PI control of stable nonlinear plants using projected dynamical systems
Abstract
This paper presents a novel anti-windup proportional-integral controller for stable multi-input multi-output nonlinear plants. We use tools from projected dynamical systems theory to force the integrator state to remain in a desired (compact and convex) region, such that the plant input steady-state values satisfy the operational constraints of the problem. Under suitable monotonicity assumptions on the plant steady-state input-output map, we use singular perturbation theory results to prove the existence of a sufficiently small controller gain ensuring closed-loop (local) exponential stability and reference tracking for a feasible set of constant references. We suggest a particular controller design, which embeds (when possible) the right inverse of the plant steady-state input-output map. The relevance of the proposed controller scheme is validated through an application in the power systems domain, namely, the output (active and reactive) power regulation for a grid-connected synchronverter.
Cite
@article{arxiv.2207.08771,
title = {PI control of stable nonlinear plants using projected dynamical systems},
author = {Pietro Lorenzetti and George Weiss},
journal= {arXiv preprint arXiv:2207.08771},
year = {2022}
}