文章基本信息

标题：Unified Approach to the Analysis and Performance Evaluation of Sampled-Data Control Applied to Nonlinear Systems ⁎
本地全文：下载
作者：Gabriela W. Gabriel ; José C. Geromel
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2018
卷号：51
期号：25
页码：216-221
DOI：10.1016/j.ifacol.2018.11.108
语种：English
出版社：Elsevier
摘要：AbstractThis paper presents a general and unified approach to the stability and performance analysis of Markov jump nonlinear systems governed by a state feedback sampled-data control law, where the sampling instants are evenly spaced. Initially, the closed-loop system is equivalently described as a hybrid system. Then, mean square stability and performance optimization of the general nonlinear hybrid system are addressed. This study is based on the existence of a solution of a Two-Point Boundary Value Problem (TPBVP) composed by a Hamilton-Jacobi-Bellman Equation (HJBE) and defined in the time interval corresponding to two consecutive sampling instants. Solving this TPBVP implies that the performance index of interest is exactly evaluated. Additionally, a numerical method is proposed to cope with theH2framework. In this case, a guaranteed upper bound to the referred index is obtained. Examples illustrates the proposed theoretical results.
关键词：KeywordsSampled-data control systemsnonlinear systemsoptimization problemsMarkov parameters