메뉴 건너뛰기




Volumn 57, Issue 7, 2014, Pages 1-14

Further results on state feedback stabilization of stochastic high-order nonlinear systems

Author keywords

homogeneous domination method; sign function; state feedback; stochastic high order nonlinear systems; time varying delay

Indexed keywords

NONLINEAR SYSTEMS; STATE FEEDBACK; TIME VARYING CONTROL SYSTEMS;

EID: 84891646754     PISSN: 1674733X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11432-013-5056-6     Document Type: Article
Times cited : (23)

References (39)
  • 2
    • 0033078190 scopus 로고    scopus 로고
    • Output-feedback stochastic nonlinear stabilization
    • Deng H, Krstić M. Output-feedback stochastic nonlinear stabilization. IEEE Trans Automat Contr, 1999, 44: 328-333.
    • (1999) IEEE Trans Automat Contr , vol.44 , pp. 328-333
    • Deng, H.1    Krstić, M.2
  • 3
    • 0344182421 scopus 로고    scopus 로고
    • Backstepping controller design for nonlinear stochastic systems under a risk-sensitive cost criterion
    • Pan Z G, Basar T. Backstepping controller design for nonlinear stochastic systems under a risk-sensitive cost criterion. SIAM J Contr Optimizat, 1999, 37: 957-995.
    • (1999) SIAM J Contr Optimizat , vol.37 , pp. 957-995
    • Pan, Z.G.1    Basar, T.2
  • 4
    • 0035417611 scopus 로고    scopus 로고
    • Stabilization of stochastic nonlinear systems driven by noise of unknown covariance
    • Deng H, Krstić M, Williams R J. Stabilization of stochastic nonlinear systems driven by noise of unknown covariance. IEEE Trans Automat Contr, 2001, 46: 1237-1253.
    • (2001) IEEE Trans Automat Contr , vol.46 , pp. 1237-1253
    • Deng, H.1    Krstić, M.2    Williams, R.J.3
  • 5
    • 0037351967 scopus 로고    scopus 로고
    • Output feedback control design for strict-feedback stochastic nonlinear systems under a risk-sensitive cost
    • Liu Y G, Pan Z G, Shi S J. Output feedback control design for strict-feedback stochastic nonlinear systems under a risk-sensitive cost. IEEE Trans Automat Contr, 2003, 48: 509-514.
    • (2003) IEEE Trans Automat Contr , vol.48 , pp. 509-514
    • Liu, Y.G.1    Pan, Z.G.2    Shi, S.J.3
  • 6
    • 33845940966 scopus 로고    scopus 로고
    • Practical output-feedback risk-sensitive control for stochastic nonlinear systems with stable zero-dynamics
    • Liu Y G, Zhang J F. Practical output-feedback risk-sensitive control for stochastic nonlinear systems with stable zero-dynamics. SIAM J Contr Optimizat, 2006, 45: 885-926.
    • (2006) SIAM J Contr Optimizat , vol.45 , pp. 885-926
    • Liu, Y.G.1    Zhang, J.F.2
  • 7
    • 33747613536 scopus 로고    scopus 로고
    • Stochastic adaptive backstepping controller design by introducing dynamic signal and changing supply function
    • Wu Z J, Xie X J, Zhang S Y. Stochastic adaptive backstepping controller design by introducing dynamic signal and changing supply function. Int J Contr, 2006, 79: 1635-1646.
    • (2006) Int J Contr , vol.79 , pp. 1635-1646
    • Wu, Z.J.1    Xie, X.J.2    Zhang, S.Y.3
  • 8
    • 33847396396 scopus 로고    scopus 로고
    • Adaptive backstepping controller design using stochastic small-gain theorem
    • Wu Z J, Xie X J, Zhang S Y. Adaptive backstepping controller design using stochastic small-gain theorem. Automatica, 2007, 43: 608-620.
    • (2007) Automatica , vol.43 , pp. 608-620
    • Wu, Z.J.1    Xie, X.J.2    Zhang, S.Y.3
  • 9
    • 33845961001 scopus 로고    scopus 로고
    • Decentralized adaptive output-feedback stabilization for large-scale stochastic nonlinear systems
    • Liu S J, Zhang J F, Jiang Z P. Decentralized adaptive output-feedback stabilization for large-scale stochastic nonlinear systems. Automatica, 2007, 43: 238-251.
    • (2007) Automatica , vol.43 , pp. 238-251
