分布式控制系统稳定性分析及控制器设计

针对存在总线通信时延和掉包的航空发动机分布式控制系统,分别进行了时延和掉包情况下的系统建模和稳定性分析;利用增广离散化方法将时延系统转化为增广无时延模型,利用迭代方法将数据掉包建模为一定掉包界内的切换系统;分别提出时延和掉包条件下系统的稳定性条件,并通过求解线性矩阵不等式确定系统输出反馈控制增益;最后比较了基于保持输入和重构增益的2种掉包补偿措施。研究结果表明:采用基于时延的反馈控制增益设计和重构增益掉包补偿措施,可以保证分布式发动机控制系统的稳定性并获得最佳性能。

Controller Design and Stability Analysis for DCS with Communication Delay and Packet Dropout

System modeling and stability analysis were implemented for the distributed engine control system with communication delay and packet dropout respectively. Deterministic augmented discrete-time approach was adopted to convert the time delayed system into augmented discrete-time model. The bounded data dropout system was modeled as a switching system with an iterative method. Stability conditions were presented for the proposed control system under the presence of network-induced time delay and random data loss. The output feedback gains were obtained by solving linear matrix inequalities. Finally, a performance comparison was presented between holdinput and reconfigurable data loss compensation strategy. It is shown that the optimum overall performance of the distributed engine control system was obtained when the controller was designed based on networked induced time delay with a reconfigurable data loss compensation strategy.