Robust output consensus for a class of fractional-order interval multi-agent systems. (English) Zbl 07872700
Summary: This paper is devoted to the robust output consensus problem of fractional-order interval multi-agent systems (FOIMASs) with fixed undirected topologies, where the fractional order, the system matrix, and the input matrix are perturbed simultaneously, and there exist linear coupling relationships among the fractional order and the perturbations of the system matrix and the input matrix. According to the information of the agents’ neighbors, we design a distributed output feedback protocol. A sufficient condition guaranteeing the robust output consensus of FOIMASs is derived in terms of nonlinear matrix inequalities. By the matrix transformation and the singular value decomposition, the nonlinear matrix inequalities are transformed into linear matrix inequalities, and the output feedback gain matrix is obtained. A numerical simulation example is presented to demonstrate the effectiveness of the proposed method.
© 2019 Chinese Automatic Control Society and John Wiley & Sons Australia, Ltd
© 2019 Chinese Automatic Control Society and John Wiley & Sons Australia, Ltd
MSC:
| 93-XX | Systems theory; control |
Keywords:
fractional-order interval multi-agent systems; interval uncertainties; linear matrix inequalities; output feedback control; robust output consensusReferences:
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