Adaptive Tracking for Stochastic Nonlinear Systems With Markovian Switching $ $

Autor:	Peng Shi, Zhao Jing Wu, Jun Yang
Rok vydání:	2010
Předmět:	Lyapunov function Adaptive control Nonlinear control Integral equation Computer Science Applications Tracking error symbols.namesake Nonlinear system Control and Systems Engineering Control theory Backstepping symbols Electrical and Electronic Engineering Martingale (probability theory) Mathematics
Zdroj:	IEEE Transactions on Automatic Control. 55:2135-2141
ISSN:	1558-2523 0018-9286
DOI:	10.1109/tac.2010.2051090
Popis:	The problem of the adaptive tracking for a class of stochastic nonlinear systems with stationary Markovian switching is considered in this note. An Ito formula is proposed for stochastic integral equations with an integral about martingale measure. An adaptive backstepping controller is designed such that the closed-loop system has a unique solution that is globally bounded in probability and L4-norm of the tracking error converges to an arbitrarily small neighborhood of zero. A simulation example demonstrates the efficiency of the proposed scheme.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::8f0e2042060f0b234fd2ebde234201ef https://doi.org/10.1109/tac.2010.2051090 Zobrazit plný text záznamu