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Synthesis of State Descriptors in the Problem of Multiprogram Stabilization of Bilinear Systems

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Abstract

In the present paper, the problem of stabilizing a family of program motions of a bilinear nonstationary system with the help of a nonlinear full-order state descriptor for this system and a nonlinear Luenberger descriptor is considered. Methods to synthesize such descriptors and to construct a multiprogram stabilizing control in the form of nonlinear feedback are suggested. Theorems on sufficient conditions for the existence of a solution of the above problem are proved.

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Authors and Affiliations

  1. St. Petersburg State University, Russia

    N. V. Smirnov

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  1. N. V. Smirnov
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Smirnov, N.V. Synthesis of State Descriptors in the Problem of Multiprogram Stabilization of Bilinear Systems. Mathematical Notes 72, 495–504 (2002). https://doi.org/10.1023/A:1020584328739

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