具有伯努利分布丢包网络控制系统的保性能控制器设计

Guaranteed Cost Controllers Design for Networked Control System with Data Losses Obeying Bernoulli Distribution

针对一类服从伯努利分布丢包的网络控制系统,讨论了其保性能控制器的设计问题,将网络控制系统建模为一类具有不确定性参数的离散系统,利用Lyapunov稳定性理论,给出了系统的稳定性条件,结合一个最优二次型性能指标,推导出该类系统保性能控制器的存在性,并将系统保性能控制器设计问题转换为求解线性矩阵不等式(LMI)可行解问题。最后,通过仿真算例验证了此控制方法的有效性和可行性。

Regarding a class of networked control system with data losses obeying Bernoulli distribution, the problem of designing guaranteed cost controller is researched. The networked control systems are modeled as discrete systems with uncertain parameters. Based on Lyapunov stability theory, system stability is discussed. By combining with a given optimal quadratic performance index, the existence of guaranteed cost controllers is deduced. Moreover, based on LMI toolbox, the corresponding design method of guaranteed cost controller is proposed. Finally, the simulation is included for example to demonstrate the effectiveness and feasibility of the method.