Finite-Time Non-Fragile Extended Dissipative Control of Periodic Piecewise Time-Varying Systems

被引:11
作者
Liu, Yun
Deng, Zuolin
Li, Panshuo [1 ]
Zhang, Bin
机构
[1] Guangdong Univ Technol, Sch Automat, Guangzhou 510006, Peoples R China
来源
IEEE ACCESS | 2020年 / 8卷
基金
中国国家自然科学基金;
关键词
Time-varying systems; Symmetric matrices; Perturbation methods; Control systems; Stability criteria; Lyapunov methods; Periodic piecewise system; non-fragile control; extended dissipative control; H-INFINITY CONTROL; REDUCTION; NETWORKS; ROBUST; STATE;
D O I
10.1109/ACCESS.2020.3011822
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 studies the problem of finite-time non-fragile extended dissipative control for the periodic piecewise time-varying systems. First, based on the time-varying Lyapunov matrix and the matrix polynomial condition, a sufficient condition of finite-time boundedness for periodic piecewise time-varying subsystem is derived, and the finite-time extended dissipative performance is then analyzed. Furthermore, considering two types of time-varying controller perturbations, the non-fragile controllers are developed, which can guarantee the finite-time boundedness of periodic piecewise time-varying systems and satisfy the extended dissipative performance at the same time. Finally, numerical examples demonstrate the effectiveness of the proposed methods.
引用
收藏
页码:136512 / 136523
页数:12
相关论文
共 40 条
[1]   OLE: A Novel Oceanic Lidar Emulator [J].
Chen, Peng ;
Jamet, Cedric ;
Mao, Zhihua ;
Pan, Delu .
IEEE TRANSACTIONS ON GEOSCIENCE AND REMOTE SENSING, 2021, 59 (11) :9730-9744
[2]   Observer-Based Asynchronous Fault Detection for Conic-Type Nonlinear Jumping Systems and its Application to Separately Excited DC Motor [J].
Cheng, Peng ;
Wang, Jiancheng ;
He, Shuping ;
Luan, Xiaoli ;
Liu, Fei .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2020, 67 (03) :951-962
[3]   Observer-based finite-time asynchronous control for a class of hidden Markov jumping systems with conic-type non-linearities [J].
Cheng, Peng ;
He, Shuping .
IET CONTROL THEORY AND APPLICATIONS, 2020, 14 (02) :244-252
[4]  
Dorato P., 1961, Short-time Stability in Linear Time-varying Systems
[5]  
Fan CC, 2019, CHIN CONTR CONF, P236, DOI [10.23919/ChiCC.2019.8866290, 10.23919/chicc.2019.8866290]
[6]   Nonfragile Finite-Time Extended Dissipative Control for a Class of Uncertain Switched Neutral Systems [J].
Gao, Hui ;
Xia, Jianwei ;
Zhuang, Guangming ;
Wang, Zhen ;
Sun, Qun .
COMPLEXITY, 2017,
[7]   Robust, fragile, or optimal? [J].
Keel, LH ;
Bhattacharyya, SP .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1997, 42 (08) :1098-1105
[8]   Vibration reduction by using periodic supports in a piping system [J].
Koo, GH ;
Park, YS .
JOURNAL OF SOUND AND VIBRATION, 1998, 210 (01) :53-68
[9]   Stability analysis problems of periodic piecewise polynomial systems [J].
Li, Panshuo ;
Liu, Yun ;
Zhang, Bin ;
Lu, Renquan .
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2019, 356 (16) :9804-9823
[10]   H∞ control of periodic piecewise polynomial time-varying systems with polynomial Lyapunov function [J].
Li, Panshuo ;
Li, Pengxu ;
Liu, Yun ;
Bao, Hong ;
Lu, Renquan .
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2019, 356 (13) :6968-6988