Robust H∞ Dynamic State-Feedback Control for Nonlinear Discrete-Time Systems via LMI-Based Regional Eigenvalue Assignment

Authors

W. Alexander Baker Jr., Marquette UniversityFollow
Susan C. Schneider, Marquette UniversityFollow
Edwin E. Yaz, Marquette UniversityFollow

Document Type

Conference Proceeding

Language

eng

Publication Date

2016

Publisher

American Society of Mechanical Engineers

Source Publication

ASME 2016 Dynamic Systems and Control Conference

Source ISSN

9780791850695

Abstract

This paper uses Linear Matrix Inequality (LMI) techniques to apply regional eigenvalue assignment constraints to a dynamic state-feedback controller design for discrete-time systems with vanishing nonlinear perturbations. The controller design also incorporates the H∞ performance criterion. The regional eigenvalue assignment place the eigenvalues of the linear part of the system in two distinct regions, one region for the controller eigenvalues and one region for the observer eigenvalues, in such a way that the state estimation error goes to zero significantly faster than the state reaches steady state.

Comments

Published as part of the proceedings of the conference, ASME 2016 Dynamic Systems and Control Conference, 2016. DOI.

Recommended Citation

Baker, W. Alexander Jr.; Schneider, Susan C.; and Yaz, Edwin E., "Robust H∞ Dynamic State-Feedback Control for Nonlinear Discrete-Time Systems via LMI-Based Regional Eigenvalue Assignment" (2016). Electrical and Computer Engineering Faculty Research and Publications. 277.
https://epublications.marquette.edu/electric_fac/277