Reset observers for linear time-varying delay systems: Delay-dependent approach

被引：19
作者：
Zhao, Guanglei
Wang, Jingcheng [1 ]
机构：
[1] Shanghai Jiao Tong Univ, Dept Automat, Shanghai 200240, Peoples R China
来源：
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2014年 / 351卷 / 11期
基金：
中国国家自然科学基金;
关键词：
ADAPTIVE-OBSERVER; STATE ESTIMATION; STABILITY; DESIGN; PERFORMANCE; INTEGRATOR; OUTPUT;
D O I：
10.1016/j.jfranklin.2014.08.011
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Reset observer consists of linear observer and a reset element, when the input and output of the reset element have opposite signs, the state of the reset element is reset. This paper considers using reset observer to estimate states of linear time-varying delay systems. The delay-dependent approach is used for stability analysis, and global asymptotic stability and finite gain 2 stability are obtained. Moreover, less conservative piecewise Lyapunov stability conditions are developed based on partition of the state space. All the obtained results are given in the form of linear matrix inequalities (LMIs). Simulation example shows the effectiveness of the obtained results. (C) 2014 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码：5133 / 5147
页数：15
相关论文
共 33 条
[1]   Performance analysis of reset control systems [J].
Aangenent, W. H. T. M. ;
Witvoet, G. ;
Heemels, W. P. M. H. ;
van de Molengraft, M. J. G. ;
Steinbuch, M. .
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2010, 20 (11) :1213-1233
[2]   Delay-Independent Stability of Reset Systems [J].
Banos, Alfonso ;
Barreiro, Antonio .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2009, 54 (02) :341-346
[3]   Delay-dependent stability of reset systems [J].
Barreiro, Antonio ;
Banos, Alfonso .
AUTOMATICA, 2010, 46 (01) :216-221
[4]   State estimation in the presence of bounded disturbances [J].
Becis-Aubry, Y. ;
Boutayeb, A. ;
Darouach, M. .
AUTOMATICA, 2008, 44 (07) :1867-1873
[5]   Fundamental properties of reset control systems [J].
Beker, O ;
Hollot, CV ;
Chait, Y ;
Han, H .
AUTOMATICA, 2004, 40 (06) :905-915
[6]   Plant with integrator: An example of reset control overcoming limitations of linear feedback [J].
Beker, O ;
Hollot, CV ;
Chait, Y .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2001, 46 (11) :1797-1799
[7]   Observer design and stabilization for linear neutral delay systems [J].
Chen, B ;
Lam, J ;
Wang, ZD .
ISA TRANSACTIONS, 2005, 44 (01) :35-42
[8]  
Clegg J.C., 1958, Trans. Am. Inst. Electr. Eng. II, V77, P41
[9]   Solutions to hybrid inclusions via set and graphical convergence with stability theory applications [J].
Goebel, R ;
Teel, AR .
AUTOMATICA, 2006, 42 (04) :573-587
[10]   A reset observer with discrete/continuous measurements for a class of fuzzy nonlinear systems [J].
Guillen-Flores, C. P. ;
Castillo-Toledo, B. ;
Garcia-Sandoval, J. P. ;
Di Gennaro, S. ;
Gonzalez Alvarez, V. .
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2013, 350 (08) :1974-1991
1234