메뉴 건너뛰기




Volumn 78, Issue 1, 2014, Pages 433-447

A projective synchronization scheme based on fuzzy adaptive control for unknown multivariable chaotic systems

Author keywords

Adaptive control; Fuzzy systems; Multivariable chaotic systems; Projective synchronization

Indexed keywords

CHAOTIC SYSTEMS; CLOSED LOOP SYSTEMS; CONTROLLERS; FUZZY LOGIC; FUZZY SYSTEMS; SYNCHRONIZATION;

EID: 84919877688     PISSN: 0924090X     EISSN: 1573269X     Source Type: Journal    
DOI: 10.1007/s11071-014-1450-x     Document Type: Article
Times cited : (50)

References (50)
  • 2
    • 33847651029 scopus 로고    scopus 로고
    • Observer-based adaptive feedback controller of a class of chaotic systems
    • Boulkroune, A., Chekireb, H., Tadjine, M., Bouatmane, S.: Observer-based adaptive feedback controller of a class of chaotic systems. Int. J. Bifurcat. Chaos. 16, 189–196 (2006)
    • (2006) Int. J. Bifurcat. Chaos. , vol.16 , pp. 189-196
    • Boulkroune, A.1    Chekireb, H.2    Tadjine, M.3    Bouatmane, S.4
  • 3
    • 34250218613 scopus 로고    scopus 로고
    • An adaptive feedback controller with observer for linearizable chaotic systems
    • Boulkroune, A., Chekireb, H., Tadjine, M., Bouatmane, S.: An adaptive feedback controller with observer for linearizable chaotic systems. Control Intell. Syst. 35, 1–8 (2007)
    • (2007) Control Intell. Syst. , vol.35 , pp. 1-8
    • Boulkroune, A.1    Chekireb, H.2    Tadjine, M.3    Bouatmane, S.4
  • 4
    • 80052038759 scopus 로고    scopus 로고
    • A fuzzy adaptive variable-structure control scheme for uncertain chaotic MIMO systems with sector nonlinearities and dead-zones
    • Boulkroune, A., M’saad, M.: A fuzzy adaptive variable-structure control scheme for uncertain chaotic MIMO systems with sector nonlinearities and dead-zones. Expert Syst. Appl. 38, 14744–14750 (2011)
    • (2011) Expert Syst. Appl. , vol.38 , pp. 14744-14750
    • Boulkroune, A.1    M’saad, M.2
  • 5
    • 0343689904 scopus 로고
    • Synchronization in chaotic systems
    • Pecora, L.M., Carroll, T.L.: Synchronization in chaotic systems. Phys. Rev. Lett. 64, 821–824 (1990)
    • (1990) Phys. Rev. Lett. , vol.64 , pp. 821-824
    • Pecora, L.M.1    Carroll, T.L.2
  • 6
    • 33646081285 scopus 로고    scopus 로고
    • Chaos synchronization and duration time of a class of uncertain systems
    • Bowonga, S., Kakmenib, M., Koinac, R.: Chaos synchronization and duration time of a class of uncertain systems. Math. Comput. Simulat. 71, 212–228 (2006)
    • (2006) Math. Comput. Simulat. , vol.71 , pp. 212-228
    • Bowonga, S.1    Kakmenib, M.2    Koinac, R.3
  • 7
    • 0001230754 scopus 로고    scopus 로고
    • Transforming signals with chaotic synchronization
    • Carroll, T.L., Heagy, J.F., Pecora, L.M.: Transforming signals with chaotic synchronization. Phys. Rev. E 54, 4676–4680 (1996)
    • (1996) Phys. Rev. E , vol.54 , pp. 4676-4680
    • Carroll, T.L.1    Heagy, J.F.2    Pecora, L.M.3
  • 8
    • 3142734421 scopus 로고    scopus 로고
    • Impulsive control and synchronization of Chua’s oscillators
    • Sun, J., Zhang, Y.: Impulsive control and synchronization of Chua’s oscillators. Math. Comput. Simulat. 66, 499–508 (2004)
