메뉴 건너뛰기




Volumn 16, Issue 2, 2008, Pages 502-516

H∞ fuzzy observer-based control for a class of nonlinear distributed parameter systems with control constraints

Author keywords

Bilinear matrix inequality (BMI); Control constraints; Distributed parameter systems; Fuzzy control; Galerkin's method; H control

Indexed keywords

CONSTRAINT THEORY; DISTRIBUTED PARAMETER CONTROL SYSTEMS; FUZZY CONTROL; GALERKIN METHODS; LINEAR MATRIX INEQUALITIES; OPTIMIZATION; ORDINARY DIFFERENTIAL EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS;

EID: 42549125588     PISSN: 10636706     EISSN: None     Source Type: Journal    
DOI: 10.1109/TFUZZ.2007.896351     Document Type: Article
Times cited : (139)

References (41)
  • 2
    • 0018444414 scopus 로고
    • Feedback control of linear diffusion processes
    • M. J. Balas, "Feedback control of linear diffusion processes," Int. J. Contr., vol. 29, pp. 523-533, 1979.
    • (1979) Int. J. Contr , vol.29 , pp. 523-533
    • Balas, M.J.1
  • 3
    • 0020706717 scopus 로고
    • The Galerkin method and feedback control of linear distributed parameter systems
    • M. J. Balas, "The Galerkin method and feedback control of linear distributed parameter systems," J. Math. Anal. Appl., vol. 91, pp. 527-546, 1983.
    • (1983) J. Math. Anal. Appl , vol.91 , pp. 527-546
    • Balas, M.J.1
  • 4
    • 0020088061 scopus 로고
    • Finite-dimensional compensator design for parabolic distributed systems with point sensors and boundary input
    • R. F. Curtain, "Finite-dimensional compensator design for parabolic distributed systems with point sensors and boundary input," IEEE Trans. Autom. Contr., vol. AC-27, no. 1, pp. 98-104, 1982.
    • (1982) IEEE Trans. Autom. Contr , vol.AC-27 , Issue.1 , pp. 98-104
    • Curtain, R.F.1
  • 5
    • 33746294401 scopus 로고    scopus 로고
    • Predictive control of parabolic PDEs with boundary control actuation
    • S. Dubljevic and P. D. Christofides, "Predictive control of parabolic PDEs with boundary control actuation," Comput. Chem. Eng., vol. 61, pp. 6239-6248, 2006.
    • (2006) Comput. Chem. Eng , vol.61 , pp. 6239-6248
    • Dubljevic, S.1    Christofides, P.D.2
  • 6
    • 0029713403 scopus 로고    scopus 로고
    • Nonlinear control of diffusion-convection-reaction processes
    • P. D. Christofides and P. Daoutidis, "Nonlinear control of diffusion-convection-reaction processes," Comput. Chem. Eng., vol. 20, pp. S1071-S1076, 1996.
    • (1996) Comput. Chem. Eng , vol.20
    • Christofides, P.D.1    Daoutidis, P.2
  • 7
    • 0031366767 scopus 로고    scopus 로고
    • Finite-dimensional control of parabolic PDE systems using approximate inertial manifolds
    • P. D. Christofides and P. Daoutidis, "Finite-dimensional control of parabolic PDE systems using approximate inertial manifolds," J. Math. Anal. Appl., vol. 216, pp. 398-420, 1997.
    • (1997) J. Math. Anal. Appl , vol.216 , pp. 398-420
    • Christofides, P.D.1    Daoutidis, P.2
  • 8
    • 0032555622 scopus 로고    scopus 로고
    • Robust control of parabolic PDE systems
    • P. D. Christofides, "Robust control of parabolic PDE systems," Chem. Eng. Sci., vol. 53, pp. 2949-2965, 1998.
    • (1998) Chem. Eng. Sci , vol.53 , pp. 2949-2965
    • Christofides, P.D.1
  • 9
    • 0001141422 scopus 로고    scopus 로고
    • Robust output feedback control of quasi-linear parabolic PDE systems
    • P. D. Christofides and J. Baker, "Robust output feedback control of quasi-linear parabolic PDE systems," Syst. Contr. Lett., vol. 36, pp. 307-316, 1999.
