  This paper investigates the robust stabilisation of a class of
fractional-order non-linear systems via fixed-order dynamic output feedback
controller in terms of linear matrix inequalities (LMIs). The systematic
stabilisation algorithm design for low-order controller based on direct
Lyapunov approach is proposed. In the presented algorithm the conditions
containing the bilinear variables are decoupled into separate conditions
without imposing equality constraints or considering an iterative search of the
controller parameters. There is no any limiting constraint on the state space
matrices and also we assumed the most complete output feedback controller.
Simulations results are given to approve the effectiveness and the
straightforwardness of the proposed design.