    • (2004) Math. Comput. Simulat. , vol.66 , pp. 499-508
    • Sun, J.1    Zhang, Y.2
  • 9
    • 17444382843 scopus 로고    scopus 로고
    • Phase synchronization of chaotic oscillators by external driving
    • Pikovsky, A.S., Rosenblum, M.G., Osipov, G.V., Kurths, J.: Phase synchronization of chaotic oscillators by external driving. Physica D 104, 219–238 (1997)
    • (1997) Physica D , vol.104 , pp. 219-238
    • Pikovsky, A.S.1    Rosenblum, M.G.2    Osipov, G.V.3    Kurths, J.4
  • 10
  • 11
    • 23944441823 scopus 로고    scopus 로고
    • An adaptive lag-synchronization method for time-delay chaotic systems
    • Cailian, C., Gang, F., Xinping, G.: An adaptive lag-synchronization method for time-delay chaotic systems. In: American Control Conference, pp. 4277–4282 (2005)
    • (2005) American Control Conference , pp. 4277-4282
    • Cailian, C.1    Gang, F.2    Xinping, G.3
  • 12
    • 0001737374 scopus 로고    scopus 로고
    • Observer-based synchronization of chaotic systems
    • Morgul, O., Solak, E.: Observer-based synchronization of chaotic systems. Phys. Rev. E 54, 4803–4811 (1996)
    • (1996) Phys. Rev. E , vol.54 , pp. 4803-4811
    • Morgul, O.1    Solak, E.2
  • 13
    • 0040097760 scopus 로고    scopus 로고
    • On the synchronization of chaotic systems by using state observers
    • Morgul, O., Solak, E.: On the synchronization of chaotic systems by using state observers. Int. J. Bifurcat. Chaos 7, 1307–1322 (1997)
    • (1997) Int. J. Bifurcat. Chaos , vol.7 , pp. 1307-1322
    • Morgul, O.1    Solak, E.2
  • 14
    • 19144369483 scopus 로고    scopus 로고
    • Generalized projective synchronization of a unified chaotic system
    • Jianping, Y., Changpin, L.: Generalized projective synchronization of a unified chaotic system. Chaos Solitons Fractals 26, 1119–1124 (2005)
    • (2005) Chaos Solitons Fractals , vol.26 , pp. 1119-1124
    • Jianping, Y.1    Changpin, L.2
  • 15
    • 31444448613 scopus 로고    scopus 로고
    • Projective synchronization of chaotic system using backstepping control
    • Li, G.: Projective synchronization of chaotic system using backstepping control. Chaos Solitons Fractals 29, 490–598 (2006)
    • (2006) Chaos Solitons Fractals , vol.29 , pp. 490-598
    • Li, G.1
  • 16
    • 1842832061 scopus 로고    scopus 로고
    • A secure communication scheme using projective chaos synchronization
    • Li, Z., Xu, D.: A secure communication scheme using projective chaos synchronization. Chaos Solitons Fractals 22, 477–484 (2004)
    • (2004) Chaos Solitons Fractals , vol.22 , pp. 477-484
    • Li, Z.1    Xu, D.2
  • 17
    • 67651205459 scopus 로고    scopus 로고
    • Synchronization of the unified chaotic systems using a sliding mode controller
    • Zribi, M., Smaoui, N., Salim, H.: Synchronization of the unified chaotic systems using a sliding mode controller. Chaos Solitons Fractals 42, 3197–3209 (2009)
    • (2009) Chaos Solitons Fractals , vol.42 , pp. 3197-3209
    • Zribi, M.1    Smaoui, N.2    Salim, H.3
  • 19
    • 77955415520 scopus 로고    scopus 로고
    • Adaptive sliding mode control of chaotic dynamical systems with application to synchronization
    • Dadras, S., Momeni, H.R.: Adaptive sliding mode control of chaotic dynamical systems with application to synchronization. Math. Comput. Simul. 80, 2245–2257 (2010)
