Robust H_∞ Control For A Class Of Uncertain Singular Bilinear Systems

Robust control is a research highlight, which proposed for uncertainties of the control systems. Because the uncertainties derived from both the system itself and outside are inevitable in the practical control engineering, it is of practical significance to research robust control. H∞control about linear systems consider the uncertainty disturbance of the accurate model from outside. Robust H∞control is a branch of robust control, which design a feedback controller so as to the closed-loop system stabilization and anti-interference for all admissible uncertainties when the parameter is uncertainty.Singular bilinear system is the nonlinear singular system which is the closest to linear singular system. It is more difficult to learn singular bilinear system because of the increasing nonlinear item. The research of singular bilinear systems is still on the initial developing stage.Robust H∞control of a class of singular bilinear system is researched in this paper. Robust stabilization and robust H∞control of the single-input singular bilinear system with uncertainty parameters are the primary coverage, which provide the sufficiency condition about the robust stabilization and robust H∞stabilization by means of LMI and give the corresponding state feedback controller subject to the closed-loop system stabilization. Finally, a numerical example is provided to demonstrate the application of the proposed method.