PI control of stable nonlinear plants using projected dynamical systems

Pietro Lorenzetti*, George Weiss

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

7 Scopus citations


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.

Original languageEnglish
Article number110606
StatePublished - Dec 2022


FundersFunder number
Identification and Control of Nonlinear Systems
Horizon 2020 Framework Programme
Israel Science Foundation
Horizon 20202802/21, 765579


    • Integral control
    • Nonlinear systems
    • PI control
    • Projected dynamical systems
    • Singular perturbations
    • Windup


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