A class of non-linear fractional-order system stabilisation via fixed-order dynamic output feedback controller
For control engineers working with fractional-order nonlinear systems, this work provides a more straightforward LMI-based stabilization method, though it is incremental as it extends existing LMI techniques to a specific class of systems.
This paper proposes a systematic algorithm for robust stabilization of fractional-order nonlinear systems using fixed-order dynamic output feedback controllers, formulated via linear matrix inequalities (LMIs). The method decouples bilinear variables without equality constraints or iterative searches, and simulation results confirm its effectiveness.
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.