Abstract

In this paper, the problem of disturbance-based nonlinear sliding mode observer design is investigated for uncertain time-delay repeated scalar nonlinear systems subject to quantisation output measurement. State and disturbance observers are constructed by using the quantised measured output. Then, an improved nonlinear sliding surface is developed, and sufficient conditions are obtained for the sliding mode dynamics to be asymptotically stable with the desired performance level. In addition, a composite nonlinear feedback control law is synthesised to guarantee the reachability of the nonlinear surface. Finally, examples and simulations are presented to demonstrate the effectiveness of the proposed new design techniques.

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