POWER ENGINEERING AND ELECTRICAL ENGINEERING VOLUME: 17 |NUMBER: 3 |2019 |SEPTEMBER
Design and Implemen a ion o Takagi-Sugeno Fuzzy
T acking Con ol o a DC-DC Buck Con e e
Dhaouadi GUIZA1, Youce SOUFI 2, Djamel OUNNAS 2, Abde ezak METATLA1
1Depa men o Mechanical Enginee ing, Facul y o Technology,
Uni e si y o Skikda, 26 Rou e El Hadaiek. 21000 Skikda, Alge ia.
2LABGET Labo a o y, Depa men o Elec ical Enginee ing, Facul y o Science and Technology,
Uni e si y o Tebessa, Rou e de Cons an ine, 12002 Tebessa, Alge ia
d.guiza@uni - ebessa.dz, y_sou i@yahoo. , djamel.ounnas@uni - ebessa.dz, me a la21_abde ezak@yahoo.
DOI: 10.15598/aeee. 17i3.3126
Abs ac . This pape p esen s he design and imple-
men a ion o a Takagi-Sugeno (T-S) uzzy con olle
o a DC-DC buck con e e using A duino boa d. The
p oposed uzzy con olle is able o pilo he s a es o
he buck con e e o ack a e e ence model. The T-S
uzzy model is employed, i s ly, o ep esen exac ly he
dynamics o he nonlinea buck con e e sys em, and
hen he conside ed con olle is designed on he basis
o a concep called Vi ual Desi ed Va iables (VDVs).
In his case, a wo-s age design p ocedu e is de eloped:
i) de e mine he e e ence model acco ding o he de-
si ed ou pu ol age, ii) de e mine he uzzy con olle
gains by sol ing a se o Linea Ma ix Inequali-
ies (LMIs). A digi al implemen a ion o he p o-
posed T-S uzzy con olle is ca ied ou using he
ATmega328P-based Mic ocon olle o he A duino
Uno boa d. Simula ions and expe imen al esul s
demons a e he alidi y and e ec i eness o he p o-
posed con ol scheme.
Keywo ds
A duino boa d, DC-DC buck con e e ,
T-S uzzy model.
1. In oduc ion
DC-DC buck con e e s a e widely used in indus ial
and home en i onmen (mobile phone, compu e s, and
home appliances). Thanks o hei inc easingly high e -
iciency, oge he wi h a educed size, weigh and cos ,
hey ha e held an impo an place in connec ions o
s o age ba e ies, pho o ol aic sys ems, wind u bines,
hyb id sys ems [1], [2], [3] and [4]. Howe e , he con-
ol o a buck con e e is s ill a challenging ask be-
cause such a sys em exhibi s a nonlinea beha io wi h
inhe en unce ain ies and dis u bances. Thus, he lin-
ea con ol schemes canno ensu e sa is ac o y pe o -
mances o e a wide ope a ing ange [5]. To add ess his
p oblem, nonlinea and ad anced con ol design me h-
ods ha e been p oposed, such as linea iza ion con ol
[6] and [7], sliding mode [8] and [9], adap i e con ol
[10] and [11], backs epping con ol app oach [12] and
exac linea iza ion me hods [13].
The simplici y o design and he obus ness o he
sliding mode con olle ha e made i he mos used one
[14] and [15]. Bu , hese ad an ages a e neu alized
by he p esence o an undesi able phenomenon known
as ’cha e ing’ (oscilla ions ha ing ini e equency and
ampli ude) which is conside ed as he main obs acle o
implemen a ion [16] and [17]. In [18] and [19] an adap-
i e backs epping con olle is p oposed o DC-DC
buck con e e s. Bu i also su e s om di icul ies and
limi a ions du ing he implemen a ion s age. In [20]
and [21], a s a e eedback exac linea iza ion me hod is
applied o DC-DC buck con e e s. Howe e , in [20],
he e ec s o he di e en pa asi ic elemen s a e no
aken in o accoun , while in [21] he de eloped con-
olle canno be used in a wide ange o a ia ion be-
cause o he excessi e ou pu ol age o e shoo .
