Robust output‐control for uncertain linear systems: Homogeneous differentiator‐based observer approach. (3rd September 2016)

• Record Type: Journal Article
• Authors: Ríos, H.; Mera, M.; Efimov, D.; Polyakov, A.
• Is Part Of: International journal of robust and nonlinear control. Volume 27:Number 11(2017)
• Page Start: 1895
• Page End: 1914
• Publication Date: 2016-09-03
• Subjects: uncertain linear systems -- closed‐loop stability -- homogeneous differentiator; Automatic control -- Periodicals; Control theory -- Periodicals; Nonlinear systems -- Periodicals; 629.836
• DOI: 10.1002/rnc.3643
• Languages: English
• ISSNs: 1049-8923

Abstract

Summary: 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. Copyright © 2016 John Wiley & Sons, Ltd.