Adaptive Fuzzy Fixed-Time Decentralized Control for Stochastic Nonlinear Systems

被引:85
作者
Li, Kewen [1 ]
Li, Yongming [2 ]
Zong, Guangdeng [3 ]
机构
[1] Qufu Normal Univ, Inst Automat, Qufu 273165, Shandong, Peoples R China
[2] Liaoning Univ Technol, Coll Sci, Jinzhou 121001, Peoples R China
[3] Qufu Normal Univ, Sch Engn, Rizhao 276826, Peoples R China
基金
中国国家自然科学基金;
关键词
Adaptive systems; Nonlinear systems; Decentralized control; Fuzzy logic; Stability analysis; Control design; Artificial neural networks; Adaptive fuzzy control; decentralized control; fixed-time control; stochastic interconnected nonlinear systems; OUTPUT-FEEDBACK CONTROL; LARGE-SCALE SYSTEMS; STABILITY; TRACKING; STABILIZATION; NETWORKS; DESIGN;
D O I
10.1109/TFUZZ.2020.3022570
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
This article studies the problem of adaptive fuzzy fixed-time decentralized control for nonlinear interconnected systems with stochastic disturbances and unknown nonlinearities. In control design, fuzzy logic systems are utilized to identify the unknown nonlinear functions. Combining stochastic fixed-time Lyapunov stability theory with adaptive backstepping control technique, a fuzzy adaptive fixed-time decentralized control design algorithm is developed by adopting smooth projection operator. It is proved that all the state variables of the closed-loop system are globally fixed-time stable in probability. Finally, both numerical and practical examples are provided to elucidate the feasibility of the proposed control algorithm.
引用
收藏
页码:3428 / 3440
页数:13
相关论文
共 45 条
[1]   NN Reinforcement Learning Adaptive Control for a Class of Nonstrict-Feedback Discrete-Time Systems [J].
Bai, Weiwei ;
Li, Tieshan ;
Tong, Shaocheng .
IEEE TRANSACTIONS ON CYBERNETICS, 2020, 50 (11) :4573-4584
[2]   Continuous finite-time stabilization of the translational and rotational double integrators [J].
Bhat, SP ;
Bernstein, DS .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1998, 43 (05) :678-682
[3]   Robust adaptive asymptotic tracking of nonlinear systems with additive disturbance [J].
Cai, Z ;
de Queiroz, MS ;
Dawson, DM .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2006, 51 (03) :524-529
[4]   A sufficiently smooth projection operator [J].
Cai, Z ;
de Queiroz, MS ;
Dawson, DM .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2006, 51 (01) :135-139
[5]   Adaptive Fuzzy Tracking Control for a Class of MIMO Nonlinear Systems in Nonstrict-Feedback Form [J].
Chen, Bing ;
Lin, Chong ;
Liu, Xiaoping ;
Liu, Kefu .
IEEE TRANSACTIONS ON CYBERNETICS, 2015, 45 (12) :2744-2755
[6]   Improvement on stability conditions for continuous-time T-S fuzzy systems [J].
Chen, Jun ;
Xu, Shengyuan ;
Li, Yongmin ;
Qi, Zhidong ;
Chu, Yuming .
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2016, 353 (10) :2218-2236
[7]   Further studies on stability and stabilization conditions for discrete-time T-S systems with the order relation information of membership functions [J].
Chen, Jun ;
Xu, Shengyuan ;
Li, Yongmin ;
Chu, Yuming ;
Zou, Yun .
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2015, 352 (12) :5796-5809
[8]   Adaptive Fuzzy Practical Fixed-Time Tracking Control of Nonlinear Systems [J].
Chen, Ming ;
Wang, Huanqing ;
Liu, Xiaoping .
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2021, 29 (03) :664-673
[9]   Adaptive Fault-Tolerant Control of Uncertain Nonlinear Large-Scale Systems With Unknown Dead Zone [J].
Chen, Mou ;
Tao, Gang .
IEEE TRANSACTIONS ON CYBERNETICS, 2016, 46 (08) :1851-1862
[10]   Globally Stable Adaptive Backstepping Neural Network Control for Uncertain Strict-Feedback Systems With Tracking Accuracy Known a Priori [J].
Chen, Weisheng ;
Ge, Shuzhi Sam ;
Wu, Jian ;
Gong, Maoguo .
IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2015, 26 (09) :1842-1854