This paper addresses the problem of dissipative proportional–integral–derivative (PID) control for the delayed positive Roesser system with interval uncertainties under the try-once-discard (TOD) protocol. To alleviate the undesired data congestion phenomenon in the shared communication network, the TOD protocol is introduced to regulate which sensor node could release its measurement at each transmission instant. An output-feedback-based PID controller is designed for the two-dimensional (2-D) system with TOD protocol. Based on the co-positive Lyapunov–Krasovskii function method, sufficient criteria in the linear programming form are attained to ensure the positivity, 2-D --dissipativity and robust asymptotic stability of the closed-loop system. Finally, an illustrative example is given to show effectiveness of the PID control scheme designed.

中文翻译：

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尝试一次丢弃协议下不确定正Roesser系统的耗散PID控制

本文解决了尝试一次丢弃（TOD）协议下具有区间不确定性的延迟正 Roesser 系统的耗散比例积分微分（PID）控制问题。为了缓解共享通信网络中不期望的数据拥塞现象，引入TOD协议来规定哪个传感器节点可以在每个传输时刻释放其测量结果。基于输出反馈的 PID 控制器是为具有 TOD 协议的二维 (2-D) 系统设计的。基于共正Lyapunov-Krasovskii函数方法，获得了线性规划形式的充分判据，保证了闭环系统的正性、二维耗散性和鲁棒渐近稳定性。最后，给出了一个说明性例子来说明所设计的PID控制方案的有效性。