English

A class of non-linear fractional-order system stabilisation via fixed-order dynamic output feedback controller

Optimization and Control 2019-06-05 v2 Systems and Control Signal Processing Dynamical Systems Numerical Analysis

Abstract

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.

Keywords

Cite

@article{arxiv.1809.06365,
  title  = {A class of non-linear fractional-order system stabilisation via fixed-order dynamic output feedback controller},
  author = {Elyar Zavary and Mahdi Sojoodi},
  journal= {arXiv preprint arXiv:1809.06365},
  year   = {2019}
}

Comments

arXiv admin note: text overlap with arXiv:1809.03733

R2 v1 2026-06-23T04:09:08.602Z