Observer-based control design for a class of nonlinear systems subject to unknown inputs: LMI approach

Delshad, Saleh S.; S. Delshad, Iman; Gustafsson, Thomas; Karimi, Hamid Reza; Zemouche, Ali

Abstract

© 2015 Institute of Control, Robotics and Systems - ICROS. This paper deals with the problem of observer-based controller design for a class of nonlinear systems subject to unknown inputs. A novel method is presented to design a controller using estimated state variables which guarantees all the state variables of the closed-loop system converge to the vicinity of the origin and stay there forever. This is done via satisfying several sufficient conditions in terms of nonlinear matrix inequalities. In light of linear algebra, particularly matrix decompositions, the achieved conditions will be converted to a Linear Matrix Inequality (LMI) problem to facilitate the procedure of computing the observer and controller gains. Finally, the effectiveness of the proposed method is illustrated by implementing on a highly nonlinear chaotic system.

Citation

Delshad, S. S., S. Delshad, I., Gustafsson, T., Karimi, H. R., & Zemouche, A. (2015). Observer-based control design for a class of nonlinear systems subject to unknown inputs: LMI approach. . https://doi.org/10.1109/ICCAS.2015.7364768

• Conference Name: ICCAS 2015 - 2015 15th International Conference on Control, Automation and Systems, Proceedings
• Acceptance Date: Jun 8, 2015
• Online Publication Date: Dec 28, 2015
• Publication Date: Dec 23, 2015
• Pages: 984-989
• DOI: https://doi.org/10.1109/ICCAS.2015.7364768
• Keywords: nonlinear systems, unknown inputs, observer-based control design, linear matrix inequality
• Public URL: https://uwe-repository.worktribe.com/output/804615
• Publisher URL: http://dx.doi.org/10.1109/ICCAS.2015.7364768
• Additional Information: Title of Conference or Conference Proceedings : 15th International Conference on Control, Automation and Systems (ICCAS)