In he ield o uzzy logic, much esea ch has de o ed
o he applica ion o uzzy Mamdani con olle s o con-
e e s [22] and [23]. These wo ks a e ypically based
on a small signal model using he s a e space a e ag-
ing me hod; he model ob ained by hese me hods is
only use ul o small a ia ions a ound a speci ic ope -
a ing poin , whe eas he applica ion o Takagi-Sugeno
(T-S) uzzy models on buck con e e s is no su i-
cien ly in es iga ed. The T-S uzzy models owe hei
popula i y o hei e ec i eness in modeling and con-
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olling nonlinea sys ems [24] and [25]. The T-S uzzy
model ep esen s a nonlinea sys em by a se o uzzy I -
Then ules, which locally ep esen s he inpu -ou pu
ela ionships o a sys em exp essing each conclusion
wi h a linea subsys em. The ad an age o his ype
o uzzy model lies in he s abili y o he uzzy sys em
which can be analyzed using he Lyapuno me hod,
and hen ea ed in e ms o he easibili y o a se o
Linea Ma ix Inequali ies (LMIs). In his case, he
p oblem can be sol ed easily by nume ical con ex op-
imiza ion echniques [26].
Recen ly, he T-S uzzy acking con ol p oblem has
been add essed in many wo ks based on a concep
knwon as Vi ual Desi ed Va iables (VDVs) o sim-
pli y he de elopmen o he con ol law and e e ence
model [27], [28], [29], [30], [31] and [32]. Fu he mo e,
he VDVs concep allows con e ing easily he ack-
ing p oblem in o a s abiliza ion one. The concep has
been analyzed in a numbe o s udies using he Lya-
puno app oach and success ully in es iga ed in many
con ol applica ions. Fo example, in [28], i was em-
ployed o con ol a wind ene gy con e sion sys em. In
[29], i was employed o con ol a Pe manen Magne
Synch onous Machine (PMSM) while in [30], he same
concep was used o con ol a pho o ol aic sys em. In
[31], i was used o de elop a uzzy o que obse e
o PMSM and in [32], i was combined wi h H in in-
i y pe o mance o design a T-S uzzy con olle o
a PMSM.
In his pape , he pu pose is o de elop a T-S uzzy
acking con olle o a buck con e e based on he
VDVs concep . In his case, he p oposed con olle
can be used o d i e he sys em o ollow he desi ed
e e ence. Fi s , he nonlinea buck con e e sys em
is ep esen ed by a T-S uzzy model. Then, a uzzy
con olle is de eloped based on a se o i ual desi ed
a iables o simpli y he design o he e e ence model
and con ol law. Nex , he acking pe o mance o he
enhanced uzzy sys em is analyzed by he Lyapuno
me hod which can be o mula ed in o LMIs p oblems.
Simula ion es s a e pe o med on a buck con e e o
e i y he con olle ’s e iciency. Finally, he p oposed
con olle is implemen ed on an ATmega328P-based
mic ocon olle o A duino Uno.
The emainde o his pape is composed as ollows:
he Sec. 2. is de o ed o de ails on he ma hema ical
buck con e e model. In he Sec. 3. he p o-
posed uzzy con ol me hod is in oduced. I consis s
o h ee main blocks: The i s pa deals wi h he T-S
uzzy con olle , he second pa is dedica ed o s abil-
i y analysis condi ions and he hi d one deals wi h he
de e mina ion o he desi ed e e ence model and he
nonlinea acking con olle . The esul s o he sim-
ula ion and p ac ical implemen a ion o he p oposed
con olle a e gi en in Sec. 4. and Sec. 5. ollowed
by a conclusion a he end o his wo k.
2. Ma hema ical Buck
Con e e Model
The buck con e e can be ep esen ed by he ollowing
nonlinea s a e space sys em o m:
(˙x( ) = (x( )) + g(x( ))u( ) + η
y( ) = ϕ(x( )) ,(1)
x( ) = iL( )
o( ), η =−VD
L
0,(2)
(x( )) =
=

−1
LRL+RRC
R+RciL( )−R
L(R+RC) o( )
R
C(R+RC)iL( )−1
C(R+RC) o( )
,(3)
g(x( )) = 1
LVin +VD−RMiL( )u( )
0,(4)
ϕ(x( )) = RRC
R+RciL( ) + R
R+Rc o( ),(5)
whe e RMis he esis ance o he ansis o (MOS-
FET), RLis he winding esis ance o he induc o ,
VDis he h eshold ol age o he diode, RCis he
equi alen se ies esis ance o he il e capaci o and
Vin is he inpu ol age. iL, oand u ep esen , e-
spec i ely, he induc ance cu en , he ou pu ol age
and he du y cycle o he buck con e e , as shown in
Fig. 1. I should be men ioned ha he in e nal esis-
Vin
D
RL
L
RC
R
Rm
M
D
L
o
+
-
+
-
+
-
o
iL
C
-
c
Fig. 1: Equi alen ci cui o DC-DC buck con e e .
ance Rm, he diode’s o wa d ol age VD, he equi -
alen se ies esis ance o he il e capaci o RCand
he winding esis ance o induc o RLha e no been
aken in o accoun in many p e ious esea ches, which
can pe u b he con ol o he buck con e e sys em.
