Local stabilization of discrete-time linear systems with saturating controls: an LMI-based approach

  title={Local stabilization of discrete-time linear systems with saturating controls: an LMI-based approach},
  author={Joao Manoel Gomes da Silva and Sophie Tarbouriech},
  journal={IEEE Trans. Automat. Contr.},
This note has developed a sliding-mode controller which requires only output information for a class of uncertain linear systems. The controller comprises both linear and nonlinear components and is static in nature, i.e., no compensation/observation is included. The novelty of the approach is in the rationale and method used to synthesize the linear control component. The reachability condition is not required to be satisfied globally. Instead, sliding is only expected to take place within a… CONTINUE READING
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