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Robust Stabilization of the Parametrically Perturbed System

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Abstract

The problem of stabilization of the second-order system with bounded underdefinite functional parameters was solved. Design of the relay control performing robust stabilization by means of the sliding mode introduced purposefully into the system was proposed. Phase portraits of the variable-structure systems which define the boundaries of the integral funnels were constructed. Existence of the limit cycle was proved. The domain of robust system stabilization was established, and its structural profile vs. the parameter describing the perturbation resources was considered.

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Zhermolenko, V.N. Robust Stabilization of the Parametrically Perturbed System. Automation and Remote Control 62, 278–289 (2001). https://doi.org/10.1023/A:1002802524853

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