Consequen ly, his pape conside s a mo e gene al case.
3. Fuzzy Con ol Design
The goal o his pape is o de elop a uzzy con-
olle ha pe mi s o pilo he s a es o a buck con-
e e x=iL oT o ack a desi ed ajec o y
xd=iLd od T. Fi s ly, we design a uzzy con-
olle based on he T-S uzzy model o a buck con-
e e sys em and hen de elop a i ual e e ence
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model and nonlinea con olle acco ding o he de-
si ed ou pu ol age. Thus, he uzzy acking con ol
scheme shown in Fig. 2 is p oposed.
Nonlinea
T acking
Con olle
TS-Fuzzy
Con olle
Re e ence
Model
+
-
Vin
D
RL
L
RC
R
Rm
M
D
L
o
+
-
+
-
+
-
o
iL
C
-
c
c
iL
e
x
τ
u
T-S uzzy con ol
0
0
Fig. 2: P oposed uzzy con ol scheme.
3.1. T-S Fuzzy Model o Buck
Con e e
The de elopmen o he p oposed T-S uzzy con olle
goes h ough he ans o ma ion o nonlinea model
Eq. (1) in o a uzzy model by using he a iable o
he induc ance cu en iLas decision a iable. The
nonlinea s a e space o buck con e e is gi en by he
ollowing o m:
(˙x( ) = Ax( ) + B(iL)u( ) + E
y( ) = o=Cx( )) ,(6)
whe e:
A="−1
LRL+RRC
R+Rc−R
L(R+RC)
R
C(R+RC)−1
C(R+RC)#,(7)
B(iL) = 1
L(Vin +VD−RMiL( ))
0,(8)
E=−VD
L
0, C =hRRc
R+RC
R
R+RCi.(9)
Assuming ha he p emiss a iable z( ) = iL( )is
bounded as: iL≤iL( )≤iLand using sec o nonlin-
ea i y ans o ma ion [33], he nonlinea sys em Eq. (6)
can be exac ly ep esen ed by a T-S uzzy model using
he ollowing wo I -Then ules:
Rule1: I iLis F11 Then ˙x( ) = A1x( ) + B1u( ) + E1,
Rule2: I iLis F12 Then ˙x( ) = A2x( ) + B2u( ) + E2,
whe e F11 and F12 a e he membe ship unc ions gi en
by:
F11(iL) = iL( )−iL
iL−iL
, F12(iL)=1−F11(iL).(10)
The sub-ma ices a e de ined as:
A1=A2="−1
LRL+RRC
R+Rc−R
L(R+RC)
R
C(R+RC)−1
C(R+RC)#,
(11)
B1=1
LVin +VD−RMiL
0,(12)
B2=1
L(Vin +VD−RMiL)
0,
E1=E2=−VD
L
0.
(13)
The inal ou pu o uzzy model is in e ed as ollows:
˙x( ) =
X
i=1
hi(z( )) (Aix( ) + Biu( ) + E),(14)
whe e hi(z) = ωi(z)/P
i=1 ωi(z),ωi(z) = Qn
j=1 Fij(zj)
o all > 0,hi(z)≥0and P
i=1 hi(z)=1.
3.2. Con ol Design and S abili y
Analysis
The T-S uzzy con ol is necessa y o sa is y he ol-
lowing condi ion:
x( )−xd( )→0as → ∞,(15)
whe e xd( ) ep esen s he desi ed ajec o y a iable.
Le us de ine he acking e o as ˜x( ) = x( )−xd( ).
Then, i s ime de i a i e can be gi en by:
˙
˜x( ) = ˙x( )−˙xd( ).(16)
By subs i u ing Eq. (14) in o Eq. (16) and adding he
e m P
i=1 hi(z)Ai(xd( )−xd( )), Eq. (16) becomes:
˙
˜x( ) =
X
i=1
hi(z) (Ai˜x+Biu+Aixd( ) + Ei)−˙xd.
