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针对遵循轮叫调度协议的时延网络控制系统,研究了系统在不等间隔采样下的鲁棒H_∞控制。首先,建立了遵循轮叫调度协议的网络控制系统在不等间隔采样下的系统切换模型。通过运用Lyapunov-Krasovskii泛函和鲁棒H_∞控制理论,得到了闭环系统时延依赖稳定性判据。然后,把结论推广到了不确定网络控制系统,并获得了系统的时延依赖稳定性判据。最后,通过一个与其他文献方法相比的实例,说明了该方法的可行性和先进性。
Aiming at the delay networked control system which conforms to the round robin scheduling protocol, the robust H_∞control of the system under unequal interval sampling is studied. First of all, the system switching model of the networked control system following the round robin scheduling protocol is set up under unequal interval sampling. By using Lyapunov-Krasovskii functional and robust H_∞control theory, the delay-dependent stability criterion of closed-loop system is obtained. Then, the conclusion is generalized to the uncertain networked control system, and the system’s delay-dependent stability criterion is obtained. Finally, an example compared with other literature methods illustrates the feasibility and advanced nature of this method.