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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。
For a class of networked control systems subject to Bernoulli distribution of packet loss, the design of the guaranteed cost controller is discussed. The networked control system is modeled as a discrete system with uncertain parameters. Based on the Lyapunov stability theory, The stability conditions of the system are given. Combined with an optimal quadratic performance index, the existence of the guaranteed cost controller for this type of system is deduced. The design problem of the guaranteed cost controller is transformed into solving the linear matrix inequality (LMI) Feasible solution to the problem. Finally, a simulation example is given to verify the effectiveness and feasibility of this control method.