    • (2010) Math. Comput. Simul. , vol.80 , pp. 2245-2257
    • Dadras, S.1    Momeni, H.R.2
  • 21
    • 34548657207 scopus 로고    scopus 로고
    • Synchronization control of cross-strict feedback hyperchaotic system based on cross active backstepping design
    • Wang, J., Gao, J., Ma, X.: Synchronization control of cross-strict feedback hyperchaotic system based on cross active backstepping design. Phys. Lett. A 369, 452–457 (2007)
    • (2007) Phys. Lett. A , vol.369 , pp. 452-457
    • Wang, J.1    Gao, J.2    Ma, X.3
  • 22
    • 33846336362 scopus 로고    scopus 로고
    • Adaptive control and synchronization of a new hyperchaotic system with unknown parameters
    • Jia, Q.: Adaptive control and synchronization of a new hyperchaotic system with unknown parameters. Phys. Lett. A 362, 424–429 (2007)
    • (2007) Phys. Lett. A , vol.362 , pp. 424-429
    • Jia, Q.1
  • 23
    • 41849141224 scopus 로고    scopus 로고
    • Adaptive control of chaotic systems with stochastic time varying unknown parameters
    • Salarieh, H., Alasty, A.: Adaptive control of chaotic systems with stochastic time varying unknown parameters. Chaos Solitons Fractals 38, 168–177 (2008)
    • (2008) Chaos Solitons Fractals , vol.38 , pp. 168-177
    • Salarieh, H.1    Alasty, A.2
  • 24
    • 39549105622 scopus 로고    scopus 로고
    • Chaos synchronization of different chaotic systems subjected to input nonlinearity
    • Yau, H.T., Yan, J.J.: Chaos synchronization of different chaotic systems subjected to input nonlinearity. Appl. Math. Comput. 197, 775–788 (2008)
    • (2008) Appl. Math. Comput. , vol.197 , pp. 775-788
    • Yau, H.T.1    Yan, J.J.2
  • 25
    • 70349852374 scopus 로고    scopus 로고
    • Adaptive added-order anti-synchronization of chaotic systems with fully unknown parameters
    • Shi, X.R., Wang, Z.L.: Adaptive added-order anti-synchronization of chaotic systems with fully unknown parameters. Appl. Math. Comput. 215, 1711–1717 (2009)
    • (2009) Appl. Math. Comput. , vol.215 , pp. 1711-1717
    • Shi, X.R.1    Wang, Z.L.2
  • 26
    • 34247144929 scopus 로고    scopus 로고
    • Adaptive control and synchronization of the perturbed Chua’s circuit system
    • Botmart, T., Niamsup, P.: Adaptive control and synchronization of the perturbed Chua’s circuit system. Math. Comp. Simul. 75, 37–55 (2007)
    • (2007) Math. Comp. Simul. , vol.75 , pp. 37-55
    • Botmart, T.1    Niamsup, P.2
  • 27
    • 84870987726 scopus 로고    scopus 로고
    • Synchronization between integer-order chaotic systems and a class of fractional-order chaotic system based on fuzzy sliding mode control
    • Chen, D., Zhang, R., Sprott, J.C., Ma, X.: Synchronization between integer-order chaotic systems and a class of fractional-order chaotic system based on fuzzy sliding mode control. Nonlinear Dyn. 70, 1549–1561 (2012)
    • (2012) Nonlinear Dyn. , vol.70 , pp. 1549-1561
    • Chen, D.1    Zhang, R.2    Sprott, J.C.3    Ma, X.4
  • 28
    • 84880916803 scopus 로고    scopus 로고
    • Application of Takagi-Sugeno fuzzy model to a class of chaotic synchronization and anti-synchronization
