Synthèse non quadratique H$\infty$ de contrôleurs décentralisés pour un ensemble de descripteurs flous T-S interconnectés
This work addresses control design for complex interconnected systems, but it appears incremental as it builds on existing fuzzy and decentralized control methods.
The paper tackles the decentralized stabilization of interconnected Takagi-Sugeno fuzzy descriptor systems using a non-quadratic H∞ criterion to ensure stability and minimize interconnection effects, with results demonstrated through a numerical example.
This paper deals with the non-quadratic decentralized stabilization of a set of n Takagi-Sugeno descriptors. To ensure the stability of the whole closed-loop dynamics and to minimize interconnection effects between subsystems, the main result allows designing a network of non Parallel Distributed Compensation control laws via a H $\infty$ criterion. Sufficient conditions, obtained from a non quadratic fuzzy Lyapunov approach, are provided in terms of Linear Matrix Inequalities. Finally, a numerical example illustrates the efficiency of the proposed decentralized control approach.