Guaranteed Cost Control of Saturated Time-Varying Delay Systems

Abstract:

This paper mainly considers the control problem of saturated time-varying delay systems. Applying the saturation degree function and the convex hull theory to handle the saturated terms, we put forward the guaranteed cost controller of the system according to the Lyapunov-Krasovskii theorem. Then we make use of Schur complement to convert the QMI (quadratic matrix inequality) to a LMI (linear matrix inequality) and so it can be easily used as controller synthesis. Finally, we apply the guaranteed cost controller to a two dimentional time-varying delay cellular neural networks, and the simulation results show the effectiveness of the proposed controller.

• Periodical: Applied Mechanics and Materials (Volume 235)
• Pages: 129-134
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.235.129
• Online since: November 2012
• Authors: Han Lin He, Xiao Dong Wang, Wei Jun Li
• Keywords: Cellular Neural Networks, Convex Hull Theory, Guaranteed Cost, Saturated System, State Feedback, Time-Varying Delay

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