(17)
In Eq. (17), le us choose a new con ol a iable τ( )
ha sa is ies he ollowing condi ion:
X
i=1
hiBiτ=
X
i=1
hi(z) (Aixd+Biu+E)−˙xd.(18)
By using Eq. (18), he acking e o de i a i e Eq. (17)
can be ew i en as ollows:
˙
˜x( ) =
X
i=1
hi(iL( ))(Ai˜x( ) + Biτ( )).(19)
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The new con olle s a e de eloped o deal wi h he
uzzy acking con ol p oblem as:
Con olle ule 1: I iL( )is F11 Then τ( ) = −K1˜x( ),
Con olle ule 2: I iL( )is F12 Then τ( ) = −K2˜x( ).
The inal uzzy con olle ou pu is gi en by:
τ( ) = −
X
i=1
hi(z( ))Ki˜x( ).(20)
By subs i u ing Eq. (20) in o Eq. (19), he inal closed-
loop sys em akes he ollowing o m:
˙
˜x( ) =
X
i=1
X
j=1
hi(z( ))hj(z( ))(Ai−BiKj)˜x( ).(21)
By le ing Gij = (Ai−BiKj), Eq. (21) can be ew i en
as ollows:
˙
˜x( ) =
X
i=1
X
j=1
hi(z( ))hj(z( ))Gij ˜x( ).(22)
S abili y Analysis. Ob aining he uzzy con olle
consis s in de e mining he gains Kisa is ying he con-
di ions o he ollowing heo em [28] and [29]:
Theo em 1 The con inuous model Eq. (22) is
asymp o ically s able ia he uzzy con olle Eq. (20),
i he e exis s a diagonal ma ix D, ma ices Qij wi h:
Qii =QT
ii and Qji =QT
ij o i6=j, and a common
posi i e de ini e ma ix P > 0such ha :
GT
iiP+PGii +Qii +DPD < 0, i = 1, ..., , (23)
Gij +Gji
2T
P+PGij +Gji
2+Qij ≤0,
i<j≤ , (24)





Q11 Q12 . . . Q1
Q12 Q22 . . . Q2
.
.
.....
.
.
Q1 Q2 . . . Q





≡˜
Q > 0,(25)
o i,j= 1, . . . , , s. . he pai s (i,j)such ha :
hi(z)hj(z)=0,∀ .
The de e mina ion o he uzzy con ol gains equi es
changing he condi ions o he p e ious heo em in o
an equi alen p oblem o linea ma ix inequali ies.
This ans o ma ion co esponds o simple objec i e
changes o a iables X=P−1,Ki=MiX−1and he
use o a cong uence in inequali ies Eq. (23), Eq. (24)
and Eq. (25). Then, he ollowing LMIs can be ob-
ained.
∃X=XT>0,∃Yii =YT
ii ,∃Yij =YT
ji ,∃Mi:
XAT
i+AiX−BiMi−MT
iBT
i+Yii XDT
DX −X<0,
(26)
XAT
i+AiX+XAT
j+AjX−BiMj−MT
jBT
i
−BjMi−MT
iBT
j+ 2Yij ≤0,
i<i≤ , (27)





Y11 Y12 . . . Y1
Y12 Y22 . . . Y2
.
.
.....
.
.
Y1 Y2 . . . Y





≡˜
Y > 0.(28)
3.3. Desi ed Re e ence Model and
Nonlinea Con olle
In o de o de e mine he desi ed e e ence model xd
and nonlinea con olle u( ), we use Eq. (18) which
can be ew i en as ollows:
X
i=1
hiBi(u−τ) = −
X
i=1
hiAixd−
X
i=1
hiE+ ˙xd.(29)
No ing ha :
A=
X
i=1
hiAi, B =
X
i=1
hiBi, E =
X
i=1
hiEi.(30)
Then, Eq. (29) can be ew i en in he ollowing o m:
B(u( )−τ( )) = −Axd( )−E+ ˙xd( ).(31)
Eq. (31) can be ew i en as ollows:
1
L[Vin +VD+RMiL( )]
0(u( )−τ( )) =
=−"1
L[RL+RRC
R+Rc]−R
L(R+RC)
R
C(R+RC)−1
C(R+RC)#iLd
cd +
−−VD
L
0+˙
iLd
˙ cd .(32)
I should be men ioned ha he nonlinea con ol law
and he desi ed e e ence model will be calcula ed ac-
co ding o he desi ed ou pu ol age.
