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Volumn 19, Issue 3, 2011, Pages 514-526

Distributed fuzzy control design of nonlinear hyperbolic pde systems with application to nonisothermal plug-flow reactor

Author keywords

Distributed parameter systems; exponential stability; fuzzy control; linear matrix inequalities (LMIs); TakagiSugeno (TS) fuzzy model

Indexed keywords

BACKWARD DIFFERENCE; CLOSED-LOOP; CONTROL ACTUATORS; DECAY RATE; DESIGN METHODOLOGY; DISTRIBUTED FUZZY CONTROL; DISTRIBUTED PARAMETER SYSTEMS; EXPONENTIAL STABILITY; FINITE DIFFERENCE APPROXIMATIONS; FIRST-ORDER; FUZZY CONTROL DESIGNS; HYPERBOLIC PARTIAL DIFFERENTIAL EQUATION; HYPERBOLIC PDES; LINEAR MATRIX; LMI OPTIMIZATION; LYAPUNOV TECHNIQUES; NONISOTHERMAL; NONLINEAR DISTRIBUTED PARAMETER SYSTEM; PLUG FLOW REACTOR; RECURSIVE ALGORITHMS; SPATIAL DERIVATIVES; STABILITY CONDITION; T-S FUZZY; TAKAGI-SUGENO; TAKAGI-SUGENO FUZZY MODELS;

EID: 79957997050     PISSN: 10636706     EISSN: None     Source Type: Journal    
DOI: 10.1109/TFUZZ.2011.2116028     Document Type: Article
Times cited : (84)

