Dynamic output feedback stabilization for a class of nonsmooth stochastic nonlinear systems perturbed by multiple time-varying delays

被引:1
作者
Jia, Jinping [1 ]
Dai, Hao [2 ]
Zhang, Fandi [1 ]
Huang, Jianwen [1 ,3 ]
机构
[1] Tianshui Normal Univ, Sch Math & Stat, Tianshui 741001, Peoples R China
[2] Xidian Univ, Sch Aerosp Sci & Technol, Xian 710071, Peoples R China
[3] Chongqing Normal Univ, Sch Math Sci, Chongqing 401331, Peoples R China
基金
中国国家自然科学基金;
关键词
Output feedback stabilization; Low-order nonlinearities; Stochastic nonlinear systems; State observer; Multiple time-varying delays; GLOBAL STABILIZATION; TRACKING CONTROL; STATE-FEEDBACK; STABILITY; DESIGN;
D O I
10.1007/s11071-024-09377-2
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
In this paper, the output feedback stabilization problem is investigated for a class of low-order stochastic nonlinear time-delay systems with the lower-triangular form, where the powers of chained integrators are arbitrary real numbers between 0 and 1, and the multiple time-vary delays act on each system state. Because of the existence of low-order nonlinear terms, the system is not feedback linearizable and differentiable. Based on an extended adding a power integrator approach and a stability theory of stochastic continuous systems, an output feedback controller is systematically designed to ensure the global strong asymptotic stability of the closed-loop system. In the controller design, the negative effect of the multiple time-varying delays is counteracted by skillfully constructing a novel Lyapunov-Krasovskii functional, and the observer gains are determined by developing a recursive selection procedure. Finally, two numerical examples are provided to verify the effectiveness of the proposed method.
引用
收藏
页码:7093 / 7111
页数:19
相关论文
共 59 条
[11]  
Hardy G., 1992, INEQUALITIES
[12]   An algorithmic introduction to numerical simulation of stochastic differential equations [J].
Higham, DJ .
SIAM REVIEW, 2001, 43 (03) :525-546
[13]   Backstepping Control for Nonlinear Systems With Time Delays and Applications to Chemical Reactor Systems [J].
Hua, Changchun ;
Liu, Peter X. ;
Guan, Xinping .
IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS, 2009, 56 (09) :3723-3732
[14]   Finite-time stabilization of a class of switched stochastic nonlinear systems under arbitrary switching [J].
Huang, Shipei ;
Xiang, Zhengrong .
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2016, 26 (10) :2136-2152
[15]  
IKEDA N., 2014, Stochastic Differential Equations and Diffusion Processes
[16]   Global stabilization of low-order stochastic nonlinear systems with multiple time-varying delays by a continuous feedback control [J].
Jia, Jinping ;
Dai, Hao ;
Zhang, Fandi ;
Huang, Jianwen .
APPLIED MATHEMATICS AND COMPUTATION, 2022, 429
[17]   Global stabilization of high-order nonlinear systems under multi-rate sampled-data control [J].
Jia, Jinping ;
Chen, Weisheng ;
Dai, Hao ;
Li, Jing .
NONLINEAR DYNAMICS, 2018, 94 (04) :2441-2453
[18]   Multirate sampled-data stabilization for a class of low-order lower-triangular nonlinear systems [J].
Jia, Jinping ;
Chen, Weisheng ;
Dai, Hao .
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2018, 28 (06) :2121-2130
[19]   SYSTEMATIC DESIGN OF ADAPTIVE CONTROLLERS FOR FEEDBACK LINEARIZABLE SYSTEMS [J].
KANELLAKOPOULOS, I ;
KOKOTOVIC, PV ;
MORSE, AS .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1991, 36 (11) :1241-1253
[20]  
Krasovskii N. N., 1959, STABILITY MOTION