Robust adaptive fuzzy control of uncertain bilinear systems with unknown dead-zone

A robust adaptive fuzzy control approach is proposed in this paper for a class of uncertain bilinear systems with unknown dead-zone. Dead-zone is one of the most important nonsmooth nonlinearities encountered in actuators, such as DC servo systems, pressure control systems, machine tools, and power amplifiers. In most practical motion systems, the dead-zone parameters are poorly known and may severely limit system performance. Therefore, the design of the robust adaptive fuzzy controller in this paper provides robustness not only to uncertainties of the system, but also to the unknown dead-zone. Based on Lyapunov stability theorem, the proposed robust adaptive fuzzy controller would have the capability to ensure the successful achievement of the asymptotic stabilization of the whole close-loop system. Simulation results are included to illustrate the effectiveness of the proposed control scheme.