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Zhang, Zhina; Niu, Yugang; Chen, Bei

Static output feedback sliding mode control under rice fading channel: an interval type-2 fuzzy modelling method. (English) Zbl 1542.93136

IET Control Theory Appl. 14, No. 19, 3230-3239 (2020).
Summary: 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.
© 2020 The Authors. IET Control Theory & Applications published by John Wiley & Sons, Ltd. on behalf of The Institution of Engineering and Technology

MSC:

93B52 Feedback control
93B12 Variable structure systems
93C42 Fuzzy control/observation systems
93C10 Nonlinear systems in control theory
93D25 Input-output approaches in control theory
93E15 Stochastic stability in control theory

Keywords:

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
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References:

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