A Lyapunov proof of an improved maximum allowable transfer interval for networked control systems

被引:284
作者
Carnevale, Daniele [1 ]
Teel, Andrew R.
Nesic, Dragan
机构
[1] Univ Roma Tor Vergata, Dipartimento Informat Sistemi & Prod, I-00133 Rome, Italy
[2] Univ Calif Santa Barbara, Dept Elect & Comp Engn, Santa Barbara, CA 93106 USA
[3] Univ Melbourne, Dept Elect & Elect Engn, Parkville, Vic 3010, Australia
基金
澳大利亚研究理事会; 美国国家科学基金会;
关键词
Lyapunov; networked control; nonlinear; stability;
D O I
10.1109/TAC.2007.895913
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Simple Lyapunov proofs are given for an improved (relative to previous results that have appeared in the literature) bound on the maximum allowable transfer interval to guarantee global asymptotic or exponential stability in networked control systems and also for semiglobal practical asymptotic stability with respect to the length of the maximum allowable transfer interval.
引用
收藏
页码:892 / 897
页数:6
相关论文
共 12 条
[1]  
BACCIOTTI A, 1992, P 2 IFAC S NONL CONT, P21
[2]  
Branicky MS, 2000, P AMER CONTR CONF, P2352, DOI 10.1109/ACC.2000.878601
[3]   Solutions to hybrid inclusions via set and graphical convergence with stability theory applications [J].
Goebel, R ;
Teel, AR .
AUTOMATICA, 2006, 42 (04) :573-587
[4]  
Kurzweil J., 1956, AM MATH SOC TRANSL, V24, P19
[5]   Input-to-state stability of networked control systems [J].
Nesic, D ;
Teel, AR .
AUTOMATICA, 2004, 40 (12) :2121-2128
[6]  
Nesic D, 2004, IEEE T AUTOMAT CONTR, V49, P1650, DOI [10.1109/TAC.2004.835360, 10.1109/tac.2004.835360]
[7]   Changing supply functions in input to state stable systems: The discrete-time case [J].
Nešić, D. ;
Teel, A.R. .
2001, Institute of Electrical and Electronics Engineers Inc. (46)
[8]   Stabilization in spite of matched unmodeled dynamics and an equivalent definition of input-to-state stability [J].
Praly, L ;
Wang, Y .
MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS, 1996, 9 (01) :1-33
[9]   SMOOTH STABILIZATION IMPLIES COPRIME FACTORIZATION [J].
SONTAG, ED .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1989, 34 (04) :435-443
[10]   TOOLS FOR SEMIGLOBAL STABILIZATION BY PARTIAL STATE AND OUTPUT-FEEDBACK [J].
TEEL, A ;
PRALY, L .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1995, 33 (05) :1443-1488