线性中立时滞系统的时滞相关H_∞控制

Delay-Dependent H_∞ Control of Linear Neutral Delay Systems

研究了一类线性中立时滞系统的时滞依赖型H∞状态反馈控制器的设计问题·基于时域H∞性能概念,利用Lyapunov Krasovskii稳定性定理和线性矩阵不等式方法,首先建立了一个时滞依赖型稳定性准则,然后给出了一个使该中立时滞系统达到渐近稳定且满足给定H∞范数的充分条件,以此为基础,给出了H∞状态反馈控制器存在的充分条件与设计方案,所得结论与该系统的时滞无关H∞控制器相比具有较小的保守性·最后,仿真结果验证了此方法的有效性与正确性·

The design of H_∞ static feedback controller is studied for a class of linear neutral delay systems. Based on the concept of H_∞ performance in time domain, Lyapunov-Krasovskii stability theorem and linear matrix inequalities are used to establish a delay-dependent stability criterion, then a sufficient condition is derived to stabilize asymptotically the neutral system under consideration and satisfy the desired H_∞ bound constraint on the disturbance attenuation. Furthermore, a sufficient condition is given to the existence of a H_∞ memoryless state-feedback controller with a conceptual design provided. The conclusion thus drawn shows less conservativeness in comparison with the delay-independent H_∞ controller of the system under consideration. Finally, a numerical simulation verifies the validity and effectiveness of the proposed approach.