2019/06/04 by Elyar Zavary, Zavary, Elyar, Mahdi Sojoodi +1
Computer Science · Medicine · Physics and Astronomy · #Chaos control and synchronization #Distributed Control Multi-Agent Systems #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical and Theoretical Epidemiology and Ecology Models #Neural Networks Stability and Synchronization #Nonlinear Dynamics and Pattern Formation #Optimization and Control (math.OC)
paper · pdf · doi:10.48550/arxiv.1906.02139
openalex publication_date 2019/06/04 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28
This paper investigates the robust stabilisation of a class of\nfractional-order non-linear systems via fixed-order dynamic output feedback\ncontroller in terms of linear matrix inequalities (LMIs). The systematic\nstabilisation algorithm design for low-order controller based on direct\nLyapunov approach is proposed. In the presented algorithm the conditions\ncontaining the bilinear variables are decoupled into separate conditions\nwithout imposing equality constraints or considering an iterative search of the\ncontroller parameters. There is no any limiting constraint on the state space\nmatrices and also we assumed the most complete output feedback controller.\nSimulations results are given to approve the effectiveness and the\nstraightforwardness of the proposed design.\n