Open AccessStatic output feedback sliding mode control under rice fading channel: an interval type‐2 fuzzy modelling method
Author(s) -
Zhang Zhina,
Niu Yugang,
Chen Bei
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.2020.0878
Subject(s) - fading , control theory (sociology) , reachability , channel (broadcasting) , sliding mode control , fuzzy control system , computer science , interval (graph theory) , controller (irrigation) , fuzzy logic , mathematics , control (management) , nonlinear system , algorithm , telecommunications , artificial intelligence , physics , quantum mechanics , combinatorics , agronomy , biology
This work investigates the static output feedback sliding mode control (SMC) design problem of uncertain non‐linear systems with Rice fading channels. The interval type‐2 Takagi‐Sugeno fuzzy modelling approach is exploited to express non‐linear dynamics with uncertain parameters. As the wireless network between the sensor and the controller may be subject to channel fading, the premise variables are probably altered during their propagations. In such cases, a key issue is to synthesise a desired SMC law for stabilising the controlled non‐linear systems. To this end, new membership functions are constructed via employing the fading measurements and the desired SMC law are subsequently synthesised. To deal with the disturbances in communication channels, the notion of input‐to‐state stable in probability (ISSiP) is utilised and sufficient criteria are deduced to guarantee the ISSiP of the resultant closed‐loop systems and the reachability of the prescribed sliding surface. Finally, a simulation example illustrates the designed control strategy.