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Event‐triggered H‐infinity stabilization for singular systems with state delay

Zhaoping Du, Songlin Hu, Jianzhen Li

2020Asian Journal of Control26 citationsDOI

Abstract

Abstract This paper is concerned with the problems of stability analysis, controller design, and H ∞ control for singular systems with state delay and disturbance based on event‐triggered control. Firstly, the corresponding model of this system is proposed, taking into consideration issues of regular, impulse free, and stability. According to the model, the admissible condition is derived in terms of Lyapunov‐Krasovskii stability theory, and the co‐design method of the H ∞ controller and event‐triggered scheme is also presented based on the above results. The presented method emphasizes the employment of event‐triggered control to a class of singular systems with time delay. Finally, two simulation examples are provided to illustrate the effectiveness of the proposed method.

Topics & Concepts

Control theory (sociology)Impulse (physics)Stability (learning theory)Controller (irrigation)MathematicsState (computer science)Full state feedbackLyapunov stabilityComputer scienceControl (management)AlgorithmArtificial intelligenceQuantum mechanicsAgronomyMachine learningBiologyPhysicsStability and Control of Uncertain SystemsNeural Networks Stability and SynchronizationControl and Stability of Dynamical Systems
Event‐triggered H‐infinity stabilization for singular systems with state delay | Litcius