Scheduling-based stabilization for networked stochastic systems with control-dependent noise

IF 4.8 2区计算机科学 Q1 AUTOMATION & CONTROL SYSTEMS

Automatica Pub Date : 2025-02-12 DOI:10.1016/j.automatica.2025.112192

Fengzhong Li, Yungang Liu

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引用次数: 0

Abstract

Communication constraint is prominent under the networked architecture, for which the scheduling problem needs to be considered. This paper aims at validating scheduling-based stabilization for networked stochastic systems (NSSs) characterized by the presence of control-dependent noise. Remarkably, control-dependent noise has never been taken into account in the context of scheduling-based control. Such noise has intricate impact on system stability, and should not be simply treated as an unfavorable factor. As such, sophisticated analysis is entailed for scheduling-based control in the stochastic setting. However, no available theory on stochastic stability could support the application of dynamic scheduling protocols confronted with control-dependent noise, while the case via static scheduling protocols can resort to the existing results on stochastic differential equations with bounded-delay dependent diffusion coefficients. As the main contribution, a framework of scheduling-based stabilization is established for the NSSs, covering the architecture where a certain dynamic protocol rules the scheduling of sensor-to-controller information transmission. Crucially, a distinct pattern of stability analysis is proposed based on delicate comparison between the solutions under scheduling-based (discrete-time) and network-free (continuous-time) controls. As a consequence, an intrinsic relation between the system stability rendered by two types of controls is revealed, with the network-induced error on measured output suitably exploited. Based on the relation, we further propose several directly-verifiable conditions of achieving almost sure exponential stability for the NSSs with scheduling-based control via try-once-discard protocol, the most typical one among dynamic scheduling protocols. Particularly, incorporating the underlying positive effect of the stochastic noise, one of the conditions allows the Lyapunov function candidates to have non-negative infinitesimal under corresponding continuous-time control, while no counterpart exists in the non-stochastic setting.

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来源期刊

Automatica 工程技术-工程：电子与电气

CiteScore

10.70

自引率

7.80%

发文量

617

审稿时长

5 months

期刊介绍： Automatica is a leading archival publication in the field of systems and control. The field encompasses today a broad set of areas and topics, and is thriving not only within itself but also in terms of its impact on other fields, such as communications, computers, biology, energy and economics. Since its inception in 1963, Automatica has kept abreast with the evolution of the field over the years, and has emerged as a leading publication driving the trends in the field. After being founded in 1963, Automatica became a journal of the International Federation of Automatic Control (IFAC) in 1969. It features a characteristic blend of theoretical and applied papers of archival, lasting value, reporting cutting edge research results by authors across the globe. It features articles in distinct categories, including regular, brief and survey papers, technical communiqués, correspondence items, as well as reviews on published books of interest to the readership. It occasionally publishes special issues on emerging new topics or established mature topics of interest to a broad audience. Automatica solicits original high-quality contributions in all the categories listed above, and in all areas of systems and control interpreted in a broad sense and evolving constantly. They may be submitted directly to a subject editor or to the Editor-in-Chief if not sure about the subject area. Editorial procedures in place assure careful, fair, and prompt handling of all submitted articles. Accepted papers appear in the journal in the shortest time feasible given production time constraints.