F om he second equa ion o Eq. 32, we ob ain
−R
C(R+RC)x1d+1
C(R+RC)x2d= 0
⇒x1d=x2d
R.(33)
F om he i s equa ion o Eq. 32, we can de i e he
nonlinea con ol law u( ), as ollows:
u( ) = (RL
R+RC
R+RC+R
R+RC)x2d+VD
Vin +VD+RMiL( ).(34)
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0 0.005 0.01 0.015 0.02
0
0.5
1
1.5
2
2.5
3
3.5
Times (s)
Cu en (A)
5 6 7 8 9 10
x 10−3
0.15
0.16
0.17
0.18
iL
iLd
(a) Induc ance cu en .
0 0.005 0.01 0.015 0.02
0
2
4
6
8
Vol age (V)
o
od
Times (s)
(b) Ou pu ol age.
0 0.5 1 1.5 2 2.5 3 3.5
x 10−3
0
0.2
0.4
0.6
0.8
1
Times (s)
PWM Signal
(c) PWM signal.
0 0.005 0.01 0.015 0.02
0
0.2
0.4
0.6
0.8
1
Times (s)
Du y cycle
u( )
5 6 7 8 9 10
x 10−3
0.68
0.69
0.7
(d) Du y a io.
Fig. 3: Simula ion esul s o ol age e e ence od = 8 V.
Time (s)
0 0.02 0.04 0.06 0.08 0.1
Ou pu Vol age (V)
0
1
2
3
4
5
6
7Desi ed Vol age
TS Con olle
PI Con olle
0 0.01 0.02 0.03 0.04
0
1
2
3
4
5
Fig. 4: Compa ison be ween PI and T-S uzzy con olle s.
4. Simula ion Resul s
In o de o e i y he pe o mance o he p oposed
uzzy acking con ol, simula ion es was ca ied ou
on a DC-DC buck con e e . The con olle gains a e
ob ained by sol ing he LMIs Eq. (26), Eq. (27) and
Eq. (28), as ollows:
K1=0.4829 0.1582 ,(35)
K2=0.4537 0.1345 .(36)
The i s simula ion is ca ied ou in ou pu ol -
age e e ence od = 8 V. The esponses o he induc-
Ma lab/Simulink model
Ha dwa e
Communica ion
ia USB po
Fig. 5: Communica ion wi h an A duino boa d using Ma lab
inpu /ou pu package.
Tab. 1: Pe o mances compa ison be ween PI and T-S con-
olle s.
Me hod PI con olle T-S con olle
Rise ime (s) 0.0187 6.6211 ·10−4
Se ling ime (s) 0.0327 0.0012
O e shoo (%) 0.0264 0
ance cu en , ou pu ol age, PWM signal and du y
cycle a e depic ed in Fig. 3(a), Fig. 3(b), Fig. 3(c) and
Fig. 3(d), espec i ely. The esul s indica e ha he
s eady s a es ack he desi ed ajec o ies pe ec ly.
I is also shown ha he ime esponse equi ed o ol-
low he e e ence model is e y sho (0.0012 s). I
can be concluded ha he p oposed T-S uzzy con ol
has a good acking pe o mance. In he second simula-
ion es , he T-S uzzy con olle is compa ed wi h he
base-line PI (P opo ional In eg a o ) con olle due o
i s popula i y. The PI pa ame e s (Kpand Ki) a e cal-
cula ed based on he ollowing buck ans e unc ion
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POWER ENGINEERING AND ELECTRICAL ENGINEERING VOLUME: 17 |NUMBER: 3 |2019 |SEPTEMBER
Induc o
Cu en senso
Vol age
senso
Load
A duino Uno
MOSFET Diode
Capaci o
(a) Ha dwa e se up.
V e
G oup 1
Vol age Re e ence
10/1023
Con e sion
o V e
Real-Time Pace
Speedup = 1
Real-Time Pace
A duino1
Analog Read
Pin 2
Po en iome e
Se up
A duino1
COM12
A duino IO Se up
Sa u a ion
A duino1
Analog W i e
Pin 11
A duino Analog W i e
A duino1
Analog Read
Pin 0
Cu en Senso
V e xd
VDVs
xd
x
iL
Tho
T-S Fuzzy Con olle
xd
iL
Tho
u
Nonlinea Con olle
Manual Swi ch
254
Con e
o PWM
A duino1
Analog Read
Pin 1
Vol age Senso
(b) Simulink model using Ma lab inpu /ou pu package.
Fig. 6: Ha dwa e implemen a ion using A duino Uno and Simulink model.
