l 1 -Induced State-Feedback Controller Design for Positive Fuzzy Systems

Abstract EN

The problem of l 1 -induced state-feedback controller design is investigated for positive Takagi-Sugeno (T-S) fuzzy systems with the use of linear Lyapunov function.

First, a novel performance characterization is established to guarantee the asymptotic stability of the closed-loop system with l 1 -induced performance.

Then, the sufficient conditions are presented to design the required fuzzy controllers and iterative convex optimization approaches are developed to solve the conditions.

Finally, one example is presented to show the effectiveness of the derived theoretical results.