Quantised feedback sliding mode control of linear uncertain systems

This study is concerned with the quantised feedback stabilisation problem for a class of uncertain linear systems by utilising sliding mode control schemes. It is an extension of our previous work from single-input linear systems with matched uncertainties to multi-input linear systems with matched/mismatched uncertainties. By applying an designed adjustment policy of the quantisation parameter, the proposed quantised feedback sliding mode control law can effectively eliminate the influence of the matched/mismatched uncertainties and guarantee the arrival of the sliding motion. Finally, an example is provided to illustrate the effectiveness of the proposed approach.