    • (1999) Syst. Contr. Lett , vol.36 , pp. 307-316
    • Christofides, P.D.1    Baker, J.2
  • 10
    • 0037399946 scopus 로고    scopus 로고
    • Analysis and control of parabolic PDE systems with input constraints
    • N. H. El-Farra, A. Armaou, and P. D. Christofides, "Analysis and control of parabolic PDE systems with input constraints," Automatica vol. 39, pp. 715-725, 2003.
    • (2003) Automatica , vol.39 , pp. 715-725
    • El-Farra, N.H.1    Armaou, A.2    Christofides, P.D.3
  • 12
    • 0035976948 scopus 로고    scopus 로고
    • Low-order control-relevant models for a class of distributed parameter systems
    • K. A. Hoo and D. Zheng, "Low-order control-relevant models for a class of distributed parameter systems," Chem. Eng. Sci., vol. 56, pp. 6683-6710, 2001.
    • (2001) Chem. Eng. Sci , vol.56 , pp. 6683-6710
    • Hoo, K.A.1    Zheng, D.2
  • 13
    • 26244437005 scopus 로고    scopus 로고
    • Spectral approximation based intelligent modeling for a distributed thermal process
    • H. Deng, H.-X. Li, and G. Chen, "Spectral approximation based intelligent modeling for a distributed thermal process," IEEE Trans. Contr. Syst. Technol., vol. 13, no. 5, pp. 686-700, 2005.
    • (2005) IEEE Trans. Contr. Syst. Technol , vol.13 , Issue.5 , pp. 686-700
    • Deng, H.1    Li, H.-X.2    Chen, G.3
  • 14
    • 14644437036 scopus 로고    scopus 로고
    • Model-based integration of control and supervision for one kind of curing process
    • H.-X. Li, H. Deng, and J. Zhong, "Model-based integration of control and supervision for one kind of curing process," IEEE Trans. Electron. Packag. Manuf., vol. 27, no. 3, pp. 177-186, 2004.
    • (2004) IEEE Trans. Electron. Packag. Manuf , vol.27 , Issue.3 , pp. 177-186
    • Li, H.-X.1    Deng, H.2    Zhong, J.3
  • 16
    • 0021892282 scopus 로고
    • Fuzzy identification of systems and its applications to modeling and control
    • 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, 1985.
    • (1985) IEEE Trans. Syst., Man, Cybern , vol.SMC-15 , Issue.1 , pp. 116-132
    • Takagi, T.1    Sugeno, M.2
  • 20
    • 0042378953 scopus 로고    scopus 로고
    • A multiple Lyapunov function approach to stabilization of fuzzy control systems
    • 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, 2003.
    • (2003) IEEE Trans. Fuzzy Syst , vol.11 , Issue.4 , pp. 582-589
    • Tanaka, K.1    Hori, T.2    Wang, H.O.3
  • 21
    • 33645095444 scopus 로고    scopus 로고
    • Conditions of output stabilization for nonlinear models in the Takagi-Sugeno's form
    • T. M. Guerra, A. Kruszewski, L. Vermeiren, and H. Tirmant, "Conditions of output stabilization for nonlinear models in the Takagi-Sugeno's form," Fuzzy Sets Syst., vol. 157, pp. 1248-1259, 2006.
    • (2006) Fuzzy Sets Syst , vol.157 , pp. 1248-1259
    • Guerra, T.M.1    Kruszewski, A.2    Vermeiren, L.3    Tirmant, H.4
  • 22
    • 0031631591 scopus 로고    scopus 로고
    • Guaranteed-cost design of continuous-time Takagi-Sugeno fuzzy controllers via linear matrix inequalities
    • Anchorage, AK, May
    • A. Jadbabaie, M. Jamshidi, and A. Titli, "Guaranteed-cost design of continuous-time Takagi-Sugeno fuzzy controllers via linear matrix inequalities," in Proc. IEEE Int. Conf. Fuzzy Systems Proceedings Anchorage, AK, May 1998, pp. 268-273.
    • (1998) Proc. IEEE Int. Conf. Fuzzy Systems Proceedings , pp. 268-273
    • Jadbabaie, A.1    Jamshidi, M.2    Titli, A.3
  • 23
    • 1942436728 scopus 로고    scopus 로고
