Adaptive Fuzzy Control for Fractional-Order Interconnected Systems With Unknown Control Directions

This paper concentrates on the study of decentralized fuzzy control method for a class fractional-order interconnected systems with unknown directions. To overcome difficulties caused by multiple directions in systems, novel Nussbaum function technique is proposed. much more general than those existing works since it not only handles single/multiple but also suitable fractional/integer-order single/interconnected systems. Based this technique, new adaptive proposed Smooth functions are introduced to compensate interactions among subsystems adaptively. Furthermore, logic utilized approximate nonlinearities. It proven that designed controller can guarantee boundedness all signals and convergence tracking errors. Two examples given show validity method.