access icon free Switched control of repeated scalar non-linear systems via sliding mode control technique

© The Institution of Engineering and Technology
Received 14/09/2016, Accepted 15/11/2016, Published 01/12/2016

This study focuses on the hybrid switched controller design issue for a type of repeated scalar non-linear systems with stochastic disturbance based on sliding mode control (SMC) approach. By constructing the diagonally dominant Lyapunov functional appropriately, sufficient conditions of mean-square exponential stability are first proposed for the resulting non-linear stochastic system, which possess a strictly dissipativity performance. The authors' attention is focused on constructing a desirable sliding mode surface and further analysing its sliding mode motion. Then, a hybrid switched controller is designed to ensure the accessibility of the pre-specified switching sliding mode surface. Finally, the feasibility and effectiveness of the designed SMC technique are illustrated by the numerical example.

Inspec keywords: mean square error methods; nonlinear control systems; stochastic systems; variable structure systems; time-varying systems; asymptotic stability

Other keywords: repeated scalar nonlinear system; mean-square exponential stability; nonlinear stochastic system; hybrid switched controller design; sliding mode control; sliding mode motion

Subjects: Interpolation and function approximation (numerical analysis); Time-varying control systems; Stability in control theory; Multivariable control systems; Nonlinear control systems

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