Integral-interval barrier Lyapunov function based control of switched systems with fuzzy saturation-deadzone

This study addresses the issue of compensation for uncertain saturation and deadzone in adaptive tracking control of switched systems with constrained output and prescribed performance. A new integral-interval barrier Lyapunov function (IIBLF) can deal with the conservative feasibility conditions that only ensure the output constraints. To handle uncertain saturation and deadzone, a new fuzzy saturation-deadzone (FSD) model is proposed. It is difficult to design a barrier Lyapunov function based controller for switched systems in the existence of prescribed performance, uncertain saturation and deadzone, and the output constraints. By using the FSD, a novel IIBLF based adaptive fuzzy controller is presented to solve the above difficulty. Moreover, the proposed controller not only can prevent the violation of constrained output and prescribed performance scalars, but also can assure the boundedness of the closed-loop system. Finally, the effectiveness of the obtained theoretical results is proved by simulation example.