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Volumn 47, Issue 4, 2008, Pages 1814-1850

Homogeneous approximation, recursive observer design, and output feedback

Author keywords

Homogeneous approximation; Output feedback and observer

Indexed keywords

RECURSIVE FUNCTIONS;

EID: 55549084229     PISSN: 03630129     EISSN: None     Source Type: Journal    
DOI: 10.1137/060675861     Document Type: Article
Times cited : (730)

References (35)
  • 3
    • 21344471250 scopus 로고    scopus 로고
    • Geometric homogeneity with applications to finite-time stability
    • S. P. BHAT AND D. S. BERNSTEIN, Geometric homogeneity with applications to finite-time stability, Math. Control Signals Systems, 17 (2005), pp. 101-127.
    • (2005) Math. Control Signals Systems , vol.17 , pp. 101-127
    • BHAT, S.P.1    BERNSTEIN, D.S.2
  • 4
    • 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
  • 5
    • 0026204666 scopus 로고
    • Adding an integrator for the stabilization problem
    • J.-M. CORON AND L. PRALY, Adding an integrator for the stabilization problem, Systems Control Lett., 17 (1991), pp. 89-104.
    • (1991) Systems Control Lett , vol.17 , pp. 89-104
    • CORON, J.-M.1    PRALY, L.2
  • 6
    • 0001921646 scopus 로고
    • A relation between continuous time-varying and discontinuous feedback stabilization
    • J.-M. CORON AND L. ROSIER, A relation between continuous time-varying and discontinuous feedback stabilization, J. Math. Systems Estim. Control, 4 (1994), pp. 67-84.
    • (1994) J. Math. Systems Estim. Control , vol.4 , pp. 67-84
    • CORON, J.-M.1    ROSIER, L.2
  • 9
    • 0001110408 scopus 로고
    • Homogeneous coordinates and continuous asymptotically stabilizing feedback controls
    • Differential Equations: Stability and Control, S. Elaydi, ed, Marcel Dekker, New York
    • H. HERMES, Homogeneous coordinates and continuous asymptotically stabilizing feedback controls, in Differential Equations: Stability and Control, Lecture Notes in Pure Appl. Math. 109, S. Elaydi, ed., Marcel Dekker, New York, 1991, pp. 249-260.
    • (1991) Lecture Notes in Pure Appl. Math , vol.109 , pp. 249-260
    • HERMES, H.1
  • 10
    • 0037162403 scopus 로고    scopus 로고
    • Finite-time stabilization and stabilizability of a class of controllable systems
    • Y. HONG, Finite-time stabilization and stabilizability of a class of controllable systems, Systems Control Lett., 46 (2002), pp. 231-236.
    • (2002) Systems Control Lett , vol.46 , pp. 231-236
    • HONG, Y.1
  • 11
    • 33846166511 scopus 로고
    • Small-gain theorem for ISS systems and applications
    • Z.-P. JIANG, A. TEEL, AND L. PRALY, Small-gain theorem for ISS systems and applications, Math. Control Signals Systems, 7 (1994), pp. 95-120.
    • (1994) Math. Control Signals Systems , vol.7 , pp. 95-120
    • JIANG, Z.-P.1    TEEL, A.2    PRALY, L.3
  • 12
    • 0024607453 scopus 로고
    • Stabilization of nonlinear systems in the plane
    • M. KAWSKI, Stabilization of nonlinear systems in the plane, Systems Control Lett., 12 (1989), pp. 169-175.
    • (1989) Systems Control Lett , vol.12 , pp. 169-175
    • KAWSKI, M.1
  • 13
    • 0023454330 scopus 로고
    • Adaptive stabilization of a class of nonlinear systems using high-gain feedback
    • H. KHALIL AND A. SABERI, Adaptive stabilization of a class of nonlinear systems using high-gain feedback, IEEE Trans. Automat. Control, 32 (1987), pp. 1031-1035.
    • (1987) IEEE Trans. Automat. Control , vol.32 , pp. 1031-1035
    • KHALIL, H.1    SABERI, A.2
  • 15
    • 0030192731 scopus 로고    scopus 로고
