메뉴 건너뛰기




Volumn 6, Issue 5, 2000, Pages 461-493

Robust Stabilization of Nonlinear Systems: The LMI Approach

Author keywords

Decentralized control; Generalized matching conditions; Interconnected systems; LMI; Robust stabilization

Indexed keywords


EID: 0000763176     PISSN: 1024123X     EISSN: None     Source Type: Journal    
DOI: 10.1155/S1024123X00001435     Document Type: Article
Times cited : (245)

References (36)
  • 3
    • 0024702003 scopus 로고
    • Parameter Space Methods for Robust Control Design: A Guided Tour
    • Šiljak, D. D. (1989). Parameter Space Methods for Robust Control Design: A Guided Tour, IEEE Transactions on Automatic Control, 34, 674-688.
    • (1989) IEEE Transactions on Automatic Control , vol.34 , pp. 674-688
    • Šiljak, D.D.1
  • 5
    • 0001890742 scopus 로고    scopus 로고
    • Constructive nonlinear control: Progress in the 90's
    • Beijing, P.R. China
    • Kokotović, P. and Arcak, M. (1999). Constructive nonlinear control: Progress in the 90's, Proceedings of the 14th IFAC World Congress, Beijing, P.R. China, Plenary Volume, pp. 49-77.
    • (1999) Proceedings of the 14th IFAC World Congress , vol.PLENARY VOLUME , pp. 49-77
    • Kokotović, P.1    Arcak, M.2
  • 7
    • 0002182464 scopus 로고
    • The S-procedure in nonlinear control theory
    • Yakubovich, V. A. (1971). The S-procedure in nonlinear control theory, Vestnik Leningradskogo Universiteta, 1, 62-77; English translation in Vestnik Leningrad Univ. Math., 4, 73-93 (1977).
    • (1971) Vestnik Leningradskogo Universiteta , vol.1 , pp. 62-77
    • Yakubovich, V.A.1
  • 8
    • 0242473952 scopus 로고
    • Yakubovich, V. A. (1971). The S-procedure in nonlinear control theory, Vestnik Leningradskogo Universiteta, 1, 62-77; English translation in Vestnik Leningrad Univ. Math., 4, 73-93 (1977).
    • (1977) Vestnik Leningrad Univ. Math. , vol.4 , pp. 73-93
  • 10
    • 85037483740 scopus 로고    scopus 로고
    • Robust Stability and Stabilization of Discrete-Time Systems: The LMI Approach
    • Santa Clara University, Santa Clara, CA
    • Stipanović, D. M. and Šiljak, D. D., Robust Stability and Stabilization of Discrete-Time Systems: The LMI Approach, Technical Report No. ECS-9526142-04, Santa Clara University, Santa Clara, CA, 2000.
    • (2000) Technical Report No. ECS-9526142-04
    • Stipanović, D.M.1    Šiljak, D.D.2
  • 11
    • 0010649207 scopus 로고    scopus 로고
    • A new approach to Lyapunov based controller design
    • Laboratoire d'Analyses et d'Architecture des Systemes, Toulouse, France
    • de Oliveira, M. C., Bernussou, J. and Geromel, J. C., A new approach to Lyapunov based controller design, Laboratoire d'Analyses et d'Architecture des Systemes, LAAs Report 98543, Toulouse, France, 1998.
    • (1998) LAAs Report 98543
    • De Oliveira, M.C.1    Bernussou, J.2    Geromel, J.C.3
  • 12
    • 0020175723 scopus 로고
    • Optimal decentralized control of dynamic systems
    • Geromel, J. C. and Bernussou, J. (1982). Optimal decentralized control of dynamic systems, Automatica, 18, 545-557.
    • (1982) Automatica , vol.18 , pp. 545-557
    • Geromel, J.C.1    Bernussou, J.2
  • 13
    • 0028531318 scopus 로고
    • Decentralized control through parameter space optimization
    • Geromel, J., Bernussou, J. and Peres, P. (1994). Decentralized control through parameter space optimization, Automatica, 30, 1565-1578.
    • (1994) Automatica , vol.30 , pp. 1565-1578
    • Geromel, J.1    Bernussou, J.2    Peres, P.3
  • 15
    • 0003185957 scopus 로고    scopus 로고
    • Output feedback decentralized stabilization: ILMI approach
    • Cao, Y. Y., Sun, Y. X. and Mao, W. J. (1998). Output feedback decentralized stabilization: ILMI approach, Systems and Control Letters, 35, 183-194.
    • (1998) Systems and Control Letters , vol.35 , pp. 183-194
    • Cao, Y.Y.1    Sun, Y.X.2    Mao, W.J.3
  • 20
    • 0004178386 scopus 로고    scopus 로고
    • Prentice-Hall, Upper Saddler River, NJ
    • Khalil, H. K., Nonlinear Systems, Prentice-Hall, Upper Saddler River, NJ, 1996.
    • (1996) Nonlinear Systems
    • Khalil, H.K.1
  • 21
    • 0003314259 scopus 로고
    • Quantitative measures of robustness for multivariable systems
