网络控制系统的H∞状态反馈控制器设计

研究了对网络控制系统如何设计H∞状态反馈控制器.这些网络控制系统中存在不确定的网络时延和数据包丢失.当网络时延和连续丢包有界时,可以将系统建模为具有时变输入时滞的系统,利用Lyapunov-Krasovskii泛函,推导出网络控制系统渐近稳定的充分条件.将这些充分条件转化为带等式约束的LMIs,并对他们进行迭代求解,就可以构造H∞控制器.与现有结果相比,在推导稳定性条件时本文对交叉项采取了更紧的界定,并且在设计控制器时无需知道调节参数.因此,本文提出的方法具有更低的保守性.仿真结果说明了本方法的正确性和有效性.

H-infinity state-feedback controller design for networked control systems

The H-infinity state-feedback controller design for networked control systems (NCSs) with uncertain network-induced delay and data packet dropout is studied.Given the bound of data packet losses and the bound of network- induced delays,the NCS can be modeled as a system with time-varying input delay.Based on the Lyapunov- Krasovskii functional,the sufficient conditions for asymptotic stability of the NCS are derived.These sufficient conditions are trans- formed into LMIs with equation constraints,and the H-infinity controller can be constructed by iteratively solving these LMIs.Compared with the existing results,tighter bounding of the cross terms is employed in deriving stability conditions; moreover,the knowledge of tuning parameters is not required in designing the controller.Therefore,the proposed method is less conservative in design.Simulation example shows the validity and feasibility of the results.