    • Liu, S.J.1    Zhang, J.F.2    Jiang, Z.P.3
  • 10
    • 41849151113 scopus 로고    scopus 로고
    • Output-feedback control of a class of stochastic nonlinear systems with linearly bounded unmeasurable states
    • Liu S J, Zhang J F. Output-feedback control of a class of stochastic nonlinear systems with linearly bounded unmeasurable states. Int J Robust Nonlinear Contr, 2008, 18: 665-687.
    • (2008) Int J Robust Nonlinear Contr , vol.18 , pp. 665-687
    • Liu, S.J.1    Zhang, J.F.2
  • 11
    • 47249158611 scopus 로고    scopus 로고
    • Global output-feedback stabilization for a class of stochastic non-minimum phase nonlinear systems
    • Liu S J, Jiang Z P, Zhang J F. Global output-feedback stabilization for a class of stochastic non-minimum phase nonlinear systems. Automatica, 2008, 44: 1944-1957.
    • (2008) Automatica , vol.44 , pp. 1944-1957
    • Liu, S.J.1    Jiang, Z.P.2    Zhang, J.F.3
  • 12
    • 46149084238 scopus 로고    scopus 로고
    • Adaptive output-feedback control for a class of uncertain stochastic nonlinear systems with time delays
    • Liu S J, Ge S Z, Zhang J F. Adaptive output-feedback control for a class of uncertain stochastic nonlinear systems with time delays. Int J Contr, 2008, 81: 1210-1220.
    • (2008) Int J Contr , vol.81 , pp. 1210-1220
    • Liu, S.J.1    Ge, S.Z.2    Zhang, J.F.3
  • 13
    • 76949109048 scopus 로고    scopus 로고
    • Output feedback regulation of stochastic nonlinear systems with stochastic iISS inverse dynamics
    • Yu X, Xie X J. Output feedback regulation of stochastic nonlinear systems with stochastic iISS inverse dynamics. IEEE Trans Automat Contr, 2010, 55: 304-320.
    • (2010) IEEE Trans Automat Contr , vol.55 , pp. 304-320
    • Yu, X.1    Xie, X.J.2
  • 14
    • 78049281356 scopus 로고    scopus 로고
    • Small-gain control method for stochastic nonlinear systems with stochastic iISS inverse dynamics
    • Yu X, Xie X J, Duan N. Small-gain control method for stochastic nonlinear systems with stochastic iISS inverse dynamics. Automatica, 2010, 46: 1790-1798.
    • (2010) Automatica , vol.46 , pp. 1790-1798
    • Yu, X.1    Xie, X.J.2    Duan, N.3
  • 15
    • 77957160305 scopus 로고    scopus 로고
    • Further results on output-feedback regulation of stochastic nonlinear systems with SiISS inverse dynamics
    • Yu X, Xie X J, Wu Y Q. Further results on output-feedback regulation of stochastic nonlinear systems with SiISS inverse dynamics. Int J Contr, 2010, 83: 2140-2152.
    • (2010) Int J Contr , vol.83 , pp. 2140-2152
    • Yu, X.1    Xie, X.J.2    Wu, Y.Q.3
  • 16
    • 77952584977 scopus 로고    scopus 로고
    • Adaptive NN backstepping output-feedback control for stochastic nonlinear strictfeedback systems with time-varying delays
    • Chen W S, Jiao L C, Li J, et al. Adaptive NN backstepping output-feedback control for stochastic nonlinear strictfeedback systems with time-varying delays. IEEE Trans Syst Man Cybern Part B-Cybern, 2010, 40: 939-950.
    • (2010) IEEE Trans Syst Man Cybern Part B-Cybern , vol.40 , pp. 939-950
    • Chen, W.S.1    Jiao, L.C.2    Li, J.3
  • 17
    • 79955887928 scopus 로고    scopus 로고
    • Further results on output-feedback stabilization for a class of stochastic nonlinear systems
    • Duan N, Xie X J. Further results on output-feedback stabilization for a class of stochastic nonlinear systems. IEEE Trans Automat Contr, 2011, 56: 1208-1213.
    • (2011) IEEE Trans Automat Contr , vol.56 , pp. 1208-1213
    • Duan, N.1    Xie, X.J.2
  • 18
    • 84873859250 scopus 로고    scopus 로고
    • Output feedback stabilization using small-gain method and reduced-order observer for stochastic nonlinear systems
    • Zhao C R, Xie X J. Output feedback stabilization using small-gain method and reduced-order observer for stochastic nonlinear systems. IEEE Trans Automat Contr, 2013, 58: 523-529.