    • On finite-gain stabilizability of linear systems subject to input saturation
    • W. LIU, Y. CHITOUR, AND E. SONTAG, On finite-gain stabilizability of linear systems subject to input saturation, SIAM J. Control Optim., 34 (1996), pp. 1190-1219.
    • (1996) SIAM J. Control Optim , vol.34 , pp. 1190-1219
    • LIU, W.1    CHITOUR, Y.2    SONTAG, E.3
  • 16
    • 0000682499 scopus 로고
    • Contributions to stability theory
    • J. L. MASSERA, Contributions to stability theory, Ann. of Math., 64 (1956), pp. 182-206.
    • (1956) Ann. of Math , vol.64 , pp. 182-206
    • MASSERA, J.L.1
  • 18
    • 0028485199 scopus 로고
    • Global stabilization by output feedback: Examples and counter-examples
    • F. MAZENC, L. PRALY, AND W. P. DAYAWANSA, Global stabilization by output feedback: Examples and counter-examples, Systems Control Lett., 23 (1994), pp. 119-125.
    • (1994) Systems Control Lett , vol.23 , pp. 119-125
    • MAZENC, F.1    PRALY, L.2    DAYAWANSA, W.P.3
  • 19
    • 0030680790 scopus 로고    scopus 로고
    • Application of backstepping techniques to the time-varying exponential stabilisation of chained form systems
    • P. MORIN AND C. SAMSON, Application of backstepping techniques to the time-varying exponential stabilisation of chained form systems, European J. Control, 3 (1997), pp. 15-36.
    • (1997) European J. Control , vol.3 , pp. 15-36
    • MORIN, P.1    SAMSON, C.2
  • 20
    • 0035480287 scopus 로고    scopus 로고
    • Sufficient conditions for the existence of an unbounded solution
    • R. ORSI, L. PRALY, AND I. MAREELS, Sufficient conditions for the existence of an unbounded solution, Automatica, 37 (2001), pp. 1609-1617.
    • (2001) Automatica , vol.37 , pp. 1609-1617
    • ORSI, R.1    PRALY, L.2    MAREELS, I.3
  • 21
    • 0026239472 scopus 로고    scopus 로고
    • L. PRALY, B. d'ANDRÉA-NOVEL, AND J.-M. CORON, Lyapunov design of stabilizing controllers for cascaded systems, IEEE Trans. Automat. Control, 36 (1991), pp. 1177-1181.
    • L. PRALY, B. d'ANDRÉA-NOVEL, AND J.-M. CORON, Lyapunov design of stabilizing controllers for cascaded systems, IEEE Trans. Automat. Control, 36 (1991), pp. 1177-1181.
  • 22
    • 0027627289 scopus 로고
    • Stabilization by output feedback for systems with ISS inverse dynamics
    • L. PRALY AND Z.-P. JIANG, Stabilization by output feedback for systems with ISS inverse dynamics, Systems Control Lett., 21 (1993), pp. 19-33.
    • (1993) Systems Control Lett , vol.21 , pp. 19-33
    • PRALY, L.1    JIANG, Z.-P.2
  • 24
    • 2442716038 scopus 로고    scopus 로고
    • Linear output feedback with dynamic high gain for nonlinear systems
    • L. PRALY AND Z.-P. JIANG, Linear output feedback with dynamic high gain for nonlinear systems, Systems Control Lett., 53 (2004), pp. 107-116.
    • (2004) Systems Control Lett , vol.53 , pp. 107-116
    • PRALY, L.1    JIANG, Z.-P.2
  • 25
    • 55549092857 scopus 로고    scopus 로고
    • Design of Homogeneous Feedbacks for a Chain of Integrators and Applications
    • CAS, Ecole des Mines de Paris, Paris, December 11, 1995; revised April 15
    • L. PRALY AND F. MAZENC, Design of Homogeneous Feedbacks for a Chain of Integrators and Applications, Internal report E 173, CAS, Ecole des Mines de Paris, Paris, December 11, 1995; revised April 15, 1996.
    • (1996) Internal report E , vol.173
    • PRALY, L.1    MAZENC, F.2
  • 26
    • 23944490081 scopus 로고    scopus 로고
    • A homogeneous domination approach for global output feedback stabilization of a class of nonlinear systems
    • Portland
