Yongtian Wang (ed.); Shengjin Wang (ed.); Yue Liu (ed.); Jian Yang (ed.); Xiaoru Yuan (ed.); Ran He (ed.); Henry Been Duh Springer (2017) Pehmeäkantinen kirja
Shuzhi Sam Ge (ed.); Zhuojing Luo (ed.); Yanen Wang (ed.); Hooman Samani (ed.); Ruihang Ji (ed.); Hongsheng He (ed.) Springer (2024) Pehmeäkantinen kirja
The authors present a study of the H-infinity control problem and related topics for descriptor systems, described by a set of nonlinear differential-algebraic equations. They derive necessary and sufficient conditions for the existence of a controller solving the standard nonlinear H-infinity control problem considering both state and output feedback. One such condition for the output feedback control problem to be solvable is obtained in terms of Hamilton–Jacobi inequalities and a weak coupling condition; a parameterization of output feedback controllers solving the problem is also provided. All of these results are then specialized to the linear case. The derivation of state-space formulae for all controllers solving the standard H-infinity control problem for descriptor systems is proposed. Among other important topics covered are balanced realization, reduced-order controller design and mixed H2/H-infinity control. "H-infinity Control for Nonlinear Descriptor Systems" provides a comprehensive introduction and easy access to advanced topics.
