Sampled‐data output feedback stabilization for a class of switched stochastic nonlinear systems

This paper investigates a global sampled‐data output feedback stabilization problem for a class of switched stochastic nonlinear systems whose output and system mode are available only at the sampling instants. An observer is designed to estimate the unmeasurable state and thus a sampled‐data controller is constructed with the sampled estimated state. As a distinctive feature, a merging virtual switching signal is introduced to describe the asynchronous switching generated by detecting the system mode via a sampler. By choosing an appropriate piecewise Lyapunov function, it is proved that the proposed sampled‐data controller with allowable sampling period can stabilize the considered switched stochastic nonlinear systems under an average dwell‐time condition. Finally, two simulation results are presented to illustrate the effectiveness of the proposed method.

[1]  Junsheng Ren,et al.  Adaptive fuzzy robust tracking controller design via small gain approach and its application , 2003, IEEE Trans. Fuzzy Syst..

[2]  Xiaoming Hu,et al.  Distributed sampled-data control of nonholonomic multi-robot systems with proximity networks , 2017, Autom..

[3]  Hui Ye,et al.  Sampled‐data output feedback stabilization for a class of p‐norm switched stochastic nonlinear systems , 2019, Asian Journal of Control.

[4]  Guangdeng Zong,et al.  Adaptive Neural Tracking Control for Switched High-Order Stochastic Nonlinear Systems , 2017, IEEE Transactions on Cybernetics.

[5]  Jun Fu,et al.  Sampled-data-based stabilization of switched linear neutral systems , 2016, Autom..

[6]  Shihua Li,et al.  Global output‐feedback stabilization for a class of stochastic nonlinear systems via sampled‐data control , 2017 .

[7]  Shihua Li,et al.  Global Stabilization via Sampled-Data Output Feedback for a Class of Linearly Uncontrollable and Unobservable Systems , 2016, IEEE Transactions on Automatic Control.

[8]  Shaocheng Tong,et al.  Barrier Lyapunov functions for Nussbaum gain adaptive control of full state constrained nonlinear systems , 2017, Autom..

[9]  Shugang Li,et al.  Adaptive Neural Output Feedback Control for Nonstrict-Feedback Stochastic Nonlinear Systems With Unknown Backlash-Like Hysteresis and Unknown Control Directions , 2018, IEEE Transactions on Neural Networks and Learning Systems.

[10]  V. I. Korobov,et al.  Global properties of the triangular systems in the singular case , 2008 .

[11]  Peter Xiaoping Liu,et al.  Observer-Based Fuzzy Adaptive Output-Feedback Control of Stochastic Nonlinear Multiple Time-Delay Systems , 2017, IEEE Transactions on Cybernetics.

[12]  Daoyuan Zhang,et al.  Global output feedback sampled‐data stabilization for upper‐triangular nonlinear systems with improved maximum allowable transmission delay , 2017 .

[13]  Yongming Li,et al.  Adaptive output-feedback control design with prescribed performance for switched nonlinear systems , 2017, Autom..

[14]  Jian Sun,et al.  Robust sampled‐data control for Itô stochastic Markovian jump systems with state delay , 2018, International Journal of Robust and Nonlinear Control.

[15]  L. Fu,et al.  Robust Output Feedback Stabilization of Switched Nonlinear Systems with Average Dwell Time , 2014 .

[16]  Ming-Li Chiang,et al.  Adaptive stabilization of a class of uncertain switched nonlinear systems with backstepping control , 2014, Autom..

[17]  Daniel Liberzon,et al.  Switching in Systems and Control , 2003, Systems & Control: Foundations & Applications.

[18]  Peng Shi,et al.  Adaptive tracking control for switched stochastic nonlinear systems with unknown actuator dead-zone , 2015, Autom..

[19]  Kristi A. Morgansen,et al.  Stability of Time-Delay Feedback Switched Linear Systems , 2010, IEEE Transactions on Automatic Control.

[20]  Lu Bai,et al.  Adaptive Neural Control of Uncertain Nonstrict-Feedback Stochastic Nonlinear Systems with Output Constraint and Unknown Dead Zone , 2017, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[21]  Shaocheng Tong,et al.  Adaptive Fuzzy Output Constrained Control Design for Multi-Input Multioutput Stochastic Nonstrict-Feedback Nonlinear Systems , 2017, IEEE Transactions on Cybernetics.