    • C. QIAN, A homogeneous domination approach for global output feedback stabilization of a class of nonlinear systems, in Proceedings of the IEEE American Control Conference, Portland, 2005, pp. 4708-4715.
    • (2005) Proceedings of the IEEE American Control Conference , pp. 4708-4715
    • QIAN, C.1
  • 27
    • 0036805085 scopus 로고    scopus 로고
    • Output feedback control of a class of nonlinear systems: A nonseparation principle paradigm
    • C. QIAN AND W. LIN, Output feedback control of a class of nonlinear systems: A nonseparation principle paradigm, IEEE Trans. Automat. Control, 47 (2002), pp. 1710-1715.
    • (2002) IEEE Trans. Automat. Control , vol.47 , pp. 1710-1715
    • QIAN, C.1    LIN, W.2
  • 28
    • 33749009320 scopus 로고    scopus 로고
    • Recursive observer design, homogeneous approximation, and nonsmooth output feedback stabilization of nonlinear systems
    • C. QIAN AND W. LIN, Recursive observer design, homogeneous approximation, and nonsmooth output feedback stabilization of nonlinear systems, IEEE Trans. Automat. Control, 51 (2006), pp. 1457-1471.
    • (2006) IEEE Trans. Automat. Control , vol.51 , pp. 1457-1471
    • QIAN, C.1    LIN, W.2
  • 29
    • 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
  • 30
    • 0037291162 scopus 로고    scopus 로고
    • Recursive nonlinear observer design: Beyond the uniform observability
    • H. SHIM AND J. SEO, Recursive nonlinear observer design: Beyond the uniform observability, IEEE Trans. Automat. Control, 48 (2003), pp. 294-298.
    • (2003) IEEE Trans. Automat. Control , vol.48 , pp. 294-298
    • SHIM, H.1    SEO, J.2
  • 31
    • 39549095204 scopus 로고    scopus 로고
    • Input to state stability: Basic concepts and results
    • P. Nistri and G. Stefani, eds, Springer-Verlag, Berlin
    • E. D. SONTAG, Input to state stability: Basic concepts and results, in Nonlinear and Optimal Control Theory, P. Nistri and G. Stefani, eds., Springer-Verlag, Berlin, 2006, pp. 163-220.
    • (2006) Nonlinear and Optimal Control Theory , pp. 163-220
    • SONTAG, E.D.1
  • 32
    • 0034459031 scopus 로고    scopus 로고
    • Lyapunov characterizations of input to output stability
    • E. SONTAG AND Y. WANG, Lyapunov characterizations of input to output stability, SIAM J. Control Optim., 39 (2000), pp. 226-249.
    • (2000) SIAM J. Control Optim , vol.39 , pp. 226-249
    • SONTAG, E.1    WANG, Y.2
  • 33
    • 0001812372 scopus 로고    scopus 로고
    • Explicit formulas of feedback stabilizers for a class of triangular systems with uncontrollable linearization
    • M. TZAMTZI AND J. TSINIAS, Explicit formulas of feedback stabilizers for a class of triangular systems with uncontrollable linearization, Systems Control Lett., 38 (1999), pp. 115-126.
    • (1999) Systems Control Lett , vol.38 , pp. 115-126
    • TZAMTZI, M.1    TSINIAS, J.2
  • 34
    • 84968514083 scopus 로고
    • Smoothing derivatives of functions and applications
    • F. W. WILSON, JR., Smoothing derivatives of functions and applications, Trans. Amer. Math. Soc., 139 (1969), pp. 413-428.
    • (1969) Trans. Amer. Math. Soc , vol.139 , pp. 413-428
    • WILSON JR., F.W.1
  • 35
    • 3843064546 scopus 로고    scopus 로고
    • Homogeneous observers, iterative design, and global stabilization of high-order nonlinear systems by smooth output feedback
    • B. YANG AND W. LIN, Homogeneous observers, iterative design, and global stabilization of high-order nonlinear systems by smooth output feedback, IEEE Trans. Automat. Control, 49 (2004), pp. 1069-1080.
    • (2004) IEEE Trans. Automat. Control , vol.49 , pp. 1069-1080
    • YANG, B.1    LIN, W.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.