Event-Triggered Control for Nonlinear Time-Delay Systems
Kexue Zhang, Bahman Gharesifard, Elena Braverman
Abstract
This article studies the event-triggered control problem of general nonlinear systems with time delay. A novel event-triggering scheme is presented with two tunable design parameters, based on a Lyapunov functional result for the input-to-state stability of time-delay systems. The proposed event-triggered control algorithm guarantees the resulting closed-loop systems to be globally asymptotically stable, uniformly bounded, and/or globally attractive for different choices of these parameters. Sufficient conditions on the parameters are derived to exclude Zeno behavior. Two illustrative examples are studied to demonstrate our theoretical results.
Topics & Concepts
Control theory (sociology)Bounded functionNonlinear systemZeno's paradoxesStability (learning theory)Computer scienceEvent (particle physics)Exponential stabilityStability theoryMathematicsControl systemControl (management)EngineeringGeometryArtificial intelligenceElectrical engineeringMachine learningQuantum mechanicsMathematical analysisPhysicsStability and Control of Uncertain SystemsAdaptive Control of Nonlinear SystemsDistributed Control Multi-Agent Systems