Time-Varying Sampled-Data Observer With Asynchronous Measurements

被引:42
|
作者
Sferlazza, Antonino [1 ]
Tarbouriech, Sophie [2 ]
Zaccarian, Luca [2 ,3 ]
机构
[1] Univ Palermo, Dept Energy Informat Engn & Math Models, I-90128 Palermo, Italy
[2] CNRS, Lab Anal & Architecture Syst, F-31400 Toulouse, France
[3] Univ Trento, Dipartimento Ingn Ind, I-38122 Trento, Italy
关键词
Discrete asynchronous measurements; hybrid systems; linear matrix inequalities (LMIs); sampled-data observer; CONTINUOUS-DISCRETE OBSERVER; NONLINEAR-SYSTEMS; LIPSCHITZ SYSTEMS; LINEAR-SYSTEMS; DESIGN;
D O I
10.1109/TAC.2018.2839974
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, a time-varying observer for a linear continuous-time plant with asynchronous sampled measurements is proposed. The observer is contextualized in the hybrid systems framework providing an elegant setting for the proposed solution. In particular, some theoretical tools are provided, in terms of linear matrix inequalities (LMIs), certifying asymptotic stability of a certain compact set where the estimation error is zero. We consider sampled asynchronous measurements that occur at arbitrary times in a certain window with an upper and lower bound. The design procedure, that we propose for the selection of the time-varying gain, is based on a constructive algorithm that is guaranteed to find a solution to an infinite-dimensional LMI whenever a feasible solution exists.
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页码:869 / 876
页数:8
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