    • (2013) IEEE Trans Automat Contr , vol.58 , pp. 523-529
    • Zhao, C.R.1    Xie, X.J.2
  • 20
    • 23944490081 scopus 로고    scopus 로고
    • A homogeneous domination approach for global output feedback stabilization of a class of nonlinear system
    • Qian C J. A homogeneous domination approach for global output feedback stabilization of a class of nonlinear system. In: American Control Conference, Portland, 2005. 4708-4715.
    • (2005) American Control Conference, Portland , pp. 4708-4715
    • Qian, C.J.1
  • 21
    • 34247260940 scopus 로고    scopus 로고
    • A generalized homogeneous domination approach for global stabilization of inherently nonlinear systems via output feedback
    • Polendo J, Qian C J. A generalized homogeneous domination approach for global stabilization of inherently nonlinear systems via output feedback. Int J Robust Nonlinear Contr, 2007, 17: 605-629.
    • (2007) Int J Robust Nonlinear Contr , vol.17 , pp. 605-629
    • Polendo, J.1    Qian, C.J.2
  • 24
    • 34548768693 scopus 로고    scopus 로고
    • State-feedback stabilization for high-order stochastic nonlinear systems with stochastic inverse dynamics
    • Xie X J, Tian J. State-feedback stabilization for high-order stochastic nonlinear systems with stochastic inverse dynamics. Int J Robust Nonlinear Contr, 2007, 17: 1343-1362.
    • (2007) Int J Robust Nonlinear Contr , vol.17 , pp. 1343-1362
    • Xie, X.J.1    Tian, J.2
  • 25
    • 34648846696 scopus 로고    scopus 로고
    • Adaptive state-feedback stabilization for high-order stochastic nonlinear systems with uncertain control coefficients
    • Tian J, Xie X J. Adaptive state-feedback stabilization for high-order stochastic nonlinear systems with uncertain control coefficients. Int J Contr, 2007, 80: 1503-1516.
    • (2007) Int J Contr , vol.80 , pp. 1503-1516
    • Tian, J.1    Xie, X.J.2
  • 26
    • 57949084965 scopus 로고    scopus 로고
    • Adaptive state-feedback stabilization of high-order stochastic systems with nonlinear parameterization
    • Xie X J, Tian J. Adaptive state-feedback stabilization of high-order stochastic systems with nonlinear parameterization. Automatica, 2009, 45: 126-133.
    • (2009) Automatica , vol.45 , pp. 126-133
    • Xie, X.J.1    Tian, J.2
  • 27
    • 84863011791 scopus 로고    scopus 로고
    • State-feedback stabilization for stochastic high-order nonlinear systems with SISS inverse dynamics
    • Liu L, Xie X J. State-feedback stabilization for stochastic high-order nonlinear systems with SISS inverse dynamics. Asian J Control, 2012, 14: 207-216.
    • (2012) Asian J Control , vol.14 , pp. 207-216
    • Liu, L.1    Xie, X.J.2
  • 28
    • 68949159947 scopus 로고    scopus 로고
    • Output-feedback control of a class of high-order stochastic nonlinear systems
    • Xie X J, Li W Q. Output-feedback control of a class of high-order stochastic nonlinear systems. Int J Contr, 2009, 82: 1692-1705.
    • (2009) Int J Contr , vol.82 , pp. 1692-1705
    • Xie, X.J.1    Li, W.Q.2
  • 29
    • 84867894502 scopus 로고    scopus 로고
    • State-feedback stabilization for a class of stochastic time-delay nonlinear systems
    • Chen W S, Wu J. State-feedback stabilization for a class of stochastic time-delay nonlinear systems. Int J Robust Nonlinear Contr, 2012, 22: 1921-1937.
    • (2012) Int J Robust Nonlinear Contr , vol.22 , pp. 1921-1937
    • Chen, W.S.1    Wu, J.2
  • 30
    • 81155148184 scopus 로고    scopus 로고
    • Output-feedback stabilization for stochastic high-order nonlinear systems with time-varying delay
    • Liu L, Xie X J. Output-feedback stabilization for stochastic high-order nonlinear systems with time-varying delay. Automatica, 2011, 47: 2772-2779.
