Finite-time control for periodic systems with Markov jump sensor nonlinearities and random input gains

被引:8
作者
Rao, Hong-Xia [1 ,2 ]
Xu, Yong [1 ,2 ]
Liu, Chang [1 ,2 ]
Li, Jun-Yi [1 ,2 ]
机构
[1] Guangdong Univ Technol, Sch Automat, Guangzhou 510006, Guangdong, Peoples R China
[2] Guangdong Key Lab IoT Informat Technol, Guangzhou 510006, Guangdong, Peoples R China
来源
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2018年 / 355卷 / 10期
基金
中国国家自然科学基金;
关键词
H-INFINITY CONTROL; SLIDING MODE CONTROL; VARYING DELAY; ROBUST STABILITY; LINEAR-SYSTEMS; STABILIZATION; NETWORKS; DESIGN;
D O I
10.1016/j.jfranklin.2018.03.014
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Finite-time control for periodic systems with sensor nonlinearities and random input gains is addressed in this work. The variation of sensor nonlinearities is modeled by a Markov chain, and a stochastic variable is used to describe the influence of the actuator. A mode- and sensor nonlinearity-dependent non-fragile controller is designed to improve the performance and the non-fragility of the controller. The finite-time boundedness of the closed-loop system is ensured by a sufficient condition, the corresponding controller is then designed. Finally, the effectiveness of the developed results is illustrated by a numerical example. (C) 2018 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码:4097 / 4110
页数:14
相关论文
共 49 条
[1]   Finite-time control of discrete-time linear systems [J].
Amato, F ;
Ariola, M .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2005, 50 (05) :724-729
[2]   Finite-time stability of linear time-varying systems with jumps [J].
Amato, Francesco ;
Ambrosino, Roberto ;
Ariola, Marco ;
Cosentino, Carlo .
AUTOMATICA, 2009, 45 (05) :1354-1358
[3]  
Bittanti S, 2009, COMMUN CONTROL ENG, P1
[4]  
Chen W, 2012, PROCEEDING OF THE IEEE INTERNATIONAL CONFERENCE ON INFORMATION AND AUTOMATION, P241, DOI 10.1109/ICInfA.2012.6246813
[5]  
Costa O., 2006, Discrete-time Markov jump linear systems
[6]   Robust stability and control of uncertain linear discrete-time periodic systems with time-delay [J].
de Souza, Carlos E. ;
Coutinho, Daniel .
AUTOMATICA, 2014, 50 (02) :431-441
[7]   Energy-Based Sound Source Localization with Low Power Consumption in Wireless Sensor Networks [J].
Deng, Fang ;
Guan, Shengpan ;
Yue, Xianghu ;
Gu, Xiaodan ;
Chen, Jie ;
Lv, Jianyao ;
Li, Jiahong .
IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS, 2017, 64 (06) :4894-4902
[8]   Sliding Mode Control of Singular Stochastic Markov Jump Systems [J].
Feng, Zhiguang ;
Shi, Peng .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2017, 62 (08) :4266-4273
[9]   Global finite-time stabilization of a class of switched nonlinear systems with the powers of positive odd rational numbers [J].
Fu, Jun ;
Ma, Ruicheng ;
Chai, Tianyou .
AUTOMATICA, 2015, 54 :360-373
[10]  
Ge C, 2017, INT J INNOV COMPUT I, V13, P23