05884945

j

05884945 Mahmoud, Magdi S. Al-Rayyah, Ali Y. Xia, Yuanqing Quantized feedback stabilization of interconnected continuous time-delay systems. IMA J. Math. Control Inf. 28, No. 1, 1-17 (2011). 2011 Oxford University Press, Oxford EN quantized feedback control interconnected time-delay systems quantizer delay-dependent stabilization LMIs

doi:10.1093/imamci/dnq018

Summary: The problem of quantized feedback stabilization is approached from a generalized setting by designing a decentralized ${\cal H}_\infty$ feedback control for a class of linear interconnected continuous-time systems with unknown-but-bounded couplings and interval delays and where the quantizer has arbitrary form that satisfies a quadratic inequality constraint. An LMI-based method using a decentralized quantized output-feedback controller is designed at the subsystem level to render the closed-loop system delay-dependent asymptotically stable with guaranteed $\gamma $-level. It is established that this setting encompasses several special cases of interest including interconnected delay-free systems, single time-delay systems and single systems. We illustrate the theoretical developments by numerical simulations.