Document Type
Article
Publication Date
2025
DOI
10.1016/j.ifacol.2025.12.231
Publication Title
IFAC-PapersOnLine
Volume
59
Issue
30
Pages
168-172
Abstract
An asymptotic state variable observer is proposed for a continuous-time bilinear dynamical system with the distinguishing feature that the error dynamics are globally asymptotically stable and independent of the applied input. Only the speed of convergence of the error dynamics may be input dependent. The approach is to apply classical Lyapunov stability theory using a convex optimization algorithm and linear matrix inequality (LMI) tools to in effect isolate the stability property of the error dynamics from the input. The LMIs are used to turn the nonconvex problem into a convex problem. The method is demonstrated on an induction motor drive.
Rights
© 2025 The Authors
This is an open access article under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) License.
Original Publication Citation
Haq, M. A., & Gray, W. S. (2025). Input independent observers for bilinear systems using convex optimization. IFAC-PapersOnLine, 59(30), 168-172. https://doi.org/10.1016/j.ifacol.2025.12.231
Repository Citation
Haq, M. Aminul and Gray, W. Steven, "Input Independent Observers for Bilinear Systems Using Convex Optimization" (2025). Electrical & Computer Engineering Faculty Publications. 588.
https://digitalcommons.odu.edu/ece_fac_pubs/588
ORCID
0009-0001-3341-626X (Haq), 0009-0004-0967-5052 (Gray)
Included in
Electrical and Computer Engineering Commons, Nuclear Engineering Commons, Operations Research, Systems Engineering and Industrial Engineering Commons