Disturbance-observer-based sliding mode control for T–S fuzzy discrete-time systems with application to circuit system

Abstract

In this paper, the problem of disturbance-observer-based sliding mode control (SMC) is studied for a class of Takagi–Sugeno (T–S) fuzzy discrete-time systems subject to dead-zone input and external disturbance. The disturbance is monitored by a disturbance observer (DO). Then, a DO-based sliding mode controller is derived. By selecting the suitable gain matrices, the DO can approximate the external disturbance effectively, and the stability of the system can be guaranteed. Finally, the validity of the proposed SMC scheme is verified with the simulation results of the tunnel diode circuit system.