Equivalent transformation and weighted $H_\infty$-optimization of linear descriptor systems

A. G. Mazko

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arXiv · 2412.20827

Equivalent transformation and weighted $H_\infty$-optimization of linear descriptor systems

A. G. Mazko

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Abstract

The problem of a generalized type of $H_\infty$-control is investigated for a class of admissible descriptor systems with a non-zero initial vector. A generalized performance measure is used, which characterizes the weighted damping level of external and initial disturbances. A non-degenerate transformation of the system is proposed, which allows to apply known methods for evaluation and the achievement of desired performance measures for conventional lower-order systems. A numerical example of a controlled hydraulic system with three tanks is given.

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A. G. Mazko. 2024-12-30. Equivalent transformation and weighted $H_\infty$-optimization of linear descriptor systems. https://arxiv.org/abs/2412.20827

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