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Volumn 43, Issue 4, 2005, Pages 1253-1271

Finite time stability and robust control synthesis of uncertain switched systems

Author keywords

Finite time stabilization; Homogeneity; Nonautonomous switched system; Robust stability

Indexed keywords

FINITE TIME STABILIZATION; HOMOGENEITY; NONAUTONOMOUS SWITCHED SYSTEMS; SLIDING MOTIONS;

EID: 23244467962     PISSN: 03630129     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0363012903425593     Document Type: Article
Times cited : (665)

References (35)
  • 1
    • 0346342908 scopus 로고    scopus 로고
    • An invariance principle for discontinuous dynamic systems with applications to a Coulomb friction oscillator
    • J. ALVAREZ, I. ORLOV, AND L. ACHO, An invariance principle for discontinuous dynamic systems with applications to a Coulomb friction oscillator, Trans. ASME J. Dynam. Systems Measurement Control, 122 (2000), pp. 687-690.
    • (2000) Trans. ASME J. Dynam. Systems Measurement Control , vol.122 , pp. 687-690
    • Alvarez, J.1    Orlov, I.2    Acho, L.3
  • 2
    • 0028460355 scopus 로고
    • A survey of models, analysis tools and compensation methods for the control of machines with friction
    • B. ARMSTRONG-HÉLOUVRY, P. DUPONT, AND C. CANUDAS DE WIT, A survey of models, analysis tools and compensation methods for the control of machines with friction, Automatica J. IFAC, 30 (1994), pp. 1083-1138.
    • (1994) Automatica J. IFAC , vol.30 , pp. 1083-1138
    • Armstrong-Hélouvry, B.1    Dupont, P.2    De Wit, C.C.3
  • 3
    • 0024935881 scopus 로고
    • Chattering phenomena in discontinuous control systems
    • G. BARTOLINI, Chattering phenomena in discontinuous control systems, Internat. J. Systems Sci., 20 (1989), pp. 2471-2481.
    • (1989) Internat. J. Systems Sci. , vol.20 , pp. 2471-2481
    • Bartolini, G.1
  • 4
    • 0032001816 scopus 로고    scopus 로고
    • Chattering avoidance by second-order sliding mode control
    • G. BARTOLINI, A. FERRARA, AND E. USAI, Chattering avoidance by second-order sliding mode control, IEEE Trans. Automat. Control, 43 (1998), pp. 241-246.
    • (1998) IEEE Trans. Automat. Control , vol.43 , pp. 241-246
    • Bartolini, G.1    Ferrara, A.2    Usai, E.3
  • 5
    • 0027684488 scopus 로고
    • Global regulation of robots using only position measurements
    • H. BERGHUIS AND H. NIJMEIJER, Global regulation of robots using only position measurements, Systems Control Lett., 21 (1993), pp. 289-293.
    • (1993) Systems Control Lett. , vol.21 , pp. 289-293
    • Berghuis, H.1    Nijmeijer, H.2
  • 6
    • 0032070908 scopus 로고    scopus 로고
    • Continuous finite-time stabilization of the translational and rotational double integrators
    • S. P. BHAT AND D. S. BERNSTEIN, Continuous finite-time stabilization of the translational and rotational double integrators, IEEE Trans. Automat. Control, 43 (1998), pp. 678-682.
    • (1998) IEEE Trans. Automat. Control , vol.43 , pp. 678-682
    • Bhat, S.P.1    Bernstein, D.S.2
  • 7
    • 0000761428 scopus 로고    scopus 로고
    • Finite-time stability of continuous autonomous systems
    • S. P. BHAT AND D. S. BERNSTEIN, Finite-time stability of continuous autonomous systems, SIAM J. Control Optim., 38 (2000), pp. 751-766.
    • (2000) SIAM J. Control Optim. , vol.38 , pp. 751-766
    • Bhat, S.P.1    Bernstein, D.S.2
  • 8
    • 0032047505 scopus 로고    scopus 로고
    • Multiple lyapunov functions and other analysis tools for switched and hybrid systems
