PROJECT TITLE :
Quantisation effect on zero-order-holder discretisation of multi-input sliding-mode control systems
This study investigates the quantisation impact on dynamical behaviours of the zero-order-holder discretisation of multi-input sliding-mode control systems with matched uncertainties. The quasi-sliding mode induced by each quantisation and discretisation is analysed and therefore the thicknesses of the boundary layers are calculated. It's shown that chattering phenomenon happens within the union of the two boundary layers induced by both kinds of discontinuous laws. The stability condition is given and the authors show that the switching manifold has comparatively low chattering frequencies because of quantised state feedback. Finally, the theoretical results are verified through the simulation study of a third-order system with 2 inputs.
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