Memory sliding mode control for semi‐Markov jump system with quantization via singular system strategy

Summary This technical note is concerned with the memory sliding mode stabilization for semi‐Markov jump nonlinear systems with input subject to mismatch quantization. Firstly, a sliding mode surface is constructed such that the sliding motion is stochastic admission in terms of linear matrix inequalities by a singular system strategy. A sufficient condition for the existence of linear memory sliding surfaces is given. Then, the memory sliding‐mode quantized controller designing problem is considered by the designed sliding surface function. Finally, a numerical example illustrates the effectiveness of the proposed method.