Open AccessObserver‐based finite‐time asynchronous control for a class of hidden Markov jumping systems with conic‐type non‐linearities
Author(s) -
Cheng Peng,
He Shuping
Publication year - 2020
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.2019.0443
Subject(s) - control theory (sociology) , mathematics , conic section , observer (physics) , hypersphere , jumping , hidden markov model , markov chain , computer science , control (management) , artificial intelligence , physiology , statistics , biology , physics , geometry , quantum mechanics
An observer‐based finite‐time asynchronous H ∞ control law is designed for a class of hidden Markov jumping systems with non‐linearities and external disturbances. The non‐linearities satisfy the conic‐type constraint condition that lies in a known hypersphere with an uncertain centre. The non‐synchronisation phenomenon between the system modes and observer/controller modes is modelled by a hidden Markov model. By means of the proper stochastic Lyapunov–Krasovskii functional method, a sufficient condition is obtained to guarantee the stochastic finite‐time boundedness of the corresponding argument error dynamic systems with a satisfied H ∞ disturbance rejection level. Finally, the feasibility and validity of the main results is illustrated through a pratical example related to the DC motor.