Robust resilient controllers synthesis for uncertain fractional order large-scale interconnected system in the case of 1

Abstract

The paper solves the problem of stabilization of large-scale fractional order interconnected system with a commensurate order 1 <α < 2 under controller gain perturbations. On the basis of the stability criterion of fractional order system, sufficient conditions on the decentralized stabilization of fractional order large-scale interconnected system with norm-bounded uncertainties are presented by applying a complex Lyapunov inequality. Furthermore, decentralized stabilization resilient controllers are designed. Numerical examples are used to illustrate the effectiveness of the proposed method.