Xia, Yuanqing; Shi, Peng; Liu, Guoping; Rees, David Robust mixed \(H_2/H_\infty\) state-feedback control for continuous-time descriptor systems with parameter uncertainties. (English) Zbl 1136.93338 Circuits Syst. Signal Process. 24, No. 4, 431-443 (2005). Summary: The problem of robust mixed \(H_2/H_\infty\) control for a class of continuous-time descriptor systems with norm-bounded parameter uncertainties is investigated. Sufficient conditions in terms of linear matrix inequalities are given for the existence of a state-feedback controller that minimizes an upper bound of the \(H_2\)-norm of the transfer matrix system to an \(H_\infty\)-norm constraint. A numerical example is given to show the potential of the proposed methods. Cited in 19 Documents MSC: 93B36 \(H^\infty\)-control 93C41 Control/observation systems with incomplete information PDFBibTeX XMLCite \textit{Y. Xia} et al., Circuits Syst. Signal Process. 24, No. 4, 431--443 (2005; Zbl 1136.93338) Full Text: DOI