Certifying Stability and Performance of Uncertain Differential-Algebraic Systems: A Dissipativity Framework
arxiv(2023)
Abstract
This paper presents a novel framework for characterizing dissipativity of
uncertain systems whose dynamics evolve according to differential-algebraic
equations. Sufficient conditions for dissipativity (specializing to, e.g.,
stability or L_2 gain bounds) are provided in the case that uncertainties are
characterized by integral quadratic constraints. For polynomial or linear
dynamics, these conditions can be efficiently verified through sum-of-squares
or semidefinite programming. Performance analysis of the IEEE 39-bus power
network with a set of potential line failures modeled as an uncertainty set
provides an illustrative example that highlights the computational tractability
of this approach; conservatism introduced in this example is shown to be quite
minimal.
MoreTranslated text
AI Read Science
Must-Reading Tree
Example
Generate MRT to find the research sequence of this paper
Chat Paper
Summary is being generated by the instructions you defined