    • M. S. BRANICKY, Multiple Lyapunov functions and other analysis tools for switched and hybrid systems, IEEE Trans. Automat. Control, 43 (1998), pp. 475-482.
    • (1998) IEEE Trans. Automat. Control , vol.43 , pp. 475-482
    • Branicky, M.S.1
  • 9
    • 0026238258 scopus 로고
    • Asymptotic stabilization of minimum phase nonlinear systems
    • C. I. BYRNES AND A. ISIDORI, Asymptotic stabilization of minimum phase nonlinear systems, IEEE Trans. Automat. Control, 36 (1991), pp. 1122-1137.
    • (1991) IEEE Trans. Automat. Control , vol.36 , pp. 1122-1137
    • Byrnes, C.I.1    Isidori, A.2
  • 11
    • 0000557902 scopus 로고    scopus 로고
    • Higher order sliding modes as a natural phenomenon in control theory
    • Robust Control Via Variable Structure and Lyapunov Techniques, F. Garafalo and L. Glielmo, eds., Springer-Verlag, London
    • L. FRIDMAN AND A. LEVANT, Higher order sliding modes as a natural phenomenon in control theory, in Robust Control Via Variable Structure and Lyapunov Techniques, Lecture Notes in Control and Inform. Sci. 217, F. Garafalo and L. Glielmo, eds., Springer-Verlag, London, 1996, pp. 107-133.
    • (1996) Lecture Notes in Control and Inform. Sci. , vol.217 , pp. 107-133
    • Fridman, L.1    Levant, A.2
  • 12
    • 0002431851 scopus 로고    scopus 로고
    • Higher order sliding modes
    • W. Perruquetti and J.-P. Barbout, eds., Marcel Dekker, New York
    • L. FRIDMAN AND A. LEVANT, Higher order sliding modes, in Sliding Mode Control in Engineering, W. Perruquetti and J.-P. Barbout, eds., Marcel Dekker, New York, 2002, pp. 53-102.
    • (2002) Sliding Mode Control in Engineering , pp. 53-102
    • Fridman, L.1    Levant, A.2
  • 13
    • 0001392090 scopus 로고
    • Relay control systems optimized for various performance criteria
    • Moscow, Butterworth, London
    • A. T. FULLER, Relay control systems optimized for various performance criteria, in Proceedings of the First World Congress IFAC, Vol. 1, Moscow, 1960, Butterworth, London, 1961, pp. 510-519.
    • (1960) Proceedings of the First World Congress IFAC , vol.1 , pp. 510-519
    • Fuller, A.T.1
  • 14
    • 0022751616 scopus 로고
    • Finite time controllers
    • V. T. HAIMO, Finite time controllers, SIAM J. Control Optim., 24 (1986), pp. 760-770.
    • (1986) SIAM J. Control Optim. , vol.24 , pp. 760-770
    • Haimo, V.T.1
  • 16
    • 0035249145 scopus 로고    scopus 로고
    • On an output feedback finite-time stabilization problem
    • Y. HONG, J. HUANG, AND Y. XU, On an output feedback finite-time stabilization problem, IEEE Trans. Automat. Control, 46 (2001), pp. 305-309.
    • (2001) IEEE Trans. Automat. Control , vol.46 , pp. 305-309
    • Hong, Y.1    Huang, J.2    Xu, Y.3
  • 17
    • 0004005501 scopus 로고
    • Certain problems in the theory of stability of motion
    • Moscow, (in Russian)
    • N. N. KRASOVSKII, Certain Problems in the Theory of Stability of Motion, Gosudarstv. Izdat. Fiz.-Mat. Lit., Moscow, 1959 (in Russian).
    • (1959) Gosudarstv. Izdat. Fiz.-mat. Lit.
    • Krasovskii, N.N.1
  • 19
    • 33646976814 scopus 로고
    • Some extensions of lyapunov's second method
    • J. P. LASALLE, Some extensions of Lyapunov's second method, IRE Trans. Circuit Theory, CT-7 (1960), pp. 520-527.
    • (1960) IRE Trans. Circuit Theory , vol.CT-7 , pp. 520-527
    • Lasalle, J.P.1
  • 20
    • 39849093295 scopus 로고
    • Sliding order and sliding accuracy in sliding mode control
