Stability and Control of Uncertain Systems

Controlling a system becomes considerably harder when its model is imperfect, when sensors and actuators communicate over shared networks subject to delays and packet loss, or when the system abruptly switches between different operating modes. Researchers in this area develop mathematical frameworks—drawing on Lyapunov stability theory, robust optimization, and tools like H∞ synthesis and fuzzy logic—to certify that a controller will keep such systems safe and well-behaved despite these uncertainties. A central open challenge is designing controllers that are both provably stable and computationally light enough to run under tight communication constraints, which has led to growing interest in event-triggered schemes that transmit data only when genuinely necessary rather than on a fixed clock. Ongoing work is pushing these ideas toward large-scale networked and cyber-physical systems, where the interplay between distributed computation, heterogeneous delays, and adversarial disturbances raises questions that existing theory does not yet fully answer.

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78,261

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1,285,851

Keywords

Networked Control SystemsStability AnalysisEvent-Triggered ControlTime-Delay SystemsRobust ControlSwitched Systems