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Guaranteed cost finite‐time control for semi‐Markov jump systems with event‐triggered scheme and quantization input
Author(s) -
Zong Guangdeng,
Ren Hangli
Publication year - 2019
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.4672
Subject(s) - control theory (sociology) , markov process , markov chain , quantization (signal processing) , computer science , jump , stability (learning theory) , controller (irrigation) , mathematical optimization , transition rate matrix , markov model , mathematics , control (management) , algorithm , statistics , physics , quantum mechanics , artificial intelligence , machine learning , agronomy , biology
Summary In this paper, the guaranteed cost finite‐time control for semi‐Markov jump systems with unknown transition rates is addressed. An event‐triggered scheme is constructed to automatically monitor the data transmission and the input quantization is involved to reduce the cost of control. Different from the existing general transition rates in the semi‐Markov jump systems, the upper and lower bounds of transition rates are not given in advance but obtained through the stability criteria. The stability criteria are established to verify the stochastic finite‐time boundedness of the closed‐loop event‐triggered system and estimate the performance index of the given cost function. A guaranteed cost optimal controller is also proposed to stabilize the considered system. Finally, the vertical take‐off and landing helicopter model is introduced to verify the effectiveness of the main algorithms.