Composite sliding-mode control of singular perturbation systems

A two-stage sliding-mode controller design for a singular perturbation system is investigated in this paper. First, the authors design the slow and fast sliding-mode controllers for the subsystems individually. Then they obtain the composite sliding-mode control (SMC). The upper bound problem of the singular perturbation parameter in such a control system is also determined. An efficient way of eliminating the chattering is developed. A numerical example is given to demonstrate the proposed schemes.