Еквівалентне перетворення і зважена $H_\infty$-оптимізація лінійних дескрипторних систем, Equivalent transformation and weighted $H_\infty$-optimization of linear descriptor systems

<jats:p>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.</jats:p>