    • Chen, D., Zhao, W., Sprott, J.C., Ma, X.: Application of Takagi-Sugeno fuzzy model to a class of chaotic synchronization and anti-synchronization. Nonlinear Dyn. 73, 1495–1505 (2013)
    • (2013) Nonlinear Dyn. , vol.73 , pp. 1495-1505
    • Chen, D.1    Zhao, W.2    Sprott, J.C.3    Ma, X.4
  • 29
    • 83555174846 scopus 로고    scopus 로고
    • Fault tolerant synchronization of chaotic heavy symmetric gyroscope systems versus external disturbances via Lyapunov rule-based fuzzy control
    • Farivar, F., Shoorehdeli, M.A.: Fault tolerant synchronization of chaotic heavy symmetric gyroscope systems versus external disturbances via Lyapunov rule-based fuzzy control. ISA Trans. 51, 50–64 (2012)
    • (2012) ISA Trans. , vol.51 , pp. 50-64
    • Farivar, F.1    Shoorehdeli, M.A.2
  • 30
    • 80053036184 scopus 로고    scopus 로고
    • Adaptive fuzzy sliding mode control for synchronization of uncertain fractional order chaotic systems
    • Lin, T.-C., Lee, T.-Y., Balas, V.E.: Adaptive fuzzy sliding mode control for synchronization of uncertain fractional order chaotic systems. Chaos Solitons Fractals 44, 791–801 (2011)
    • (2011) Chaos Solitons Fractals , vol.44 , pp. 791-801
    • Lin, T.-C.1    Lee, T.-Y.2    Balas, V.E.3
  • 31
    • 67349251619 scopus 로고    scopus 로고
    • Robust adaptive fuzzy control of unknown chaotic systems
    • Poursamad, A., Davaie-Markazi, A.H.: Robust adaptive fuzzy control of unknown chaotic systems. Appl. Soft Comput. 9, 970–976 (2009)
    • (2009) Appl. Soft Comput. , vol.9 , pp. 970-976
    • Poursamad, A.1    Davaie-Markazi, A.H.2
  • 32
    • 54749113313 scopus 로고    scopus 로고
    • Synchronization of two different chaotic systems using novel adaptive fuzzy sliding mode control
    • Roopaei, M., Jahromi, M.Z.: Synchronization of two different chaotic systems using novel adaptive fuzzy sliding mode control. Chaos 18, 033133 (2008)
    • (2008) Chaos , vol.18 , pp. 033133
    • Roopaei, M.1    Jahromi, M.Z.2
  • 33
    • 60649098541 scopus 로고    scopus 로고
    • Robust adaptive neural-fuzzy-network control for the synchronization of uncertain chaotic systems
    • Chen, C., Chen, H.: Robust adaptive neural-fuzzy-network control for the synchronization of uncertain chaotic systems. Nonlinear Anal.: Real World Appl. 10, 1466–1479 (2009)
    • (2009) Nonlinear Anal.: Real World Appl. , vol.10 , pp. 1466-1479
    • Chen, C.1    Chen, H.2
  • 34
    • 64649095352 scopus 로고    scopus 로고
    • Fuzzy model based adaptive synchronization of uncertain chaotic systems: robust tracking control approach
    • Hwang, E., Hyun, C., Kim, E., Park, M.: Fuzzy model based adaptive synchronization of uncertain chaotic systems: robust tracking control approach. Phys. Lett. A 373, 1935–1939 (2009)
    • (2009) Phys. Lett. A , vol.373 , pp. 1935-1939
    • Hwang, E.1    Hyun, C.2    Kim, E.3    Park, M.4
  • 35
    • 64049091656 scopus 로고    scopus 로고
    • Synchronization of Ghostbusters neuron in external electrical stimulation via $$\text{ H }\infty $$H∞ variable universe fuzzy adaptive control
    • Wang, J., Chen, L., Deng, B.: Synchronization of Ghostbusters neuron in external electrical stimulation via $$\text{ H }\infty $$H∞ variable universe fuzzy adaptive control. Chaos Solitons Fractals 39, 2076–2085 (2009)
