论文标题
非线性系统的计算控制不变集：分解和分布式计算
Computing control invariant sets of nonlinear systems: decomposition and distributed computing
论文作者
论文摘要
在这项工作中，我们提出了一个基于用于计算非线性级联系统计算控制不变设置的图形算法的分布式框架。所提出的算法利用了过程网络中互连的结构。首先，总体系统被分解为具有重叠状态的几个子系统。其次，以分布式方式计算了子系统的控制不变设置。最后，从子系统解决方案重建整体系统的控制不变设置的近似值并经过验证。我们使用几个数值示例（包括六维连续搅拌坦克反应器系统）证明了所提出的方法对基于图形的算法的功效和收敛性。
In this work, we present a distributed framework based on the graph algorithm for computing control invariant set for nonlinear cascade systems. The proposed algorithm exploits the structure of the interconnections within a process network. First, the overall system is decomposed into several subsystems with overlapping states. Second, the control invariant set for the subsystems are computed in a distributed manner. Finally, an approximation of the control invariant set for the overall system is reconstructed from the subsystem solutions and validated. We demonstrate the efficacy and convergence of the proposed method to the centralized graph-based algorithm using several numerical examples including a six dimensional continuous stirred tank reactor system.