[36] and [37]:
G(s) = Vo
u=Vin R
R+RL


s
ωZERO
+ 1
Ω(s)

,(37)
whe e
Ω(s) = s2
ω2
0
+s
Qω0
+ 1,(38)
ω0=1
LC R+Rc
R+RL
, ωZERO =1
CRc
,(39)
Q=1
ω0L
R+RL
+RRLC
R+RL
+RcC.(40)
The PI pa ame e s (Kpand Ki) a e ob ained by us-
ing he known compensa ion me hod, as ollows:
Kp= 0.195, Ki= 9.88.(41)
The esponse o he ou pu ol age o od = 5 V ise
ime, he se ling ime and he o e shoo o he wo
me hods.
F om Fig. 4 and Tab. 1, i can be con i med ha
he T-S con olle o e s supe io pe o mance and as
dynamic esponse in e ms o apidi y and limi a ion
o o e shoo .
5. Expe imen al Ve i ica ion
To e i y he simula ion esul s, a special package
known as inpu /ou pu (I/O) suppo package is used
wi h Ma lab en i onmen , which has been designed by
Ma hWo ks o mic ocon olle -based A duino boa d
10/1023
Con e sion
o V e
Sa u a ion
V e xd
VDVs
xd
x
iL
Tho
T-S Fuzzy Con olle
xd
iL
Tho
u
Nonlinea Con olle
254
Con e
o PWM
Pin 2
ARDUINO
Po en iome e
Pin 5
ARDUINO
PWM
Pin 0
ARDUINO
Cu en Senso
Pin 1
ARDUINO
Vol age Senso
Fig. 7: Simulink model using Ma lab suppo package.
o in e ace he Ma lab/ Simulink wi h he ha dwa e
se up wi hou any p og amming language [34]. This
package is p ima ily used o eal- ime communica-
ion be ween A duino boa d and Simulink, as shown
in Fig. 5. The ha dwa e consis s o a buck con e e ,
an A duino Uno, a ol age senso and a cu en senso .
The ha dwa e and Simulink model used in his imple-
men a ion s age a e shown in Fig. 6(a) and Fig. 6(b),
espec i ely. No e ha he pa ame e s gi en in Ap-
pendix A a e conside ed o he de elopmen o a buck
con e e p o o ype.
The expe imen is conduc ed wi h a mul i-s ep ol -
age e e ence. The expe imen al wa e o m and sim-
ula ion esponse o ou pu ol age a e illus a ed in
Fig. 8(a) and Fig. 8(b). I is ob ious ha he ob ained
esul s in bo h he simula ion and he implemen a ion
a e in good ag eemen .
A e he p e ious e i ica ion and alida ion o he
simula ion esul s, he p oposed sys em should be c e-
a ed as a s andalone p ojec ha does no need o be
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2019 ADVANCES IN ELECTRICAL AND ELECTRONIC ENGINEERING 239
POWER ENGINEERING AND ELECTRICAL ENGINEERING VOLUME: 17 |NUMBER: 3 |2019 |SEPTEMBER
0 5 10 15 20 25 30 35 40
0
1
2
3
4
5
6
7
8
Time (s)
Vol age (V)
od
o
(a) Simula ion esul s o ou pu ol age. (b) Expe imen al wa e o m o ou pu ol age.
Fig. 8: Simula ion and expe imen al esul s o mul i-s ep ol age e e ence.
connec ed o he Simulink (hos compu e ) [35]. In his
espec , i is necessa y o deploy he p oposed acking
con ol algo i hm o he A duino boa d. To achie e
his, an A duino suppo package is used, as shown in
Fig. 7. The expe imen al wa e o ms o he ou pu ol -
age and he du y cycle o a e e ence ol age od = 5 V
a e shown in Fig. 9.
These p ac ical esul s demons a e ha buck con-
e e can be con olled by he p oposed me hod o
low exac ly he desi ed ou pu ol age.
Fig. 9: Expe imen al esul s o desi ed ol age od = 5 V.
6. Conclusion
A T-S uzzy acking con olle is p oposed o a DC-
DC buck con e e which is able o pilo he sys em
o ollow a desi ed e e ence model. The con olle
gains a e ob ained based on su icien condi ions o -
mula ed in o LMIs o m and sol ed using op imiza ion
ools. Expe imen al and simula ion esul s show ha
he buck con e e can be con olled e ec i ely a di -
e en ope a ing egions by he p oposed me hod and
can o e come he limi a ions o classical con olle s.
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Abou Au ho s
Dhaouadi GUIZA was bo n in Tebessa, Alge ia.
He ecei ed a B.Sc. deg ee in Elec onics om
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2019 ADVANCES IN ELECTRICAL AND ELECTRONIC ENGINEERING 242