Controller synthesis for positive Takagi-Sugeno fuzzy systems under ℓ1 performance

ABSTRACT In this paper, the problem of ℓ1-induced controller design for positive Takagi-Sugeno (T-S) fuzzy systems is investigated with the use of linear Lyapunov function. A novel performance characterisation is first established to guarantee the asymptotic stability of the closed-loop system with ℓ1-induced performance. Moreover, sufficient conditions are presented to design the required fuzzy controllers and iterative convex optimisation approaches are developed to solve the conditions. Finally, two examples are presented to show the effectiveness of the derived theoretical results.

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