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Event‐Triggered Distributed Model Predictive Control of Linear Systems With Additive Disturbances.

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Title: Event‐Triggered Distributed Model Predictive Control of Linear Systems With Additive Disturbances.
Authors: Du, Shengli1 (AUTHOR) shenglidu@bjut.edu.cn, Fang, Fang1 (AUTHOR), Cao, Boqi1 (AUTHOR), Wang, Xue‐Fang2 (AUTHOR)
Source: International Journal of Robust & Nonlinear Control. 3/10/2026, Vol. 36 Issue 4, p1581-1593. 13p.
Subjects: Linear systems, Closed loop system stability, Discrete-time systems, Control theory (Engineering), Optimal control theory, Stochastic control theory
Abstract: This article presents an event‐triggered distributed model predictive control (DMPC) framework for discrete‐time linear systems subject to additive bounded disturbances and dynamic couplings. Each subsystem uses a nominal model to formulate a local optimal control problem and employs an error‐based triggering condition that accounts for both its own state prediction error and asynchronously received neighbor predictions. To mitigate additive disturbances, we employ a dual‐mode strategy that applies the MPC law outside the terminal set and switches to a fixed linear feedback law within it to maintain invariance. Explicit conditions that ensure recursive feasibility, closed‐loop stability, and convergence to a disturbance‐invariant set are rigorously derived. Two illustrative case studies demonstrate that the proposed method markedly reduces triggering frequency while preserving control performance under asynchronous information exchange. [ABSTRACT FROM AUTHOR]
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Database: Engineering Source
Description
Abstract:This article presents an event‐triggered distributed model predictive control (DMPC) framework for discrete‐time linear systems subject to additive bounded disturbances and dynamic couplings. Each subsystem uses a nominal model to formulate a local optimal control problem and employs an error‐based triggering condition that accounts for both its own state prediction error and asynchronously received neighbor predictions. To mitigate additive disturbances, we employ a dual‐mode strategy that applies the MPC law outside the terminal set and switches to a fixed linear feedback law within it to maintain invariance. Explicit conditions that ensure recursive feasibility, closed‐loop stability, and convergence to a disturbance‐invariant set are rigorously derived. Two illustrative case studies demonstrate that the proposed method markedly reduces triggering frequency while preserving control performance under asynchronous information exchange. [ABSTRACT FROM AUTHOR]
ISSN:10498923
DOI:10.1002/rnc.70228