Robust decentralized control of perturbed fractional-order linear interconnected systems via LMI approach

This paper devotes to studying the problem of decentralized control for a class of interconnected fractional- order uncertain systems. The necessary condition of robust stabilization is obtained. When there is no uncertainty, a simpler condition is derived. Both the conditions for certain and uncertain systems are expressed in terms of linear matrix inequalities (LMIs) which can be easily calculated with feasible solution problem by MATLAB LMI toolbox. The state feedback controller which guarantees the closed-loop system asymptotically stabilization can be designed. Furthermore, two examples for normal and perturbed system are given to demonstrate the effectiveness of the results respectively. And the state figures are obtained through simulink toolbox to verify the feasibility of the designed feedback controller.