Static output feedback sliding mode control under rice fading channel: an interval type‐2 fuzzy modelling method. Issue 19 (25th January 2021)

• Record Type: Journal Article
• Authors: Zhang, Zhina; Niu, Yugang; Chen, Bei
• Is Part Of: IET control theory & applications. Volume 14:Issue 19(2020)
• Page Start: 3230
• Page End: 3239
• Publication Date: 2021-01-25
• Subjects: Lyapunov methods -- fuzzy set theory -- stability -- nonlinear control systems -- linear systems -- fuzzy control -- closed loop systems -- control system synthesis -- discrete time systems -- feedback -- uncertain systems -- fuzzy systems -- variable structure systems; mode control design problem -- nonlinear systems -- Rice fading channels -- interval type‐2 Takagi‐Sugeno fuzzy modelling approach -- nonlinear dynamics -- uncertain parameters -- desired SMC law -- fading measurements -- communication channels -- resultant closed‐loop systems -- prescribed sliding surface -- static output feedback -- rice fading channel -- interval type‐2 fuzzy modelling method; Control theory -- Periodicals; Automatic control -- Periodicals; 629.8312
• DOI: 10.1049/iet-cta.2020.0878
• Languages: English
• ISSNs: 1751-8644

Abstract

Abstract : 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.