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

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Abstract
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.
Funding Information
  • National Natural Science Foundation of China (61273004)
  • Natural Science Foundation of Hebei Province (F2018203099)

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