Stability analysis and stabilization of uncertain large-scale fractional order interconnected systems

The paper investigates the problem of the asymptotical stability and stabilization of uncertain large-scale fractional order interconnected system. On the basis of the stability criterion of fractional order system, sufficient conditions are firstly derived for the asymptotical stability of fractional order large-scale interconnected system with norm-bounded uncertainties. Then, sufficient conditions on robust stabilization of large-scale fractional order interconnected system with norm-bounded uncertainties are established based on a complex Lyapunov inequality described in the form of LMIs. Furthermore, decentralized stabilization state feedback controllers are designed. Numerical example is used to illustrate the effectiveness of the proposed method.