In this work, a discrete-time output regulator design is proposed for a class of gas pipeline networks to meet various operating requirements in energy scheduling. Based on the isothermal Euler equations, linearized continuous-time gas pipeline network models with boundary actuation and sensing in the infinite-dimensional space are established, with consideration of Rankine–Hugoniot conditions at junction joints. Cayley–Tustin bilinear transformation is applied for model time discretization without any spatial approximation, by which the continuous-time model with unbounded operators is transformed into an infinite-dimensional discrete-time system with all bounded operators and essential continuous-time properties are invariant under this transformation. Based on the internal model principle, the discrete output regulator is constructed and its solvability conditions are provided. Considering the unavailability of the full state information, observer design methods for state estimation of exogenous and pipeline systems are proposed in order to construct an output feedback regulator. Additionally, a stability analysis of the considered pipeline system is provided. Finally, two simulation examples representing a single gas pipeline and a star-shaped pipeline network are given to demonstrate the applicability of the proposed method.

在这项工作中，针对一类燃气管道网络提出了一种离散时间输出调节器设计，以满足能源调度中的各种运行要求。在等温欧拉方程的基础上，考虑了连接点处的兰金-休格尼奥特条件，建立了在无限维空间中具有边界驱动和感应的线性化连续时间天然气管网模型。Cayley–Tustin双线性变换适用于模型时间离散化，而无需任何空间近似，通过该方法，具有无界算子的连续时间模型被转换为具有所有有界算子的无限维离散时间系统，并且在以下条件下基本连续时间特性不变这种转变。根据内部模型原理，构造了分立式输出调节器，并提供了其可解性条件。考虑到全状态信息的不可用性，提出了一种观察器设计方法，用于估计外源和管道系统的状态，以构建输出反馈调节器。另外，提供了所考虑的管道系统的稳定性分析。最后，给出了两个模拟实例，分别代表一条天然气管道和一个星形管道网络，以证明该方法的适用性。提供了所考虑的管道系统的稳定性分析。最后，给出了两个模拟实例，分别代表一条天然气管道和一个星形管道网络，以证明该方法的适用性。提供了所考虑的管道系统的稳定性分析。最后，给出了两个模拟实例，分别代表一条天然气管道和一个星形管道网络，以证明该方法的适用性。