Decentralized robust H ∞ controller design for fractional order interconnected systems with element-bounded uncertainties

In this paper, the decentralized H ∞ control problem for the fractional order interconnected systems with element-bounded uncertainties is investigated. A sufficient condition for designing the decentralized state feedback controllers, which guarantees that the fractional order closed loop interconnected systems are asymptotically stable and satisfy a prescribed H ∞ performance, is derived and transformed into the solvability problem of linear matrix inequalities. Furthermore, the gains of the decentralized state feedback controllers are optimized as low as possible by solving the convex optimization problem with linear matrix inequality constraints. A simulation example is given to demonstrate the validity of the proposed approach.