    • Paper TP8-A
    • Patel, R. V. and Toda, M., Quantitative measures of robustness for multivariable systems, Proceedings of JACC, Paper TP8-A, 1980.
    • (1980) Proceedings of JACC
    • Patel, R.V.1    Toda, M.2
  • 23
    • 0024699749 scopus 로고
    • A linear programming oriented procedure for quadratic stabilization of uncertain systems
    • Bernussou, J., Peres, P. L. D. and Geromel, J. C. (1989). A linear programming oriented procedure for quadratic stabilization of uncertain systems, Systems and Control Letters, 13, 65-72.
    • (1989) Systems and Control Letters , vol.13 , pp. 65-72
    • Bernussou, J.1    Peres, P.L.D.2    Geromel, J.C.3
  • 24
    • 0000880622 scopus 로고    scopus 로고
    • Decentralized stabilization of large-scale linear systems with time-delay
    • L-5a-03-6
    • Chen, G., Yu, L., Yang, M. and Chu, J. (1999). Decentralized stabilization of large-scale linear systems with time-delay, Proceedings of the 14th IFAC Congress, L-5a-03-6, pp. 279-283.
    • (1999) Proceedings of the 14th IFAC Congress , pp. 279-283
    • Chen, G.1    Yu, L.2    Yang, M.3    Chu, J.4
  • 28
    • 0001131464 scopus 로고
    • On decentrally stabilizable large-scale systems
    • Ikeda, M. and Šiljak, D. D. (1980). On decentrally stabilizable large-scale systems, Automatica, 16, 331-334.
    • (1980) Automatica , vol.16 , pp. 331-334
    • Ikeda, M.1    Šiljak, D.D.2
  • 30
    • 0034172732 scopus 로고    scopus 로고
    • Stability of polytopic systems via convex M-matrices and parameter-dependent Liapunov functions
    • Stipanović, D. M. and Šiljak, D. D. (2000). Stability of polytopic systems via convex M-matrices and parameter-dependent Liapunov functions, Nonlinear Analysis, 40, 589-609.
    • (2000) Nonlinear Analysis , vol.40 , pp. 589-609
    • Stipanović, D.M.1    Šiljak, D.D.2
  • 31
    • 0017519167 scopus 로고
    • Decentrally stabilizable linear and bilinear large-scale systems
    • Šiljak, D. D. and Vukčević, M. B. (1977). Decentrally stabilizable linear and bilinear large-scale systems, International Journal of Control, 26, 289-305.
    • (1977) International Journal of Control , vol.26 , pp. 289-305
    • Šiljak, D.D.1    Vukčević, M.B.2
  • 32
    • 0019587692 scopus 로고
    • On decentralized stabilization and structure of linear large scale systems
    • Sezer, M. E. and Šiljak, D. D. (1981). On decentralized stabilization and structure of linear large scale systems, Automatica, 17, 641-644.
    • (1981) Automatica , vol.17 , pp. 641-644
    • Sezer, M.E.1    Šiljak, D.D.2
  • 33
    • 0020751908 scopus 로고
    • Optimality of decentralized control for large-scale systems
    • Ikeda, M., Šiljak, D. D. and Yasuda, K. (1983). Optimality of decentralized control for large-scale systems, Automatica, 19, 309-316.
    • (1983) Automatica , vol.19 , pp. 309-316
    • Ikeda, M.1    Šiljak, D.D.2    Yasuda, K.3
  • 34
    • 0022704391 scopus 로고
    • Stabilization by decentralized control for large-scale interconnected systems
    • Shi, Z. C. and Gao, W. B. (1986). Stabilization by decentralized control for large-scale interconnected systems, Large Scale Systems, 10, 147-155.
    • (1986) Large Scale Systems , vol.10 , pp. 147-155
    • Shi, Z.C.1    Gao, W.B.2
  • 35
    • 0030287987 scopus 로고    scopus 로고
    • Decentralized robust control for interconnected systems with time-varying uncertainties
    • Yang, G. H. and Zhang, S. Y. (1996). Decentralized robust control for interconnected systems with time-varying uncertainties, Automatica, 32, 1603-1608.
    • (1996) Automatica , vol.32 , pp. 1603-1608
    • Yang, G.H.1    Zhang, S.Y.2
  • 36
    • 0030504105 scopus 로고    scopus 로고
    • Decentralized robust control for a class of uncertain large-scale interconnected nonlinear dynamical systems
    • Zhang, S. Y., Mizukami, K. and Wu, H. S. (1996). Decentralized robust control for a class of uncertain large-scale interconnected nonlinear dynamical systems, Journal of Optimization Theory and Applications, 91, 235-254.
    • (1996) Journal of Optimization Theory and Applications , vol.91 , pp. 235-254
    • Zhang, S.Y.1    Mizukami, K.2    Wu, H.S.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.