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Passivity‐based stochastic sampled‐data control of Markovian jump systems via looped‐functional approach
Author(s) -
Yao Lan,
Huang Xia,
Wang Zhen,
Xia Jianwei,
Shen Hao
Publication year - 2021
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.5563
Subject(s) - passivity , control theory (sociology) , controller (irrigation) , state (computer science) , mathematics , sampling (signal processing) , jump , computer science , markov process , control (management) , algorithm , engineering , statistics , agronomy , physics , filter (signal processing) , quantum mechanics , artificial intelligence , electrical engineering , computer vision , biology
In this article, passivity‐based sampled‐data control for Markovian jump systems (MJSs) with stochastic sampling is conducted by virtue of the looped‐functional approach. First, based on the input delay approach, the MJS under stochastic sampled‐data control is modeled as a time‐varying continuous‐time system with a random variable. Second, a time‐dependent looped‐functional is developed, which only requires its positive definiteness at the sampling instants and takes full use of the state information. Moreover, a free‐matrix‐based integral inequality is used to derive some less conservative passivity conditions expressed in terms of linear matrix inequality (LMIs). Meanwhile, a design algorithm for the mode‐dependent stochastic sampled‐data controller is provided. A numerical example is given to demonstrate the validity and superiority of the proposed analysis method.