Equivalent transformation and weighted $H_\infty$-optimization of linear descriptor systems
DOI:
https://doi.org/10.3842/umzh.v77i5.8976Keywords:
Descriptor system; exogenous disturbances; H∞ control; weighted performance measure; LMI.Abstract
UDC 517.925.51; 681.5.03
We study the problem of generalized $H_\infty$-control for a class of linear descriptor systems with nonzero initial vector. 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 conventional lower-order systems. A numerical example of a controlled hydraulic system with three tanks is presented.
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