Adaptive Fuzzy Control for a Class of Uncertain Linear Systems

An adaptive fuzzy control approach was proposed for a class of linear systems with uncertainty and disturbance. Firstly, the uncertainties of systems were normalized and processed. Then, the fuzzy logic system was employed to estimate the uncertainties of the system. Meanwhile, the unknown parameters of the fuzzy logic system were estimated and the corresponding adaptive laws were synthesized. The fuzzy adaptive controller not only reduces the number of adaptive laws but also ensures the state of the systems controlled and errors of parameter estimate are uniform and ultimately bounded (UUB). The simulation experiment demonstrates the effectiveness of the control method.