[22]  Junyong Zhai,et al.  Global sampled-data output feedback stabilisation for a class of nonlinear systems with unknown output function , 2016, Int. J. Control.

[23]  H. Piaggio.  Mathematical Analysis , 1955, Nature.

[24]  Chunjiang Qian,et al.  Global Output Feedback Stabilization of a Class of Nonlinear Systems via Linear Sampled-Data Control , 2012, IEEE Transactions on Automatic Control.

[25]  Jie Chen,et al.  Passivity-Based Robust Sampled-Data Control for Markovian Jump Systems , 2020, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[26]  Shaocheng Tong,et al.  Adaptive Fuzzy Output-Constrained Fault-Tolerant Control of Nonlinear Stochastic Large-Scale Systems With Actuator Faults , 2017, IEEE Transactions on Cybernetics.

[27]  Shaocheng Tong,et al.  Observer-Based Adaptive Fuzzy Control for Switched Stochastic Nonlinear Systems With Partial Tracking Errors Constrained , 2016, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[28]  Reza Shahnazi,et al.  Fuzzy Adaptive Tracking Control of Constrained Nonlinear Switched Stochastic Pure-Feedback Systems , 2017, IEEE Transactions on Cybernetics.

[29]  Wei Lin,et al.  Global Stabilization of a Class of Nonminimum-Phase Nonlinear Systems by Sampled-Data Output Feedback , 2016, IEEE Transactions on Automatic Control.

[30]  Junyong Zhai,et al.  Global practical tracking for a class of uncertain nonlinear systems via sampled-data control , 2015, Appl. Math. Comput..

[31]  Yigang He,et al.  Global sampled-data output feedback stabilisation of a class of upper-triangular systems with input delay , 2013 .

[32]  Ding Zhai,et al.  Prescribed Performance Switched Adaptive Dynamic Surface Control of Switched Nonlinear Systems With Average Dwell Time , 2017, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[33]  Ho Jae Lee,et al.  Robust sampled-data fuzzy control of nonlinear systems with parametric uncertainties: Its application to depth control of autonomous underwater vehicles , 2012, International Journal of Control, Automation and Systems.

[34]  Hamid Reza Karimi,et al.  Adaptive Output-Feedback Controller Design for Switched Nonlinear Stochastic Systems With a Modified Average Dwell-Time Method , 2017, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[35]  Peter Xiaoping Liu,et al.  Backstepping Control for Nonlinear Systems With Time Delays and Applications to Chemical Reactor Systems , 2009, IEEE Transactions on Industrial Electronics.

[36]  Shi Li,et al.  Global Stabilization of a Class of Switched Nonlinear Systems Under Sampled-Data Control , 2019, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[37]  Liang Liu,et al.  Adaptive tracking control for a class of uncertain switched nonlinear systems , 2015, Autom..

[38]  C. L. Philip Chen,et al.  Adaptive backstepping-based tracking control of a class of uncertain switched nonlinear systems , 2018, Autom..

[39]  Ding Zhai,et al.  Adaptive Tracking Control for a Class of Switched Nonlinear Systems Under Asynchronous Switching , 2018, IEEE Transactions on Fuzzy Systems.

[40]  Gang Feng,et al.  Robust adaptive output feedback control to a class of non-triangular stochastic nonlinear systems , 2018, Autom..

[41]  Shuzhi Sam Ge,et al.  Adaptive Control of a Flexible Crane System With the Boundary Output Constraint , 2014, IEEE Transactions on Industrial Electronics.

[42]  Guang-Ren Duan,et al.  Global stabilization of switched stochastic nonlinear systems in strict-feedback form under arbitrary switchings , 2013, Autom..

[43]  Jun Zhao,et al.  Output feedback stabilization for a general class of nonlinear systems via sampled‐data control , 2018 .

[44]  Shuzhi Sam Ge,et al.  Robust adaptive control of a thruster assisted position mooring system , 2014, Autom..

[45]  Daoyuan Zhang,et al.  Continuous Sampled-Data Observer Design for Nonlinear Systems With Time Delay Larger or Smaller Than the Sampling Period , 2017, IEEE Transactions on Automatic Control.

[46]  Chunjiang Qian,et al.  Global practical tracking of a class of nonlinear systems using linear sampled-data control , 2015, Int. J. Control.