Finite-time output feedback control for a class of stochastic low-order nonlinear systems

ABSTRACT This paper discusses the problem of finite-time stabilisation for a class of stochastic low-order nonlinear systems via output feedback. By generalising the adding a power integrator technique, constructing an implementable reduced-order observer and using the stochastic finite-time stability criterion, a finite-time output feedback controller is presented to guarantee that the closed-loop system is finite-time stable in probability. A simulation example is provided to verify the effectiveness of the proposed design method.

[1]  Huawei Niu,et al.  Global output-feedback finite-time stabilization for a class of stochastic nonlinear cascaded systems , 2017, Kybernetika.

[2]  Guang-Ren Duan,et al.  Finite-time H∞ filtering for non-linear stochastic systems , 2016, Int. J. Syst. Sci..

[3]  Zhengrong Xiang,et al.  Finite‐time stabilization of a class of switched stochastic nonlinear systems under arbitrary switching , 2016 .

[4]  Kemei Zhang,et al.  Finite‐time output feedback stabilization of nonlinear high‐order feedforward systems , 2016 .

[5]  Kemei Zhang,et al.  A new approach to finite-time adaptive stabilization of high-order uncertain nonlinear system , 2015, Autom..

[6]  S. Khoo,et al.  Continuous finite‐time state feedback stabilizers for some nonlinear stochastic systems , 2015 .

[7]  Hui Wang,et al.  Finite-time stabilization of high-order stochastic nonlinear systems in strict-feedback form , 2015, Autom..

[8]  Suiyang Khoo,et al.  Global finite-time stabilisation for a class of stochastic nonlinear systems by output feedback , 2015, Int. J. Control.

[9]  Fuad E. Alsaadi,et al.  Adaptive partial-state feedback control for stochastic high-order nonlinear systems with stochastic input-to-state stable inverse dynamics , 2015, Autom..

[10]  Wei Xing Zheng,et al.  Finite-time stochastic stabilisation of Markovian jump non-linear quadratic systems with partially known transition probabilities , 2014 .

[11]  Z. Ya.  GLOBAL FINITE-TIME STABILIZATION BY STATE FEEDBACK FOR A CLASS OF STOCHASTIC NONLINEAR SYSTEMS , 2014 .

[12]  Cong-Ran Zhao,et al.  Global stabilization of stochastic high-order feedforward nonlinear systems with time-varying delay , 2014, Autom..

[13]  Zhihong Man,et al.  Finite-time stabilization of stochastic nonlinear systems in strict-feedback form , 2013, Autom..

[14]  Liang Liu,et al.  State feedback stabilization for stochastic feedforward nonlinear systems with time-varying delay , 2013, Autom..

[15]  Peng Shi,et al.  Modeling and adaptive tracking for a class of stochastic Lagrangian control systems , 2013, Autom..

[16]  Hamid Reza Karimi,et al.  Stability of Stochastic Nonlinear Systems With State-Dependent Switching , 2013, IEEE Transactions on Automatic Control.

[17]  Cong-Ran Zhao,et al.  Output Feedback Stabilization Using Small-Gain Method and Reduced-Order Observer for Stochastic Nonlinear Systems , 2013, IEEE Transactions on Automatic Control.

[18]  Liang Liu,et al.  A Homogeneous Domination Approach to State Feedback of Stochastic High-Order Nonlinear Systems With Time-Varying Delay , 2013, IEEE Transactions on Automatic Control.

[19]  Fangzheng Gao,et al.  Finite-Time Stabilization of Stochastic Nonholonomic Systems and Its Application to Mobile Robot , 2012 .

[20]  Liang Liu,et al.  Further results on output feedback stabilization for stochastic high-order nonlinear systems with time-varying delay , 2012, Autom..

[21]  Gang Feng,et al.  Finite-time stabilization by state feedback control for a class of time-varying nonlinear systems , 2012, Autom..

[22]  Yuehua Huang,et al.  Global finite-time stabilisation for a class of nonlinear systems , 2012, Int. J. Syst. Sci..

[23]  Zhihong Man,et al.  Finite-time stability and instability of stochastic nonlinear systems , 2011, Autom..

[24]  Liang Liu,et al.  Output-feedback stabilization for stochastic high-order nonlinear systems with time-varying delay , 2011, Autom..

[25]  Xue-Jun Xie,et al.  Output-Feedback Stabilization of Stochastic High-Order Nonlinear Systems under Weaker Conditions , 2011, SIAM J. Control. Optim..

[26]  Xin Yu,et al.  State-Feedback Control of High-Order Stochastic Nonlinear Systems with SiISS Inverse Dynamics , 2011, IEEE Transactions on Automatic Control.

[27]  Licheng Jiao,et al.  Finite-time stability theorem of stochastic nonlinear systems , 2010, Autom..

[28]  Ji Li,et al.  Global finite-time stabilisation by output feedback for a class of uncertain nonlinear systems , 2010, Int. J. Control.

[29]  Fei Liu,et al.  Finite-time filtering for non-linear stochastic systems with partially known transition jump rates , 2010 .

[30]  Xin Yu,et al.  Output Feedback Regulation of Stochastic Nonlinear Systems With Stochastic iISS Inverse Dynamics , 2010, IEEE Transactions on Automatic Control.

[31]  Xue-Jun Xie,et al.  Output-feedback control of a class of high-order stochastic nonlinear systems , 2009, Int. J. Control.

[32]  Jie Tian,et al.  Adaptive state-feedback stabilization of high-order stochastic systems with nonlinear parameterization , 2009, Autom..

[33]  Wilfrid Perruquetti,et al.  Finite time stability conditions for non-autonomous continuous systems , 2008, Int. J. Control.

[34]  Xue-Jun Xie,et al.  Adaptive backstepping controller design using stochastic small-gain theorem , 2007, Autom..

[35]  Zhong-Ping Jiang,et al.  Decentralized adaptive output-feedback stabilization for large-scale stochastic nonlinear systems , 2007, Autom..

[36]  Zhong-Ping Jiang,et al.  Finite-Time Stabilization of Nonlinear Systems With Parametric and Dynamic Uncertainties , 2006, IEEE Transactions on Automatic Control.

[37]  Chunjiang Qian,et al.  Global finite-time stabilization by dynamic output feedback for a class of continuous nonlinear systems , 2006, IEEE Transactions on Automatic Control.

[38]  Wei Lin,et al.  Global finite-time stabilization of a class of uncertain nonlinear systems , 2005, Autom..

[39]  Yiguang Hong,et al.  Finite time stabilization for a class of nonlinear systems , 2004, ICARCV 2004 8th Control, Automation, Robotics and Vision Conference, 2004..

[40]  Yiguang Hong,et al.  Finite-time stabilization and stabilizability of a class of controllable systems , 2002, Syst. Control. Lett..

[41]  Dennis S. Bernstein,et al.  Finite-Time Stability of Continuous Autonomous Systems , 2000, SIAM J. Control. Optim..