References (44)
  • 5
    • 0018444414 scopus 로고
    • Feedback control of linear diffusion processes
    • M. J. Balas, "Feedback control of linear diffusion processes," Int. J. Control, vol. 29, no. 3, pp. 523-534, 1979.
    • (1979) Int. J. Control , vol.29 , Issue.3 , pp. 523-534
    • Balas, M.J.1
  • 6
    • 0020088061 scopus 로고
    • Finite-dimensional compensator design for parabolic distributed systems with point sensors and boundary input
    • Feb.
    • R. F. Curtain, "Finite-dimensional compensator design for parabolic distributed systems with point sensors and boundary input," IEEE Trans. Autom. Control, vol. AC-27, no. 1, pp. 98-104, Feb. 1982.
    • (1982) IEEE Trans. Autom. Control , vol.AC-27 , Issue.1 , pp. 98-104
    • Curtain, R.F.1
  • 7
    • 0031366767 scopus 로고    scopus 로고
    • Finite-dimensional control of parabolic PDE systems using approximate inertial manifolds
    • DOI 10.1006/jmaa.1997.5649, PII S0022247X97956493
    • P. D. Christofides and P. Daoutidis, "Finite-dimensional control of parabolic PDE systems using approximate inertial manifolds," J. Math. Anal. Appl., vol. 216, no. 2, pp. 398-420, 1997. (Pubitemid 127170520)
    • (1997) Journal of Mathematical Analysis and Applications , vol.216 , Issue.2 , pp. 398-420
    • Christofides, P.D.1    Daoutidis, P.2
  • 8
    • 0034689117 scopus 로고    scopus 로고
    • Finite-dimensional approximation and control of non-linear parabolic PDE systems
    • DOI 10.1080/002071700219614
    • J. Baker and P. D. Christofides, "Finite-dimensional approximation and control of nonlinear parabolic PDE systems," Int. J. Control, vol. 73, no. 5, pp. 439-456, 2000. (Pubitemid 35395437)
    • (2000) International Journal of Control , vol.73 , Issue.5 , pp. 439-456
    • Baker, J.1    Christofides, P.D.2
  • 9
    • 0035976948 scopus 로고    scopus 로고
    • Low-order control-relevant models for a class of distributed parameter systems
    • DOI 10.1016/S0009-2509(01)00357-8, PII S0009250901003578
    • K. A. Hoo and D. Zheng, "Low-order control-relevant models for a class of distributed parameter systems," Chem. Eng. Sci., vol. 56, no. 23, pp. 6683-6710, 2001. (Pubitemid 34010529)
    • (2001) Chemical Engineering Science , vol.56 , Issue.23 , pp. 6683-6710
    • Hoo, K.A.1    Zheng, D.2
  • 10
    • 35148813409 scopus 로고    scopus 로고
    • Finite-dimensional constrained fuzzy control for a class of nonlinear distributed process systems
    • DOI 10.1109/TSMCB.2007.904026, Special Issue on Recent Advances in Biometric Systems
    • H.-N. Wu and H.-X. Li, "Finite-dimensional constrained fuzzy control of a class of nonlinear distributed process systems," IEEE Trans. Syst.,Man, Cybern., B, vol. 37, no. 5, pp. 1422-1430, Oct. 2007. (Pubitemid 47534606)
    • (2007) IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics , vol.37 , Issue.5 , pp. 1422-1430
    • Wu, H.-N.1    Li, H.-X.2
  • 11
    • 42549125588 scopus 로고    scopus 로고
    • H∞ fuzzy observer-based control for a class of nonlinear distributed parameter systems with control constraints
    • DOI 10.1109/TFUZZ.2007.896351
    • H.-N. Wu and H.-X. Li, "H∞ fuzzy observer-based control for a class of nonlinear distributed parameter systems with control constraints," IEEE Trans. Fuzzy Syst., vol. 16, no. 2, pp. 502-516, Apr. 2008. (Pubitemid 351586048)
    • (2008) IEEE Transactions on Fuzzy Systems , vol.16 , Issue.2 , pp. 502-516
    • Wu, H.-N.1    Li, H.-X.2
  • 12
    • 70350068894 scopus 로고    scopus 로고
    • Fuzzy state-space modeling and robust observer-based control design for nonlinear partial differential systems
    • Oct.
    • B.-S. Chen and Y.-T. Chang, "Fuzzy state-space modeling and robust observer-based control design for nonlinear partial differential systems," IEEE Trans. Fuzzy Syst., vol. 17, no. 5, pp. 1025-1043, Oct. 2009.
    • (2009) IEEE Trans. Fuzzy Syst. , vol.17 , Issue.5 , pp. 1025-1043
    • Chen, B.-S.1    Chang, Y.-T.2
  • 13
    • 26244437005 scopus 로고    scopus 로고
    • Spectral-approximation-based intelligent modeling for distributed thermal processes
    • DOI 10.1109/TCST.2005.847329
    • H. Deng, H.-X. Li, and G. Chen, "Spectral approximation based intelligent modeling for a distributed thermal process," IEEE Trans. Control Syst. Technol., vol. 13, no. 5, pp. 686-700, Sept. 2005. (Pubitemid 41410771)
    • (2005) IEEE Transactions on Control Systems Technology , vol.13 , Issue.5 , pp. 686-700
    • Deng, H.1    Li, H.-X.2    Chen, G.3
  • 14
