Global asymptotic stabilisation and H∞ control for a class of nonlinear Hamiltonian singular systems with delays and saturation

Abstract

ABSTRACTThis paper studies the global asymptotical stabilisation and control problems for a class of nonlinear Hamiltonian singular systems (NHSSs) with time-varying delays as well as input saturation. The delays existing in input and output are assumed to be bounded. A global asymptotic stabilisation controller is first proposed by output feedback, and control performance is achieved for the discussed system when external disturbances are considered. Based on the structural characteristic of the NHSSs, the closed-loop system under the output feedback controller is transformed equivalently into slow subsystem and fast subsystem. Different criterions are identified to guarantee that the resulting closed-loop system is asymptotically stable and the γ-dissipative inequalities holds in the presence of disturbances, respectively. Finally, the validity of our proposed results is illustrated by a numerical example.