    • (2009) Chaos Solitons Fractals , vol.39 , pp. 2076-2085
    • Wang, J.1    Chen, L.2    Deng, B.3
  • 36
    • 82155203467 scopus 로고    scopus 로고
    • Synchronization of two different chaotic systems using novel adaptive interval type-2 fuzzy sliding mode control
    • Roopaei, M., Jahromi, M.Z., Ranjbar-Sahraei, B., Lin, T.-C.: Synchronization of two different chaotic systems using novel adaptive interval type-2 fuzzy sliding mode control. Nonlinear Dyn. 66, 667–680 (2011)
    • (2011) Nonlinear Dyn , vol.66 , pp. 667-680
    • Roopaei, M.1    Jahromi, M.Z.2    Ranjbar-Sahraei, B.3    Lin, T.-C.4
  • 37
    • 84863986123 scopus 로고    scopus 로고
    • Adaptive fuzzy synchronization for a class of chaotic systems with unknown nonlinearities and disturbances
    • Wang, Y., Fan, Y., Wang, Q., Zhang, Y.: Adaptive fuzzy synchronization for a class of chaotic systems with unknown nonlinearities and disturbances. Nonlinear Dyn. 69, 1167–1176 (2012)
    • (2012) Nonlinear Dyn. , vol.69 , pp. 1167-1176
    • Wang, Y.1    Fan, Y.2    Wang, Q.3    Zhang, Y.4
  • 39
    • 77955918760 scopus 로고    scopus 로고
    • Adaptive fuzzy control for a class of chaotic systems with nonaffine inputs
    • Wen, J., Jiang, C.-S.: Adaptive fuzzy control for a class of chaotic systems with nonaffine inputs. Commun. Nonlinear Sci. Numer. Simulat. 16, 475–492 (2011)
    • (2011) Commun. Nonlinear Sci. Numer. Simulat , vol.16 , pp. 475-492
    • Wen, J.1    Jiang, C.-S.2
  • 40
    • 0033893933 scopus 로고    scopus 로고
    • Stable adaptive control for a class of nonlinear systems using a modified Lyapunov function
    • Zhang, T., Zhang, S.S., Hang, C.C.: Stable adaptive control for a class of nonlinear systems using a modified Lyapunov function. IEEE Trans. Autom. Control 45, 129–132 (2000)
    • (2000) IEEE Trans. Autom. Control , vol.45 , pp. 129-132
    • Zhang, T.1    Zhang, S.S.2    Hang, C.C.3
  • 41
    • 34047207451 scopus 로고    scopus 로고
    • Adaptive Output Feedback Control for a Class of MIMO Nonlinear Systems. In American Control Conference, Minneapolis
    • Chen, J., Behal, A., Dawson, D.M.: Adaptive Output Feedback Control for a Class of MIMO Nonlinear Systems. In American Control Conference, Minneapolis, MN, pp. 5300–5305, (2006)
    • (2006) MN , pp. 5300-5305
    • Chen, J.1    Behal, A.2    Dawson, D.M.3
  • 42
    • 84862192278 scopus 로고    scopus 로고
    • Adaptive fuzzy tracking control for a class of MIMO nonaffine uncertain systems
    • Boulkroune, A., M’saad, M., Farza, M.: Adaptive fuzzy tracking control for a class of MIMO nonaffine uncertain systems. Neurocomputing 93, 48–55 (2012)
    • (2012) Neurocomputing , vol.93 , pp. 48-55
    • Boulkroune, A.1    M’saad, M.2    Farza, M.3
  • 43
    • 84878405570 scopus 로고    scopus 로고
    • Fuzzy approximation-based indirect adaptive controller for multi-input multi-output non-affine systems with unknown control direction
    • Boulkroune, A., M’saad, M., Farza, M.: Fuzzy approximation-based indirect adaptive controller for multi-input multi-output non-affine systems with unknown control direction. IET Control Theory Appl. 17, 2619–2629 (2012)
