Adaptive output feedback stabilization for switched p-normal nonlinear systems with unknown homogeneous growth rate

Abstract This paper investigates the problem of adaptive output feedback control for switched p -normal nonlinear systems with unknown homogeneous growth rate. A novel adaptive output feedback control scheme is first presented with the help of a dynamic gain technique, which renders the switched nonlinear systems with lower-triangular unknown homogeneous growth rate globally asymptotically stable. Then, the proposed control scheme can be extended to deal with a class of switched nonlinear systems with upper-triangular unknown homogeneous growth rate. Finally, two numerical examples are provided to verify the effectiveness of the proposed scheme.

[1]  J. Zhai,et al.  Global adaptive output feedback control for a class of nonlinear time-delay systems. , 2014, ISA transactions.

[2]  Huifang Min,et al.  Adaptive stabilization control for high-order nonlinear time-delay systems with its application , 2017, J. Frankl. Inst..

[3]  Zhen-Guo Liu,et al.  Universal strategies to explicit adaptive control of nonlinear time-delay systems with different structures , 2018, Autom..

[4]  Min Li,et al.  Adaptive neural network tracking control for a class of switched nonlinear systems with input delay , 2019, Neurocomputing.

[5]  Ju H. Park,et al.  Robust static output feedback H∞ control design for linear systems with polytopic uncertainties , 2015, Syst. Control. Lett..

[6]  Jianlong Qiu,et al.  Output tracking control of delayed switched systems via state-dependent switching and dynamic output feedback , 2019, Nonlinear Analysis: Hybrid Systems.

[7]  Yang Yi,et al.  Adaptive neural dynamic surface control of strict-feedback nonlinear systems with full state constraints and unmodeled dynamics , 2017, Autom..

[8]  Junyong Zhai,et al.  Dynamic Output-Feedback Control for Nonlinear Time-Delay Systems and Applications to Chemical Reactor Systems , 2019, IEEE Transactions on Circuits and Systems II: Express Briefs.

[9]  Yungang Liu,et al.  Global output‐feedback stabilization for high‐order nonlinear systems with unknown growth rate , 2017 .

[10]  Qinzhen Huang,et al.  Observer‐based H∞ control for Markovian jump systems with time‐varying delays and incomplete transition rates , 2018, International Journal of Robust and Nonlinear Control.

[11]  Wei Xing Zheng,et al.  Global adaptive output-feedback stabilization for a class of uncertain nonlinear systems with unknown growth rate and unknown output function , 2019, Automatica.

[12]  Junyong Zhai,et al.  Practical output tracking control for switched nonlinear systems: A dynamic gain based approach , 2018, Nonlinear Analysis: Hybrid Systems.

[13]  Shaocheng Tong,et al.  Adaptive Fuzzy Output Feedback Control for a Class of Nonlinear Systems With Full State Constraints , 2018, IEEE Transactions on Fuzzy Systems.

[14]  Bing Chen,et al.  Output-feedback control design for switched nonlinear systems: Adaptive neural backstepping approach , 2018, Inf. Sci..

[15]  Hamid Reza Karimi,et al.  Universal adaptive control for uncertain nonlinear systems via output feedback , 2019, Inf. Sci..

[16]  Wei Xing Zheng,et al.  Adaptive output‐feedback tracking for nonlinear systems with rather general control coefficients , 2019, International Journal of Robust and Nonlinear Control.

[17]  A. Bacciotti,et al.  Liapunov functions and stability in control theory , 2001 .

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

[19]  Shuzhi Sam Ge,et al.  Neural Network Control of a Rehabilitation Robot by State and Output Feedback , 2015, J. Intell. Robotic Syst..

[20]  Yungang Liu,et al.  Global stabilization for feedforward nonlinear systems with unknown control direction and unknown growth rate , 2018, Syst. Control. Lett..

[21]  Shaocheng Tong,et al.  Fuzzy adaptive output feedback control for a class of switched non-triangular structure nonlinear systems with time-varying delays , 2018, Int. J. Syst. Sci..

[22]  C. Qian,et al.  A generalized homogeneous domination approach for global stabilization of inherently nonlinear systems via output feedback , 2007 .

[23]  Jong-Tae Lim,et al.  Stabilization of a class of nonlinear systems by adaptive output feedback , 2005, Autom..

[24]  Yajuan Liu,et al.  Asynchronous output feedback dissipative control of Markovian jump systems with input time delay and quantized measurements , 2019, Nonlinear Analysis: Hybrid Systems.

[25]  Hamid Reza Karimi,et al.  Global output feedback control for a class of nonlinear systems with unknown homogenous growth condition , 2019, International Journal of Robust and Nonlinear Control.