不确定线性时滞中立系统的鲁棒无源控制(英文)

Robust Passive Control of Uncertain Linear Neutral Systems with Time-delays

研究了带有中立和离散滞后的不确定中立系统的鲁棒无源控制.设计了使不确定时滞中立系统鲁棒稳定和无源的状态反馈控制器.通过线性矩阵不等式和Lyapunov函数,在系统的时间滞后和不确定参数范数有界的约束条件下,给出了系统无源稳定的条件和期望的状态反馈控制器的表达式.最后给出的数值例子说明了设计方法的有效性.

This paper focuses on the passive control of uncertain neutral systems with mixed neutral and discrete delays. The problem aims at designing a state feedback controller so that the uncertain neutral systems with delays are robust stable and passive. In terms of a linear matrix inequality （LMI） and Lyapunov function, the passive stability criteria is formulated. At the same time, the explicit expression of the desired state feedback controller is also given. The systems under consideration are subject to time-delay and norm-bounded parameter uncertainties in the states. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed approach.