PID.controller,. IEEE
TransactionsonIndustrialElectronics ,.48(4),.757-765,.2001.)

It.should.be.noted.that.a.single.constant. R .can.be.used.in.these.member-
ship. functions. since. the. inputs. and. outputs. will. be. weighted. by. the. gains.
,

K K K K
p

, , , .and. K uD .

i d uPI

References
. 1.. Carvajal,. J.,. Chen,. G.,. Ogmen,. H.,. Fuzzy. PID. controller:. Design,. performance.

evaluation,.and.stability.analysis,. InformationSciences ,.123,.249-270,.2000.

. 2.. Chen,. G.,. Conventional. and. fuzzy. PID. controllers:.An. overview,. International

JournalofIntelligentControlSystems ,.1,.235-246,.1996.