Abstract
This paper presents an adaptive fuzzy control scheme for controlling the systems with 2-norm bound for system parameters and bounded disturbances. The controlled system is presented by a set of fuzzy subsystems with aggregation. The adaptive fuzzy controller is first designed by the state feedback controller which has the maximum membership function value, and then adaptively tuning the compensating control parameters to guarantee the stability of the closed-loop system. The compensating controller is based on the switching-σ adaptive control (SSAC) design method. It is shown that the adaptive fuzzy controller can guarantee that the estimates would not drift and the plant output of the closed-loop system approaches zero. The simulation examples for controlling an inverted pendulum system are given to illustrate the effectiveness of the proposed method.
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