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Designing reduced-dimension controller of differential-algebraic system by criterion of H2-optimization

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Abstract

The problem of designing an H2-optimal control was solved for the differentialalgebraic system. The controller is based on the minimal-dimension observer. Solution of the design problem comes to solving two Riccati equations having one the order of the dimension of the “slow” subsystem of the original differential-algebraic system and the other, a reduced order. The resulting controller was represented in the class of ordinary systems, which simplifies its realization. An example of designing an H2-optimal controller was given.

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Original Russian Text © O.Yu. Torgashova, O.E. Shvorneva, 2014, published in Avtomatika i Telemekhanika, 2014, No. 2, pp. 156–176.

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Torgashova, O.Y., Shvorneva, O.E. Designing reduced-dimension controller of differential-algebraic system by criterion of H2-optimization. Autom Remote Control 75, 302–319 (2014). https://doi.org/10.1134/S0005117914020106

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