    • 70350343152 scopus 로고    scopus 로고
    • Adaptive neural control design for nonlinear distributed parameter systems with persistent bounded disturbances
    • Oct.
    • H.-N.Wu and H.-X. Li, "Adaptive neural control design for nonlinear distributed parameter systems with persistent bounded disturbances," IEEE Trans. Neural Netw., vol. 20, no. 10, pp. 1630-1644, Oct. 2009.
    • (2009) IEEE Trans. Neural Netw. , vol.20 , Issue.10 , pp. 1630-1644
    • Wu, H.-N.1    Li, H.-X.2
  • 15
    • 34547112281 scopus 로고    scopus 로고
    • Optimal LQ-feedback regulation of a nonisothermal plug flow reactor model by spectral factorization
    • DOI 10.1109/TAC.2007.900823
    • I. Aksikas, J. J. Winkin, and D. Dochain, "Optimal LQ-feedback regulation of a nonisothermal plug flow reactor model by spectral factorization," IEEE Trans. Autom. Control, vol. 52, no. 7, pp. 1179-1193, Jul. 2007. (Pubitemid 47098931)
    • (2007) IEEE Transactions on Automatic Control , vol.52 , Issue.7 , pp. 1179-1193
    • Aksikas, I.1    Winkin, J.J.2    Dochain, D.3
  • 16
    • 67349210077 scopus 로고    scopus 로고
    • LQ control design of a class of hyperbolic PDE systems: Application to fixed-bed reactor
    • I. Aksikas, A. Fusman, J. F. Forbes, and J. J.Winkin, "LQ control design of a class of hyperbolic PDE systems: Application to fixed-bed reactor," Automatica, vol. 45, no. 6, pp. 1542-1548, 2009.
    • (2009) Automatica , vol.45 , Issue.6 , pp. 1542-1548
    • Aksikas, I.1    Fusman, A.2    Forbes, J.F.3    Winkin, J.J.4
  • 17
    • 0024718611 scopus 로고
    • Distributed sliding mode control in systems described by quasilinear partial differential equations
    • DOI 10.1016/0167-6911(89)90036-4
    • H. Sira-Ramirez, "Distributed sliding mode control in systems described by quasilinear partial differential equations," Syst. Control Lett., vol. 13, no. 2, pp. 177-181, 1989. (Pubitemid 20721277)
    • (1989) Systems and Control Letters , vol.13 , Issue.2 , pp. 177-181
    • Sira-Ramirez Hebertt1
  • 18
    • 0029256016 scopus 로고
    • Sliding mode control of nonlinear distributed parameter chemical processes
    • E. M. Hanczyc and A. Palazoglu, "Sliding mode control of nonlinear distributed parameter chemical processes," Ind. Eng. Chem. Res., vol. 34, no. 2, pp. 557-566, 1995.
    • (1995) Ind. Eng. Chem. Res. , vol.34 , Issue.2 , pp. 557-566
    • Hanczyc, E.M.1    Palazoglu, A.2
  • 19
    • 0030287767 scopus 로고    scopus 로고
    • Feedback control of hyperbolic PDE systems
    • P. D. Christofides and P. Daoutidis, "Feedback control of hyperbolic PDE systems," AIChE J., vol. 42, no. 11, pp. 3063-3086, 1996.
    • (1996) AIChE J. , vol.42 , Issue.11 , pp. 3063-3086
    • Christofides, P.D.1    Daoutidis, P.2
  • 20
    • 0037104863 scopus 로고    scopus 로고
    • Control of hot spots in plug flow reactors
    • DOI 10.1016/S0098-1354(02)00027-3, PII S0098135402000273
    • I. Karafyllis and P. Daoutidis, "Control of hot spots in plug flow reactors," Comput. Chem. Eng., vol. 26, no. 7-8, pp. 1087-1094, 2002. (Pubitemid 36076782)
    • (2002) Computers and Chemical Engineering , vol.26 , Issue.7-8 , pp. 1087-1094
    • Karafyllis, I.1    Daoutidis, P.2
  • 21
    • 1942484895 scopus 로고    scopus 로고
    • Model Predictive Control for Quasilinear Hyperbolic Distributed Parameter Systems
    • H. Shang, J. F. Frobes, and M. Guay, "Model predictive control for quasilinear hyperbolic distributed parameter systems," Ind. Eng. Chem. Res., vol. 43, no. 9, pp. 2140-2149, 2004. (Pubitemid 38507182)
    • (2004) Industrial and Engineering Chemistry Research , vol.43 , Issue.9 , pp. 2140-2149
    • Shang, H.1    Forbes, J.F.2    Guay, M.3
  • 22
    • 0021892282 scopus 로고
    • Fuzzy identification of systems and its applications to modeling and control
    • Jan.
    • T. Takagi and M. Sugeno, "Fuzzy identification of systems and its applications to modeling and control," IEEE Trans. Syst., Man, Cybern., vol. SMC-15, no. 1, pp. 116-132, Jan. 1985.
    • (1985) IEEE Trans. Syst., Man, Cybern. , vol.SMC-15 , Issue.1 , pp. 116-132
    • Takagi, T.1    Sugeno, M.2
  • 25
    • 0035302796 scopus 로고    scopus 로고
    • Parameterized linear matrix inequality techniques in fuzzy control system design
    • DOI 10.1109/91.919253, PII S1063670601028259
    • H. D. Tuan, P. Apkarian, T. Narikiyo, and Y. Yamamoto, "Parameterized linear matrix inequality techniques in fuzzy control system design," IEEE Trans. Fuzzy Syst., vol. 9, no. 2, pp. 324-332, Apr. 2001. (Pubitemid 32505588)
