PI control of stable nonlinear plants using projected dynamical systems

Lorenzetti, Pietro; Weiss, George H.

doi:10.1016/j.automatica.2022.110606

Cited by 9 publications

(1 citation statement)

References 22 publications

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“…In this sense, we can understand incremental asymptotic stability as the property of every solution of the system to be asymptotically stable. The interest in incremental properties is increasing in the control community, due to the application in many control problems such as observers design [13]- [15], output regulation [11], [16]- [18], and multi-agent synchronization [19]- [22]. In order to characterize the incremental properties, many different tools have been proposed: incremental Lyapunov functions [1], [2]; Finsler-Lyapunov function [3], [4]; matrix measures based on both Euclidean and non-Euclidean norms [5]- [7]; weak-pairings [7]; and Riemannian metrics conditions [8]- [10].…”

Section: Introductionmentioning

confidence: 99%

Further Results on Incremental Input-to-State Stability Based on Contraction-Metric Analysis

Giaccagli,

Astolfi,

Andrieu

2023

2023 62nd IEEE Conference on Decision and Control (CDC)

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In this paper, we study the notion of incremental stability for continuous-time nonlinear systems forced by some external input. Thanks to the notion of "Killing vector field", we provide a set of sufficient conditions based on a metric analysis for an input-affine system to be incrementally inputto-state stable (δISS) and show that this also implies that its lifted system is transversally ISS. We conclude by providing a design achieving incremental ISS properties for the closed-loop system by means of a state-feedback control law that possesses an infinite gain margin property.

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