Decentralized adaptive robust stabilization of uncertain interconnected time-delay systems

作者：Ghosh Sandip^*; Das Sarit K; Ray Goshaidas

来源：International Journal of Adaptive Control and Signal Processing, 2012, 26(1): 13-29.

DOI：10.1002/acs.1271

• time-delay system
• decentralized stabilization
• Lyapunov-Krasovkii functional
• uncertain system
• linear matrix inequality

This paper considers the problem of decentralized adaptive robust stabilization of a class of interconnected time-delay systems with arbitrarily bounded matched but limitedly bounded unmatched uncertainties. A new class of decentralized adaptive controllers based on LyapunovKrasovskii functional is proposed that guarantees bounded stability of the system and ensures nonfragileness of the controller to perturbations in its nonadaptive gain factor. The existence of such controllers is formulated in the LMI framework besides being presented using the Algebraic Riccati Equations. A numerical example is considered to illustrate the applicability and effectiveness of the proposed controller.

• 出版日期2012-1