Open AccessStabilisation of hybrid stochastic systems by disordered controllers
Author(s) -
Wang Guoliang,
Xu Shengyuan,
Zou Yun
Publication year - 2014
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/iet-cta.2013.0818
Subject(s) - control theory (sociology) , markov chain , bounded function , mode (computer interface) , controller (irrigation) , state (computer science) , stochastic matrix , matrix (chemical analysis) , mathematics , markov process , computer science , control (management) , mathematical optimization , algorithm , mathematical analysis , statistics , materials science , artificial intelligence , agronomy , composite material , biology , operating system
This study considers the stabilisation problem of hybrid stochastic systems by regular and stochastic state feedback controllers whose operation modes suffer a disordering phenomenon. By introducing an augmented Markov chain, a new operation mode is used to describe such a disagreement. Without designing a controller with new operation mode directly, a kind of controllers only having original operation mode is developed by using the non‐fragile control method, whose condition is given as linear matrix inequalities with equation constraints. Moreover, extensions to transition probability matrix with elementwise bounded uncertainties and being partially unknown are obtained. Simulation examples are used to demonstrate the effectiveness of the proposed methods.