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Volumn 48, Issue 1, 2012, Pages 145-152

A sector bound approach to feedback control of nonlinear systems with state quantization

Author keywords

Input to state stability (ISS); Nonlinear systems; Sector bound; Small gain; State quantization

Indexed keywords

CONTROL OF NONLINEAR SYSTEM; FEEDBACK CONTROL PROBLEM; INPUT TO STATE STABLE; INPUT-TO-STATE STABILITY; QUANTIZATION ERRORS; QUANTIZED CONTROL SYSTEM; QUANTIZERS; RECURSIVE CONTROL; SECTOR BOUND; SECTOR BOUND APPROACH; SET-VALUED MAP; SMALL-GAIN; STATE QUANTIZATION;

EID: 84355162971     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2011.09.041     Document Type: Article
Times cited : (151)

References (27)
  • 2
    • 34249029268 scopus 로고    scopus 로고
    • Discontinuous stabilization of nonlinear systems: Quantized and switching controls
    • DOI 10.1016/j.sysconle.2007.01.001, PII S0167691107000102
    • F. Ceragioli, and C. De Persis Discontinuous stabilization of nonlinear systems: quantized and switching controls Systems & Control Letters 56 2007 461 473 (Pubitemid 46783051)
    • (2007) Systems and Control Letters , vol.56 , Issue.7-8 , pp. 461-473
    • Ceragioli, F.1    De Persis, C.2
  • 4
    • 0002239179 scopus 로고    scopus 로고
    • Asymptotic Stability and Smooth Lyapunov Functions
    • DOI 10.1006/jdeq.1998.3476, PII S0022039698934763
    • F.H. Clarke, Yu.S. Ledyaev, R.J. Stern, and P.R. Wolenski Asymptotic stability and smooth Lyapunov functions Journal of Differential Equations 149 1998 69 114 (Pubitemid 128343330)
    • (1998) Journal of Differential Equations , vol.149 , Issue.1 , pp. 69-114
    • Clarke, F.H.1    Ledyaev, Y.S.2    Stern, R.J.3
  • 6
    • 77957358333 scopus 로고    scopus 로고
    • Small gain theorems for large scale systems and construction of ISS Lyapunov functions
    • S. Dashkovskiy, B.S. Rffer, and F.R. Wirth Small gain theorems for large scale systems and construction of ISS Lyapunov functions SIAM Journal on Control and Optimization 48 2010 4089 4118
    • (2010) SIAM Journal on Control and Optimization , vol.48 , pp. 4089-4118
    • Dashkovskiy, S.1    Rffer, B.S.2    Wirth, F.R.3
  • 7
    • 16244384693 scopus 로고    scopus 로고
    • N-bit stabilization of n-dimensional nonlinear systems in feedforward form
    • DOI 10.1109/TAC.2005.843847
    • C. De Persis n-bit stabilization of n-dimensional nonlinear systems in feedforward form IEEE Transactions on Automatic Control 50 2005 299 311 (Pubitemid 40448582)
    • (2005) IEEE Transactions on Automatic Control , vol.50 , Issue.3 , pp. 299-311
    • De Persis, C.1
  • 8
    • 0035439608 scopus 로고    scopus 로고
    • Stabilization of linear systems with limited information
    • DOI 10.1109/9.948466, PII S0018928601088249
    • N. Elia, and S.K. Mitter Stabilization of linear systems with limited information IEEE Transactions on Automatic Control 46 2001 1384 1400 (Pubitemid 32981642)
    • (2001) IEEE Transactions on Automatic Control , vol.46 , Issue.9 , pp. 1384-1400
    • Elia, N.1    Mitter, S.K.2
  • 11
    • 28644435994 scopus 로고    scopus 로고
    • The sector bound approach to quantized feedback control
    • DOI 10.1109/TAC.2005.858689
    • M. Fu, and L. Xie The sector bound approach to quantized feedback control IEEE Transactions on Automatic Control 50 2005 1698 1711 (Pubitemid 41748866)
    • (2005) IEEE Transactions on Automatic Control , vol.50 , Issue.11 , pp. 1698-1711
    • Fu, M.1    Xie, L.2
  • 12
    • 39549094388 scopus 로고    scopus 로고
    • Input-to-state stability and interconnections of discontinuous dynamical systems
    • Eindhoven University of Technology
    • Heemels, W.P.M.H.; Weiland, S. Input-to-state stability and interconnections of discontinuous dynamical systems. Technical Report DCT report 2007-104. Eindhoven University of Technology, 2007.
