This paper deals with the design of a robust control for linear systems with external disturbances using a homogeneous differentiator-based observer based on a implicit Lyapunov function approach. Sufficient conditions for stability of the closed-loop system in the presence of external disturbances are obtained and represented by linear matrix inequalities. The parameter tuning for both controller and observer is formulated as a semi-definite programming problem with linear matrix inequalities constraints. Simulation results illustrate the feasibility of the proposed approach and some improvements with respect to the classic linear observer approach.
|Number of pages||20|
|Journal||International Journal of Robust and Nonlinear Control|
|State||Published - 25 Jul 2017|
Bibliographical noteFunding Information:
This work was supported in part by the Government of Russian Federation (grant 074-U01) and the Ministry of Education and Science of Russian Federation (project 14.Z50.31.0031).
Copyright © 2016 John Wiley & Sons, Ltd.
- closed-loop stability
- homogeneous differentiator
- uncertain linear systems