Dynamic State Feedback Stabilization of Stochastic Cascade Nonlinear Time-Delay Systems With SISS Inverse Dynamics

被引：39
|
作者：
Xie, Xue-Jun [1 ]
Jiang, Mengmeng [2 ]
机构：
[1] Qufu Normal Univ, Inst Automat, Qufu 273165, Shandong, Peoples R China
[2] Liaocheng Univ, Sch Math Sci, Liaocheng 252000, Shandong, Peoples R China
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2019年 / 64卷 / 12期
基金：
中国国家自然科学基金;
关键词：
State feedback; Nonlinear dynamical systems; Asymptotic stability; Stability criteria; Closed loop systems; Control design; Asymptotical stabilization; stochastic cascade nonlinear time-delay systems; stochastic input-to-state stability (SISS) inverse dynamics; state feedback; TRACKING CONTROL; STABILITY;
D O I：
10.1109/TAC.2019.2910166
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper investigates state feedback stabilization problem of a class of stochastic cascade nonlinear time-delay systems with stochastic inverse dynamics. By characterizing unmeasured stochastic inverse dynamics with stochastic input-to-state stability condition, without imposing any growth condition on time-delay system nonlinearities, a delay-independent, dynamic state feedback controller is constructed. It is shown that the equilibrium at the origin of the closed-loop system is globally asymptotically stable in probability.
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页码：5132 / 5139
页数：8
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