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.