    • A. LEVANT, Sliding order and sliding accuracy in sliding mode control, Internat. J. Control, 58 (1993), pp. 1247-1263.
    • (1993) Internat. J. Control , vol.58 , pp. 1247-1263
    • Levant, A.1
  • 21
    • 0034354421 scopus 로고    scopus 로고
    • Variable measurement step in 2-sliding control
    • A. LEVANT, Variable measurement step in 2-sliding control, Kybernetika (Prague), 36 (2000), pp. 77-93.
    • (2000) Kybernetika (Prague) , vol.36 , pp. 77-93
    • Levant, A.1
  • 23
    • 0033311181 scopus 로고    scopus 로고
    • Basic problems in stability and design of switched systems
    • D. LIBERZON AND A. S. MORSE, Basic problems in stability and design of switched systems, IEEE Control Systems, 19 (1999), pp. 59-70.
    • (1999) IEEE Control Systems , vol.19 , pp. 59-70
    • Liberzon, D.1    Morse, A.S.2
  • 24
    • 0001958763 scopus 로고    scopus 로고
    • Robust sliding mode control of uncertain nonlinear systems
    • X. Y. LU AND S. K. SPURGEON, Robust sliding mode control of uncertain nonlinear systems, Systems Control Lett., 32 (1997), pp. 75-90.
    • (1997) Systems Control Lett. , vol.32 , pp. 75-90
    • Lu, X.Y.1    Spurgeon, S.K.2
  • 25
    • 0041380733 scopus 로고    scopus 로고
    • Extended invariance principle for nonautonomous switched systems
    • Y. ORLOV, Extended invariance principle for nonautonomous switched systems, IEEE Trans. Automat. Control, 48 (2003), pp. 1448-1452.
    • (2003) IEEE Trans. Automat. Control , vol.48 , pp. 1448-1452
    • Orlov, Y.1
  • 26
    • 0142168455 scopus 로고    scopus 로고
    • Switched chattering control vs. backlash/friction phenomena in electrical servo-motors
    • Y. ORLOV, L. AGUILAR, AND J. C. CADIOU, Switched chattering control vs. backlash/friction phenomena in electrical servo-motors, Internat. J. Control, 76 (2003), pp. 959-967.
    • (2003) Internat. J. Control , vol.76 , pp. 959-967
    • Orlov, Y.1    Aguilar, L.2    Cadiou, J.C.3
  • 27
    • 0026998882 scopus 로고
    • Homogeneous lyapunov function for homogeneous continuous vector field
    • L. ROSIER, Homogeneous Lyapunov function for homogeneous continuous vector field, Systems Control Lett., 19 (1992), pp. 467-473.
    • (1992) Systems Control Lett. , vol.19 , pp. 467-473
    • Rosier, L.1
  • 28
    • 0028497846 scopus 로고
    • Lyapunov stability theory of nonsmooth systems
    • D. SHEVITZ AND B. PADEN, Lyapunov stability theory of nonsmooth systems, IEEE Trans. Automat. Control, 39 (1994), pp. 1910-1914.
    • (1994) IEEE Trans. Automat. Control , vol.39 , pp. 1910-1914
    • Shevitz, D.1    Paden, B.2
  • 29
    • 0026140962 scopus 로고
    • The peaking phenomenon and the global stabilization of nonlinear systems
    • H. J. SUSSMAN AND P. V. KOKOTOVIC, The peaking phenomenon and the global stabilization of nonlinear systems, IEEE Trans. Automat. Control, 36 (1991), pp. 424-440.
    • (1991) IEEE Trans. Automat. Control , vol.36 , pp. 424-440
    • Sussman, H.J.1    Kokotovic, P.V.2
  • 31
    • 0001370764 scopus 로고
    • The effects of backlash and speed-dependent friction on the stability of closed-cycle control system
    • A. TUSTIN, The effects of backlash and speed-dependent friction on the stability of closed-cycle control system, J. Institution of Electrical Engineers, 94 (1947), pp. 143-151.
    • (1947) J. Institution of Electrical Engineers , vol.94 , pp. 143-151
    • Tustin, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.