    • Delay-dependent guaranteed cost control for T-S fuzzy systems with time delays
    • X.-P. Guan and C.-L. Chen, "Delay-dependent guaranteed cost control for T-S fuzzy systems with time delays," IEEE Trans. Fuzzy Syst., vol. 12, no. 2, pp. 236-249, 2004.
    • (2004) IEEE Trans. Fuzzy Syst , vol.12 , Issue.2 , pp. 236-249
    • Guan, X.-P.1    Chen, C.-L.2
  • 24
    • 33644998247 scopus 로고    scopus 로고
    • H∞ output tracking control for nonlinear systems via T-S fuzzy model approach
    • C. Lin, Q.-G. Wang, and T. H. Lee, "H∞ output tracking control for nonlinear systems via T-S fuzzy model approach," IEEE Trans. Syst., Man, Cybern. B, Cybern., vol. 36, no. 2, pp. 450-457, 2006.
    • (2006) IEEE Trans. Syst., Man, Cybern. B, Cybern , vol.36 , Issue.2 , pp. 450-457
    • Lin, C.1    Wang, Q.-G.2    Lee, T.H.3
  • 25
    • 14644435098 scopus 로고    scopus 로고
    • H∞ controller synthesis of fuzzy dynamic systems based on piecewise Lyapunov functions and bilinear matrix inequalities
    • G. Feng, C.-L. Chen, D. Sun, and Y. Zhu, "H∞ controller synthesis of fuzzy dynamic systems based on piecewise Lyapunov functions and bilinear matrix inequalities," IEEE Trans. Fuzzy Syst., vol. 13, no. 1, pp. 94-103, 2005.
    • (2005) IEEE Trans. Fuzzy Syst , vol.13 , Issue.1 , pp. 94-103
    • Feng, G.1    Chen, C.-L.2    Sun, D.3    Zhu, Y.4
  • 26
    • 3042547163 scopus 로고    scopus 로고
    • Observer-based robust H∞ control for fuzzy systems using two-step procedure
    • J.-C. Lo and M.-L. Lin, "Observer-based robust H∞ control for fuzzy systems using two-step procedure," IEEE Trans. Fuzzy Syst., vol. 12, no. 3, pp. 350-359, 2004.
    • (2004) IEEE Trans. Fuzzy Syst , vol.12 , Issue.3 , pp. 350-359
    • Lo, J.-C.1    Lin, M.-L.2
  • 27
    • 0038200883 scopus 로고    scopus 로고
    • H∞ fuzzy output feedback control design for nonlinear systems: An LMI approach
    • S. K. Nguang and P. Shi, "H∞ fuzzy output feedback control design for nonlinear systems: An LMI approach," IEEE Trans. Fuzzy Syst., vol. 11, no. 3, pp. 331-340, 2003.
    • (2003) IEEE Trans. Fuzzy Syst , vol.11 , Issue.3 , pp. 331-340
    • Nguang, S.K.1    Shi, P.2
  • 28
    • 0034204782 scopus 로고    scopus 로고
    • 2/H∞ fuzzy output feedback control design for nonlinear dynamic systems: An LMI approach
    • 2/H∞ fuzzy output feedback control design for nonlinear dynamic systems: An LMI approach," IEEE Trans. Fuzzy Syst., vol. 8, no. 3, pp. 249-265, 2000.
    • (2000) IEEE Trans. Fuzzy Syst , vol.8 , Issue.3 , pp. 249-265
    • Chen, B.-S.1    Tseng, C.-S.2    Uang, H.-J.3
  • 29
    • 0035303165 scopus 로고    scopus 로고
    • Robust fuzzy control of nonlinear systems with parametric uncertainties
    • H. J. Lee, J. B. Park, and G. Chen, "Robust fuzzy control of nonlinear systems with parametric uncertainties," IEEE Trans. Fuzzy Syst., vol. 9, no. 2, pp. 369-379, 2001.
    • (2001) IEEE Trans. Fuzzy Syst , vol.9 , Issue.2 , pp. 369-379
    • Lee, H.J.1    Park, J.B.2    Chen, G.3
  • 30
    • 29144456616 scopus 로고    scopus 로고
    • Stability analysis of fuzzy control systems subject to uncertain grades of membership
    • Dec
    • H. K. Lam and F. H. F. Leung, "Stability analysis of fuzzy control systems subject to uncertain grades of membership," IEEE Trans. Syst., Man, Cybern. B, Cybern., vol. 35, pp. 1322-1325, Dec. 2005.
    • (2005) IEEE Trans. Syst., Man, Cybern. B, Cybern , vol.35 , pp. 1322-1325
    • Lam, H.K.1    Leung, F.H.F.2
  • 31
    • 7544232501 scopus 로고    scopus 로고
