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In this paper, the cooperative control of fractional-order multi-agent systems with time delay and unknown control direction is studied by combining frequency distributed model and event-triggered mechanism. The Nussbaum function is employed to address the unmeasured control direction. Then, through the event-triggered mechanism, a corresponding controller is designed, which can guarantee that all signals are bounded while saving resources. The proposed theme is convenient for analyzing the stability of fractional-order systems based on a transformation of frequency distributed model. In particular, in order to enhance the universality of the proposed scheme in the fractional-order system stability analysis, a generalized fractional-order generalized lemma with respect to the Nussbaum function is given. Finally, the availability of the proposed method is confirmed by a simulation example. [ABSTRACT FROM AUTHOR]

In this paper, tracking control of strict feedback fractional-order nonlinear systems with unmeasurable states and fuzzy dead-zone input is studied. A state observer and a series-parallel model are established to construct prediction errors, and then a compound adaption law that uses both instantaneous errors and prediction errors is constructed. The fuzzy dead-zone is defuzzified so that its information can be directly used in the controller design. In addition, compared with the traditional fuzzy control, under the same number of fuzzy rules, the control scheme including compound adaption law can improve the approximation accuracy of the fuzzy logic systems to a great extent while achieving the control objective. Finally, through a numerical simulation, the effectiveness of the proposed scheme is verified.