An indirect Lyapunov approach to the observer-based robust control for fractional-order complex dynamic networks

This paper concerns with the problem of the observer-based robust control for a class of fractional-order complex dynamic networks. First, by introducing a continuous frequency distributed equivalent model and using indirect Lyapunov approach, the sufficient condition for robust asymptotic stability of the closed-loop systems via state observer-based control is presented. Next, using matrix׳s singular value decomposition (SVD) and linear matrix inequality (LMI) techniques, the existence condition and method of designing a robust non-fragile observer-based controller are derived. Finally, the validity of the proposed methods are demonstrated by a numerical example.