JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE) ›› 2013, Vol. 43 ›› Issue (6): 42-46.

• Articles • Previous Articles     Next Articles

Partially asymptotically stable and finite-time stable observer design for a class of chained systems

SHEN Yan-jun1, WU Chao-yan2   

  1. 1.College of Electrical Engineering and New Energy, China Three Gorges University, Yichang 443002, China;
    2.College of Science, China Three Gorges University, Yichang 443002, China
  • Received:2013-05-15 Online:2013-12-20 Published:2013-05-15

PDF (PC)

1005

Abstract:

Partially asymptotically stable observer and finite-time observer for a class of chained systems were designed. The definition of partially asymptotically stable observer and finite-time observer for the chained systems were presented. Then, the partially asymptotically stable observer and finitetime observer were constructed respectively. By theories of homogeneity and Lyapunov stability, the asymptotical stability and finite-time stability of the observation errors were proved. At last, the validity of the method was demonstrated by a numerical example.

Key words: chained system, partial asymptotical stability, finite-time stability, observer, homogeneous theory

[1] DAI Shiyu, LIU Shuqin. Estimation of speed and acceleration of the Maglev platform by state observer [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2018, 48(2): 114-120.
[2] XIE Xiaolong, JIANG Bin, LIU Jianwei, JIANG Yinhang. Fault diagnosis and fault tolerant control based on sliding mode observer for speed sensor in asynchronous motor [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2017, 47(5): 210-214.
[3] WU Yanming, WANG Ruiyun, WANG Zhanshan. Fault detection for multi-agent systems based on intermediate observer [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2017, 47(5): 96-102.
[4] LIANG Qiushi, ZHAO Zhicheng. A position sensorless control strategy for BLDCM based on a fractional order sliding mode observer [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2017, 47(3): 96-101.
[5] ZHOU Shaowei. The finite-time stability of stochastic Markov jumping systems [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2016, 46(2): 78-84.
[6] WEI Wei, DAI Ming, LI Jiaquan, MAO Dapeng, LI Xiantao. Design of the disturbance observer of opto-electronic platform in frequency domain [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2015, 45(4): 45-49.
[7] WANG Fei-fei1, YAN Xue-hua2*, LIU Yun-gang3. Practical tracking by output feedback for a class of nonlinearly
parameterized systems with unknown control coefficients [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2013, 43(5): 55-67.
[8] MA Shi-min, WANG Yu-zhen. Finite-time stability of a class of generalized Hamiltonian systems with
application to control design of nonlinear affine systems [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2011, 41(2): 119-125.
[9] RUAN Jiu-Hong, LI Yi-Bin, YANG Fu-An, RONG Hua-Wen. On manned AWID-AWIS vehicle dynamics control [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2010, 40(1): 10-14.
[10] LIU Yu-chang. New development of energy-based control based on generalized controlled Hamiltonian systems [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2009, 39(3): 47-55.
[11] DENG Xiu-cheng,SHEN Yan-jun,FANG Sheng-le .

An approach to design the finite-time observer for MIMO-linear systems

[J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2008, 38(4): 17-21 .
[12] JIA Xiu-qin,LIU Yun-gang . H∞ partial-state observer design for nonlinear systems [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2007, 37(5): 40-46 .
[13] LIU Qing-rong,ZHANG Cheng-hui,ZHANG Xian-fu . Observer design for nonlinear systems with delay in state [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2007, 37(5): 24-28 .
[14] JIA Xiu-qin,LIU Yun-gang . Observer design for a class of more general Lipschitz nonlinear systems [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2007, 37(2): 113-120 .
[15] DING Yu-qin,LIU Yun-gang . An approach to design the finite time functional observer for a class of nonlinear systems [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2007, 37(1): 56-60 .
Viewed
Full text


Abstract

Cited
  Shared   
  Discussed   
[1] WANG Su-yu,<\sup>,AI Xing<\sup>,ZHAO Jun<\sup>,LI Zuo-li<\sup>,LIU Zeng-wen<\sup> . Milling force prediction model for highspeed end milling 3Cr2Mo steel[J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2006, 36(1): 1 -5 .
[2] LI Kan . Empolder and implement of the embedded weld control system[J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2008, 38(4): 37 -41 .
[3] KONG Xiang-zhen,LIU Yan-jun,WANG Yong,ZHAO Xiu-hua . Compensation and simulation for the deadband of the pneumatic proportional valve[J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2006, 36(1): 99 -102 .
[4] CHEN Rui, LI Hongwei, TIAN Jing. The relationship between the number of magnetic poles and the bearing capacity of radial magnetic bearing[J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2018, 48(2): 81 -85 .
[5] LI Ke,LIU Chang-chun,LI Tong-lei . Medical registration approach using improved maximization of mutual information[J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2006, 36(2): 107 -110 .
[6] JI Tao,GAO Xu/sup>,SUN Tong-jing,XUE Yong-duan/sup>,XU Bing-yin/sup> . Characteristic analysis of fault generated traveling waves in 10 Kv automatic blocking and continuous power transmission lines[J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2006, 36(2): 111 -116 .
[7] . [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2009, 39(1): 27 -32 .
[8] WANG Li-ju,HUANG Qi-cheng,WANG Zhao-xu . [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2006, 36(6): 51 -56 .
[9] SUN Weiwei， WANG Yuzhen. Finite gain stabilization of singlemachine infinite bus system subject to saturation[J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2009, 39(1): 69 -76 .
[10] SUN Dianzhu, ZHU Changzhi, LI Yanrui. [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2009, 39(1): 84 -86 .
Copyright 2018 © Editorial office of Journal of Shandong University (Engineering Science)
Supported by Beijing Magtech Co.Ltd