Output tracking of time-delay Hamiltonian descriptor systems under saturation constraints

Abstract

In this paper, the output tracking problem of Hamiltonian descriptor systems under the influence of saturation and time delay is investigated. In order to achieve fast output tracking and reduce tracking overshoot, an extended composite nonlinear feedback (ECNF) control method is proposed for Hamiltonian descriptor systems. Considering the special form of Hamiltonian descriptor system, based on the method of model transformation, the closed-loop Hamiltonian descriptor system obtained by introducing ECNF controller is replaced by two subsystems without singularity, so as to facilitate the later processing. For two different types of time delays, the criteria of asymptotic output tracking for closed-loop Hamiltonian descriptor systems are obtained respectively. Finally, the control effect of the ECNF method is tested by selecting a practical example and a numerical example.