Yang, Dong; Huang, Chunxiao; Zong, Guangdeng Finite-time \(H_\infty\) bumpless transfer control for switched systems: a state-dependent switching approach. (English) Zbl 1465.93191 Int. J. Robust Nonlinear Control 30, No. 4, 1417-1430 (2020). Summary: This paper addresses the finite-time \(H_\infty\) bumpless transfer control problem for switched systems. The main idea lies in designing a state-feedback controller with amplitude limitation and a state-dependent switching law to reduce control bumps caused by switching. First, a local bumpless transfer condition is proposed to limit the amplitude of switching controllers at switching points. Second, by introducing a state-dependent switching law, a prescribed finite-time \(H_\infty\) bumpless transfer control performance is attained even if it does not hold for each subsystem or system state remaining on a switching surface. Third, a sufficient condition verifying the solvability of finite-time \(H_\infty\) bumpless transfer control problem is established by resorting to multiple Lyapunov function method. Finally, the effectiveness of developed method is illustrated by a numerical example. Cited in 13 Documents MSC: 93D40 Finite-time stability 93B36 \(H^\infty\)-control 93C30 Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) 93B52 Feedback control Keywords:bumpless transfer; finite-time boundedness; \(H_\infty\) control; state-dependent switching law; switched systems PDFBibTeX XMLCite \textit{D. Yang} et al., Int. J. Robust Nonlinear Control 30, No. 4, 1417--1430 (2020; Zbl 1465.93191) Full Text: DOI