    • (2001) IEEE Transactions on Fuzzy Systems , vol.9 , Issue.2 , pp. 324-332
    • Tuan, H.D.1    Apkarian, P.2    Narikiyo, T.3    Yamamoto, Y.4
  • 26
    • 0042378953 scopus 로고    scopus 로고
    • A multiple Lyapunov function approach to stabilization of fuzzy control systems
    • Aug.
    • K. Tanaka, T. Hori, and H. O. Wang, "A multiple Lyapunov function approach to stabilization of fuzzy control systems," IEEE Trans. Fuzzy Syst., vol. 11, no. 4, pp. 582-589, Aug. 2003.
    • (2003) IEEE Trans. Fuzzy Syst. , vol.11 , Issue.4 , pp. 582-589
    • Tanaka, K.1    Hori, T.2    Wang, H.O.3
  • 27
    • 1642354214 scopus 로고    scopus 로고
    • LMI-based relaxed nonquadratic stabilization conditions for nonlinear systems in the Takagi-Sugeno's form
    • T. M. Guerra and L. Vermeiren, "LMI-based relaxed nonquadratic stabilization conditions for nonlinear systems in the Takagi-Sugeno's form," Automatica, vol. 40, no. 5, pp. 823-829, 2004.
    • (2004) Automatica , vol.40 , Issue.5 , pp. 823-829
    • Guerra, T.M.1    Vermeiren, L.2
  • 28
    • 35348892662 scopus 로고    scopus 로고
    • Stabilization of nonlinear systems under variable sampling: A fuzzy control approach
    • DOI 10.1109/TFUZZ.2006.890660
    • H. Gao and T. Chen, "Stabilization of nonlinear systems under variable sampling: a fuzzy control approach," IEEE Trans. Fuzzy Syst., vol. 15, no. 5, pp. 972-983, Oct. 2007. (Pubitemid 47578002)
    • (2007) IEEE Transactions on Fuzzy Systems , vol.15 , Issue.5 , pp. 972-983
    • Gao, H.1    Chen, T.2
  • 29
    • 48949093708 scopus 로고    scopus 로고
    • Improved delay-dependent robust stabilization conditions of uncertain T-S fuzzy systems with time-varying delay
    • C. Peng, Y. C. Tian, and E. Tian, "Improved delay-dependent robust stabilization conditions of uncertain T-S fuzzy systems with time-varying delay," Fuzzy Set. Syst., vol. 159, no. 20, pp. 2713-2729, 2008.
    • (2008) Fuzzy Set. Syst. , vol.159 , Issue.20 , pp. 2713-2729
    • Peng, C.1    Tian, Y.C.2    Tian, E.3
  • 30
    • 68849121488 scopus 로고    scopus 로고
    • Convergent LMI relaxations for quadratic stabilizability and H∞ control of Takagi-Sugeno fuzzy systems
    • Aug.
    • V. F. Montagner, R. C. L. F. Oliveira, and P. L. D. Peres, "Convergent LMI relaxations for quadratic stabilizability and H∞ control of Takagi-Sugeno fuzzy systems," IEEE Trans. Fuzzy Syst., vol. 17, no. 4, pp. 863-873, Aug. 2009.
    • (2009) IEEE Trans. Fuzzy Syst. , vol.17 , Issue.4 , pp. 863-873
    • Montagner, V.F.1    Oliveira, R.C.L.F.2    Peres, P.L.D.3
  • 33
    • 0034159386 scopus 로고    scopus 로고
    • Dynamical analysis of distributed parameter tubular reactors
    • DOI 10.1016/S0005-1098(99)00170-3
    • J. J. Winkin, D. Dochain, and P. Ligarius, "Dynamical analysis of distributed parameter tubular reactors," Automatica, vol. 36, no. 3, pp. 349-361, 2000. (Pubitemid 30561637)
    • (2000) Automatica , vol.36 , Issue.3 , pp. 349-361
    • Winkin, J.J.1    Dochain, D.2    Ligarius, P.3
  • 37
    • 0036647170 scopus 로고    scopus 로고
    • Distributed control of spatially invariant systems
    • DOI 10.1109/TAC.2002.800646, PII 1011092002800646
    • B. Bamieh, F. Paganini, andM.A.Dahleh, "Distributed control of spatially invariant systems," IEEE Trans. Autom. Control, vol. 47, no. 7, pp. 1091-1107, Jul. 2002. (Pubitemid 34835332)
    • (2002) IEEE Transactions on Automatic Control , vol.47 , Issue.7 , pp. 1091-1107
    • Bamieh, B.1    Paganini, F.2    Dahleh, M.A.3
  • 43
    • 0022660304 scopus 로고
    • Finite-dimensional control of distributed parameter systems by Galerkin approximation of infinite dimensional controller
    • M. J. Balas, "Finite-dimensional control of distributed parameter systems by Galerkin approximation of infinite dimensional controller," J. Math. Anal. Appl., vol. 114, no. 1, pp. 17-36, 1986.
    • (1986) J. Math. Anal. Appl. , vol.114 , Issue.1 , pp. 17-36
    • Balas, M.J.1
  • 44
    • 0035439597 scopus 로고    scopus 로고
    • A new bounded real lemma representation for the continuous-time case
    • DOI 10.1109/9.948470, PII S0018928601088213
    • U. Shaked and V. Suplin, "A new bounded real lemma representation for the continuous-time case," IEEE Trans. Autom. Control, vol. 46, no. 9, pp. 1420-1426, Sep. 2001. (Pubitemid 32981646)
    • (2001) IEEE Transactions on Automatic Control , vol.46 , Issue.9 , pp. 1420-1426
    • Shaked, U.1    Suplin, V.2


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