Open AccessIntegrator‐based robust H ∞ sliding mode control of uncertain stochastic Markovian jump delay systems with non‐linear perturbations
Author(s) -
Jiang Baoping,
Kao Yonggui,
Gao Cunchen
Publication year - 2017
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.2016.0841
Subject(s) - control theory (sociology) , mathematics , attenuation , integrator , controller (irrigation) , robust control , sliding mode control , linear matrix inequality , exponential stability , mode (computer interface) , computer science , control system , mathematical optimization , nonlinear system , control (management) , engineering , physics , computer network , agronomy , electrical engineering , bandwidth (computing) , quantum mechanics , artificial intelligence , optics , biology , operating system
This study is concerned with the problem of robustH ∞sliding mode control (SMC) of Ito ^stochastic delayed Markovian jump systems subject to parameter uncertainties and non‐linear perturbations. Firstly, for the sake of practicality, a common integral sliding surface functional without time‐varying delay is proposed. Then, by using linear matrix inequalities technique, sufficient condition for the robust mean‐square exponential stability of the resulting closed‐loop system with a prescribed disturbance attenuation level γ is derived. Moreover, a novel sliding mode controller is designed such that system trajectories can be kept on the sliding surface almost surely since the initial time. Finally, an example is provided to illustrate the effectiveness of the obtained result.