激光脉冲能量作用下隔离段激波形态及发展控制的数值研究

为了寻求有效的流动控制方法来降低隔离段总压损失，本文基于非定常雷诺平均的Navier-Stokes方程，探究激光脉冲能量沉积对二维及三维隔离段流场马赫反射的控制效果。在来流马赫数分别为1.61和2.51的隔离段流场马赫反射上游，加入脉冲能量沉积，对比激励流场与基础流场，结果表明：能量沉积主要通过高温热核和其诱导的压力波两种方式对马赫反射结构施加作用，显著地影响了马赫反射结构，促使Ma∞ =1.61来流工况下马赫杆的高度减小，马赫反射强度减弱；Ma∞ =2.51来流工况下的马赫反射结构转变为稳定的正规反射，减小了总压损失。控制过程包括：(1)能量沉积产生的局部高温降低当地马赫数，减小马赫反射强度；(2)高温热核诱导的弓形波与马赫反射相互作用，马赫反射结构变形；(3)以反压形式影响马赫反射。     

Formation control for networked multiagent systems with a minimum energy constraint

Minimum-energy formation achievement problems for networked multiagent systems are investigated, where information networks with leaderless and leader-follower structures are respectively addressed and information networks are randomly switching. The critical feature of this work is that the energy constraint is minimum in the sense of the linear matrix inequality, but limited-budget control and guaranteed-cost control cannot realize a minimum-energy formation. Firstly, the leaderless minimum-energy formation control problem is converted into an asymptotic stability one via a nonsingular transformation and state space decomposition, and based on linear matrix inequality techniques, sufficient conditions for analysis and design of leaderless minimum-energy formation achievement are proposed, respectively, which can be solved by the generalized eigenvalue method. Then, main results of minimum-energy formation achievement of leaderless networked multiagent systems are extended leader-follower networked multiagent systems, where the asymmetric property of the leader-follower information network is well dealt with by two nonsingular transformations. Finally, two simulation examples are shown to verify the main results for minimum-energy formation achievements of leaderless and leader-follower networked multiagent systems, respectively.