access icon free Static output feedback sliding mode control under rice fading channel: an interval type-2 fuzzy modelling method

© The Institution of Engineering and Technology
Received 28/07/2020, Accepted 09/11/2020, Revised 12/10/2020, Published 25/11/2020

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.

Inspec keywords: stability; uncertain systems; fuzzy set theory; fuzzy systems; variable structure systems; nonlinear control systems; feedback; discrete time systems; fuzzy control; closed loop systems; Lyapunov methods; linear systems; control system synthesis

Other keywords: rice fading channel; communication channels; fading measurements; nonlinear dynamics; Rice fading channels; static output feedback; desired SMC law; interval type-2 fuzzy modelling method; interval type-2 Takagi-Sugeno fuzzy modelling approach; resultant closed-loop systems; nonlinear systems; prescribed sliding surface; uncertain parameters; mode control design problem

Subjects: Linear control systems; Multivariable control systems; Combinatorial mathematics; Algebra; Combinatorial mathematics; Stability in control theory; Nonlinear control systems; Discrete control systems; Optimal control; Control system analysis and synthesis methods; Time-varying control systems; Fuzzy control

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