Synthesis of Interval Observers for Nonlinear Discrete-Time Systems
Optimization and Control
2020-11-10 v1 Systems and Control
Systems and Control
Abstract
A systematic procedure to synthesize interval observers for nonlinear discrete-time systems is proposed. The feedback gains and other matrices are found from the solutions to semidefinite feasibility programs. Two cases are considered: (1) the interval observer is in the same coordinate frame as the given system, and (2) the interval observer uses a coordinate transformation. The conditions where coordinate transformations are necessary are detailed. Numerical examples are provided to showcase the effectiveness of the interval observers and demonstrate their application to sampled-data systems.
Cite
@article{arxiv.2011.04093,
title = {Synthesis of Interval Observers for Nonlinear Discrete-Time Systems},
author = {Adam M Tahir and Behcet Acikmese},
journal= {arXiv preprint arXiv:2011.04093},
year = {2020}
}