    • 2 guaranteed cost fuzzy control for uncertain nonlinear systems via linear matrix inequalities
    • 2 guaranteed cost fuzzy control for uncertain nonlinear systems via linear matrix inequalities," Fuzzy Sets Syst. vol. 148, pp. 411-429, 2004.
    • (2004) Fuzzy Sets Syst , vol.148 , pp. 411-429
    • Wu, H.N.1    Cai, K.-Y.2
  • 32
    • 0035897740 scopus 로고    scopus 로고
    • Robust fuzzy H∞ control for uncertain nonlinear systems via state feedback: An LMI approach
    • K. R. Lee, E. T. Jeung, and H. B. Park, "Robust fuzzy H∞ control for uncertain nonlinear systems via state feedback: An LMI approach," Fuzzy Sets Syst., vol. 120, pp. 123-134, 2001.
    • (2001) Fuzzy Sets Syst , vol.120 , pp. 123-134
    • Lee, K.R.1    Jeung, E.T.2    Park, H.B.3
  • 33
    • 3442880433 scopus 로고    scopus 로고
    • Reliable LQ fuzzy control for continuous-time nonlinear systems with actuator faults
    • H.-N. Wu, "Reliable LQ fuzzy control for continuous-time nonlinear systems with actuator faults," IEEE Trans. Syst., Man, Cybern. B, Cybern., vol. 34, no. 4, pp. 1743-1752, 2004.
    • (2004) IEEE Trans. Syst., Man, Cybern. B, Cybern , vol.34 , Issue.4 , pp. 1743-1752
    • Wu, H.-N.1
  • 34
    • 24944543445 scopus 로고    scopus 로고
    • 2/H∞ fuzzy static output feedback control for nonlinear systems with sensor faults
    • 2/H∞ fuzzy static output feedback control for nonlinear systems with sensor faults," Automatica, vol. 41, no. 11, pp. 1925-1932, 2005.
    • (2005) Automatica , vol.41 , Issue.11 , pp. 1925-1932
    • Wu, H.-N.1    Zhang, H.-Y.2
  • 35
    • 45549104747 scopus 로고    scopus 로고
    • Robust stabilization of the distributed parameter system with time delay via fuzzy control
    • to be published
    • K. Yuan, H.-X. Li, and J. Cao, "Robust stabilization of the distributed parameter system with time delay via fuzzy control," IEEE Trans. Fuzzy Syst., to be published.
    • IEEE Trans. Fuzzy Syst
    • Yuan, K.1    Li, H.-X.2    Cao, J.3
  • 37
    • 0026927363 scopus 로고
    • Disturbance attenuation and H∞ control via measurement feedback in nonlinear systems
    • Sep
    • A. Isidori and A. Asolfi, "Disturbance attenuation and H∞ control via measurement feedback in nonlinear systems," IEEE Trans. Autom. Contr., vol. 37, pp. 1283-1293, Sep. 1992.
    • (1992) IEEE Trans. Autom. Contr , vol.37 , pp. 1283-1293
    • Isidori, A.1    Asolfi, A.2
  • 38
    • 0029180020 scopus 로고
    • On the NP-hardness of solving bilinear matrix inequalities and simultaneous stabilization with static output feedback
    • Seattle, WA
    • O. Toker and H. Ozbay, "On the NP-hardness of solving bilinear matrix inequalities and simultaneous stabilization with static output feedback," in Proc. Amer. Contr. Conf., Seattle, WA, 1995, pp. 2525-2526.
    • (1995) Proc. Amer. Contr. Conf , pp. 2525-2526
    • Toker, O.1    Ozbay, H.2
  • 40
    • 0032295816 scopus 로고    scopus 로고
    • Static output feedback stabilization: An ILMI approach
    • Y.-Y. Cao, J. Lam, and Y.-X. Sun, "Static output feedback stabilization: An ILMI approach," Automatica, vol. 34, no. 12, pp. 1641-1645, 1998.
    • (1998) Automatica , vol.34 , Issue.12 , pp. 1641-1645
    • Cao, Y.-Y.1    Lam, J.2    Sun, Y.-X.3
  • 41
    • 0004178386 scopus 로고    scopus 로고
    • 3rd ed. Englewood Cliffs, NJ: Prentice Hall
    • H. K. Khalil, Nonlinear Systems, 3rd ed. Englewood Cliffs, NJ: Prentice Hall, 2002.
    • (2002) Nonlinear Systems
    • Khalil, H.K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.