Robust Sample-and-Hold Stabilization for Nonlinear Retarded Systems

被引:3
作者
Di Ferdinando, M. [1 ]
Pepe, P. [1 ]
机构
[1] Univ Aquila, Dept Informat Comp Sci & Math, Laquila, Italy
关键词
Time-Delay Systems; Stability and stabilization in the sample-and-hold sense; Robustness issues; Sampled-data control; Applications with time-delay systems; control Lyapunov-Krasovskii functionals; Invariantly differentiable functionals; DISCRETE-TIME MODELS; STABILITY ANALYSIS; LINEAR-SYSTEMS; SATURATION; REDESIGN; DELAYS;
D O I
10.1016/j.ifacol.2016.07.472
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this paper we deal with the stabilization in the sample and hold sense of retarded systems affected by actuation disturbances and observation errors. We make use of input-to-state stability redesign methods in order to arbitrarily attenuate the effects of the above disturbances and measures errors. Vie show that stabilization in the sample-and-hold sense can be achieved, as long as actuation disturbances and observation errors are bounded and the bounds are known a priori, and as long as the observation errors do not affect or affect marginally the new added control term. (C) 2016, IFAC International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.
引用
收藏
页码:53 / 58
页数:6
相关论文
共 24 条
[1]  
[Anonymous], 2014, Systems & control: foundations & applications, Introduction to time-delay systems, DOI DOI 10.1007/978-3-319-09393-2
[2]   Asymptotic controllability implies feedback stabilization [J].
Clarke, FH ;
Ledyaev, YS ;
Sontag, ED ;
Subbotin, AI .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1997, 42 (10) :1394-1407
[3]   Robust sampled-data stabilization of linear systems: an input delay approach [J].
Fridman, E ;
Seuret, A ;
Richard, JP .
AUTOMATICA, 2004, 40 (08) :1441-1446
[4]   A refined input delay approach to sampled-data control [J].
Fridman, Emilia .
AUTOMATICA, 2010, 46 (02) :421-427
[5]  
Germani A, 2012, LECT NOTES CONTR INF, V423, P331
[6]   Optimization-based stabilization of sampled-data nonlinear systems via their approximate discrete-time models [J].
Grüne, L ;
Nesic, D .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2003, 42 (01) :98-122
[7]  
Hale JK., 1993, Introduction To Functional Differential Equations, V99
[8]  
Kim A.V., 1999, Functional Differential Equations: Applications of i-smooth Calculus
[9]   On the Lyapunov's functionals method for systems with delays [J].
Kim, AV .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1997, 28 (04) :673-687
[10]  
Kolmanovskiii V., 1999, INTRO THEORY APPL FU