    • (2012) IET Control Theory Appl. , vol.17 , pp. 2619-2629
    • Boulkroune, A.1    M’saad, M.2    Farza, M.3
  • 44
    • 77957682022 scopus 로고    scopus 로고
    • Design of a fuzzy adaptive controller for MIMO nonlinear time-delay systems with unknown actuator nonlinearities and unknown control direction
    • Boulkroune, A., M’saad, M., Chekireb, H.: Design of a fuzzy adaptive controller for MIMO nonlinear time-delay systems with unknown actuator nonlinearities and unknown control direction. Inf. Sci. 180, 5041–5059 (2010)
    • (2010) Inf. Sci , vol.180 , pp. 5041-5059
    • Boulkroune, A.1    M’saad, M.2    Chekireb, H.3
  • 45
    • 39649106907 scopus 로고    scopus 로고
    • How to design a fuzzy adaptive control based on observers for uncertain affine nonlinear systems
    • Boulkroune, A., Tadjine, M., M’saad, M., Farza, M.: How to design a fuzzy adaptive control based on observers for uncertain affine nonlinear systems. Fuzzy Sets Syst. 159, 926–948 (2008)
    • (2008) Fuzzy Sets Syst. , vol.159 , pp. 926-948
    • Boulkroune, A.1    Tadjine, M.2    M’saad, M.3    Farza, M.4
  • 46
    • 84861759722 scopus 로고    scopus 로고
    • On the design of observer-based fuzzy adaptive controller for nonlinear systems with unknown control gain sign
    • Boulkroune, A., M’saad, M.: On the design of observer-based fuzzy adaptive controller for nonlinear systems with unknown control gain sign. Fuzzy Sets Syst. 201, 71–85 (2012)
    • (2012) Fuzzy Sets Syst. , vol.201 , pp. 71-85
    • Boulkroune, A.1    M’saad, M.2
  • 47
    • 77957899562 scopus 로고    scopus 로고
    • Indirect adaptive fuzzy control for a class of nonaffine nonlinear systems with unknown control directions
    • Labiod, S., Guerra, T.M.: Indirect adaptive fuzzy control for a class of nonaffine nonlinear systems with unknown control directions. Int. J. Control Autom. Syst. 8, 903–907 (2010)
    • (2010) Int. J. Control Autom. Syst. , vol.8 , pp. 903-907
    • Labiod, S.1    Guerra, T.M.2
  • 48
    • 0030106561 scopus 로고    scopus 로고
    • A robust adaptive nonlinear control design
    • Polycarpou, M.M., Ioannou, P.A.: A robust adaptive nonlinear control design. Automatica 32, 423–427 (1996)
    • (1996) Automatica , vol.32 , pp. 423-427
    • Polycarpou, M.M.1    Ioannou, P.A.2
  • 49
    • 84858311194 scopus 로고    scopus 로고
    • Design of an adaptive finite-time controller for synchronization of two identical/different non-autonomous chaotic flywheel governor systems
    • Aghababa, M.P.: Design of an adaptive finite-time controller for synchronization of two identical/different non-autonomous chaotic flywheel governor systems. Chin. Phys. B 21, 030502 (2012)
    • (2012) Chin. Phys. B , vol.21 , pp. 030502
    • Aghababa, M.P.1
  • 50
    • 84919877874 scopus 로고    scopus 로고
    • Robust synchronization for a chaotic mechanical system ith nonlinearities in control inputs
    • Aghababa, M.P., Aghababa, H.P.: Robust synchronization for a chaotic mechanical system ith nonlinearities in control inputs. Nonlinear Dyn. 69, 1167–1176 (2012)
    • (2012) Nonlinear Dyn. , vol.69 , pp. 1167-1176
    • Aghababa, M.P.1    Aghababa, H.P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.