TITLE:
Finite-Time H∞ Control of Switched Nonlinear Systems under State-Dependent Switching
AUTHORS:
Xiaoyue Zhang, Yao Wang
KEYWORDS:
Finite-Time H∞ Control, Switched Nonlinear Systems, Multiple Lyapunov-Like Functions, State-Dependent Switching
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.11 No.7,
July
26,
2023
ABSTRACT: This paper investigates the finite-time H∞ control problem of switched nonlinear systems via state-dependent switching and state feedback control. Unlike the existing approach based on time-dependent switching strategy, in which the switching instants must be given in advance, the state-dependent switching strategy is used to design switching signals. Based on multiple Lyapunov-like functions method, several criteria for switched nonlinear systems to be finite-time H∞ control are derived. Finally, a numerical example with simulation results is provided to show the validity of the conclusions.