    • (2011) Automatica , vol.47 , pp. 2772-2779
    • Liu, L.1    Xie, X.J.2
  • 31
    • 80051479194 scopus 로고    scopus 로고
    • State-feedback control of high-order stochastic nonlinear systems with SiISS inverse dynamics
    • Xie X J, Duan N, Yu X. State-feedback control of high-order stochastic nonlinear systems with SiISS inverse dynamics. IEEE Trans Automat Contr, 2011, 56: 1921-1926.
    • (2011) IEEE Trans Automat Contr , vol.56 , pp. 1921-1926
    • Xie, X.J.1    Duan, N.2    Yu, X.3
  • 32
    • 58349090878 scopus 로고    scopus 로고
    • Inverse optimal stabilization for stochastic nonlinear systems whose linearizations are not stabilizable
    • Li W Q, Xie X J. Inverse optimal stabilization for stochastic nonlinear systems whose linearizations are not stabilizable. Automatica, 2009, 45: 498-503.
    • (2009) Automatica , vol.45 , pp. 498-503
    • Li, W.Q.1    Xie, X.J.2
  • 33
    • 77949283657 scopus 로고    scopus 로고
    • Output-feedback stabilization for stochastic nonlinear systems whose linearizations are not stabilizable
    • Li W Q, Jing Y W, Zhang S Y. Output-feedback stabilization for stochastic nonlinear systems whose linearizations are not stabilizable. Automatica, 2010, 46: 752-760.
    • (2010) Automatica , vol.46 , pp. 752-760
    • Li, W.Q.1    Jing, Y.W.2    Zhang, S.Y.3
  • 34
    • 79960367156 scopus 로고    scopus 로고
    • Output-feedback stabilization of stochastic high-order nonlinear systems under weaker conditions
    • Li W Q, Xie X J, Zhang S Y. Output-feedback stabilization of stochastic high-order nonlinear systems under weaker conditions. SIAM J Contr Optimizat, 2011, 49: 1262-1282.
    • (2011) SIAM J Contr Optimizat , vol.49 , pp. 1262-1282
    • Li, W.Q.1    Xie, X.J.2    Zhang, S.Y.3
  • 35
    • 84865455569 scopus 로고    scopus 로고
    • Further result on output feedback stabilization for stochastic high-order nonlinear systems with time-varying delay
    • Xie X J, Liu L. Further result on output feedback stabilization for stochastic high-order nonlinear systems with time-varying delay. Automatica, 2012, 48: 2577-2586.
    • (2012) Automatica , vol.48 , pp. 2577-2586
    • Xie, X.J.1    Liu, L.2
  • 36
    • 84873854159 scopus 로고    scopus 로고
    • A homogeneous domination approach to state feedback of stochastic high-order nonlinear systems with time-varying delay
    • Xie X J, Liu L. A homogeneous domination approach to state feedback of stochastic high-order nonlinear systems with time-varying delay. IEEE Trans Automat Contr, 2013, 58: 494-499.
    • (2013) IEEE Trans Automat Contr , vol.58 , pp. 494-499
    • Xie, X.J.1    Liu, L.2
  • 37
    • 33744795187 scopus 로고    scopus 로고
    • Global output feedback stabilization of upper-triangular nonlinear systems using a homogeneous domination approach
    • Qian C J, Li J. Global output feedback stabilization of upper-triangular nonlinear systems using a homogeneous domination approach. Int J Robust Nonlinear Contr, 2006, 16: 441-463.
    • (2006) Int J Robust Nonlinear Contr , vol.16 , pp. 441-463
    • Qian, C.J.1    Li, J.2
  • 38
    • 63849141438 scopus 로고    scopus 로고
    • Robust control of uncertain systems with polynomial nonlinearity by output feedback
    • Lei H, Lin W. Robust control of uncertain systems with polynomial nonlinearity by output feedback. Int J Robust Nonlinear Contr, 2009, 19: 692-723.
    • (2009) Int J Robust Nonlinear Contr , vol.19 , pp. 692-723
    • Lei, H.1    Lin, W.2
  • 39
    • 0004178386 scopus 로고    scopus 로고
    • Beijing: Publishing House of Electronics Industry
    • Khalil H K. Nonlinear Systems. Beijing: Publishing House of Electronics Industry, 2007.
    • (2007) Nonlinear Systems
    • Khalil, H.K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.