    • (2007) Technical Report DCT Report 2007-104
    • Heemels, W.P.M.H.1    Weiland, S.2
  • 13
    • 56349113272 scopus 로고    scopus 로고
    • Input-to-state stability and interconnections of discontinuous dynamical systems
    • W.P.M.H. Heemels, and S. Weiland Input-to-state stability and interconnections of discontinuous dynamical systems Automatica 44 2008 3079 3086
    • (2008) Automatica , vol.44 , pp. 3079-3086
    • Heemels, W.P.M.H.1    Weiland, S.2
  • 14
    • 0031102352 scopus 로고    scopus 로고
    • A small-gain control method for nonlinear cascaded systems with dynamic uncertainties
    • PII S0018928697020321
    • Z.P. Jiang, and I.M.Y. Mareels A small-gain control method for nonlinear cascade systems with dynamic uncertainties IEEE Transactions on Automatic Control 42 1997 292 308 (Pubitemid 127760593)
    • (1997) IEEE Transactions on Automatic Control , vol.42 , Issue.3 , pp. 292-308
    • Jiang, Z.-P.1    Mareels, I.M.Y.2
  • 15
    • 0030218302 scopus 로고    scopus 로고
    • A Lyapunov formulation of the nonlinear small-gain theorem for interconnected systems
    • Z.P. Jiang, I.M.Y. Mareels, and Y. Wang A Lyapunov formulation of the nonlinear small-gain theorem for interconnected systems Automatica 32 1996 1211 1214
    • (1996) Automatica , vol.32 , pp. 1211-1214
    • Jiang, Z.P.1    Mareels, I.M.Y.2    Wang, Y.3
  • 19
    • 0043093999 scopus 로고    scopus 로고
    • Hybrid feedback stabilization of systems with quantized signals
    • D. Liberzon Hybrid feedback stabilization of systems with quantized signals Automatica 39 2003 1543 1554
    • (2003) Automatica , vol.39 , pp. 1543-1554
    • Liberzon, D.1
  • 21
    • 1542365314 scopus 로고    scopus 로고
    • Quantized feedback stabilization of non-linear affine systems
    • J. Liu, and N. Elia Quantized feedback stabilization of non-linear affine systems International Journal of Control 77 2004 239 249
    • (2004) International Journal of Control , vol.77 , pp. 239-249
    • Liu, J.1    Elia, N.2
  • 22
    • 80052035782 scopus 로고    scopus 로고
    • Lyapunov formulation of ISS cyclic-small-gain in continuous-time dynamic networks
    • T. Liu, D.J. Hill, and Z.P. Jiang Lyapunov formulation of ISS cyclic-small-gain in continuous-time dynamic networks Automatica 47 2011 2088 2093
    • (2011) Automatica , vol.47 , pp. 2088-2093
    • Liu, T.1    Hill, D.J.2    Jiang, Z.P.3
  • 23
    • 84355165942 scopus 로고    scopus 로고
    • Small-gain based output-feedback controller design for a class of nonlinear systems with actuator dynamic quantization
    • in press
    • Liu, T.; Jiang, Z.P.; Hill, D.J. (2011). Small-gain based output-feedback controller design for a class of nonlinear systems with actuator dynamic quantization. IEEE Transactions on Automatic Control, in press.
    • (2011) IEEE Transactions on Automatic Control
    • Liu, T.1    Jiang, Z.P.2    Hill, D.J.3
  • 24
    • 0028393268 scopus 로고
    • Qualitative modelling of linear dynamical systems with quantized state measurements
    • DOI 10.1016/0005-1098(94)90119-8
    • J. Lunze Qualitative modelling of linear dynamical systems with quantized state measurements Automatica 30 1994 417 431 (Pubitemid 124008000)
    • (1994) Automatica , vol.30 , Issue.3 , pp. 417-431
    • Lunze, J.1
  • 25
    • 39549095204 scopus 로고    scopus 로고
    • Input to state stability: Basic concepts and results
    • P. Nistri, G. Stefani, Springer-Verlag Berlin
    • E.D. Sontag Input to state stability: basic concepts and results P. Nistri, G. Stefani, Nonlinear and optimal control theory 2007 Springer-Verlag Berlin 163 220
    • (2007) Nonlinear and Optimal Control Theory , pp. 163-220
    • Sontag, E.D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.