Stability and Control of Uncertain Systems

Controlling a system becomes significantly harder when the system's behavior is only partially known, when sensors and actuators communicate over shared networks, or when signals arrive late or out of order. Researchers in this area develop mathematical frameworks—drawing on tools like Lyapunov stability theory, H-infinity optimization, and fuzzy logic—to guarantee that a controller will keep a system safe and well-behaved even under uncertainty, delay, and communication constraints. A central challenge is designing event-triggered strategies that decide *when* to transmit data rather than doing so at fixed intervals, reducing network load without sacrificing stability guarantees. Open questions include how to handle switching between multiple system modes in a provably robust way, and how to scale distributed control methods to large networks where global information is unavailable.

Works

77,677

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1,280,770

Keywords

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