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<p>We study the problem of generalized <i>H</i><sub>∞</sub>-control for a class of linear descriptor systems with nonzero initial vector. To do this we use a generalized performance measure characterizing the weighted level of damping of external and initial disturbances. A nondegenerate transformation of the system is proposed, which allows us to apply well-known methods for the evaluation and attainment of the desired performance criteria for ordinary lower-order systems. A numerical example of controlled hydraulic system with three tanks is presented.</p>

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Equivalent Transformation and Weighted H∞-Optimization of Linear Descriptor Systems

  • 期刊论文

  • 发表日期：

    2025年10月30日

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  • Oleksii Mazko

摘要

We study the problem of generalized H∞-control for a class of linear descriptor systems with nonzero initial vector. To do this we use a generalized performance measure characterizing the weighted level of damping of external and initial disturbances. A nondegenerate transformation of the system is proposed, which allows us to apply well-known methods for the evaluation and attainment of the desired performance criteria for ordinary lower-order systems. A numerical example of controlled hydraulic system with three tanks is presented.