论文标题
线性系统对部分失控授权的弹性
Resilience of Linear Systems to Partial Loss of Control Authority
论文作者
论文摘要
在失去控制权的损失之后，国际空间站失去了45分钟的态度控制，并带来了潜在的灾难性后果。在这种情况下，我们调查了控制系统继续执行其任务的能力，尽管对执行器的权威部分丧失。我们说，如果对任何不良输入和任何目标状态都有可接受的控制，则系统对这种故障具有弹性。在可控性条件和差异游戏理论的基础上，我们为线性系统的弹性建立了必要且充分的条件。由于他们的任务可能会受到时间的约束，因此仅确保仅完成就不够。我们还想估计，将故障系统与其标称性能进行了比较。依靠Lyapunov理论，我们在标称和故障系统的到达时间上得出了分析界限，以量化其弹性。我们说明了我们在欣赏战斗机模型和温度控制系统上的工作。
After a loss of control authority over thrusters of the Nauka module, the International Space Station lost attitude control for 45 minutes with potentially disastrous consequences. Motivated by this scenario, we investigate the continued capability of control systems to perform their task despite partial loss of authority over their actuators. We say that a system is resilient to such a malfunction if for any undesirable inputs and any target state there exists an admissible control driving the state to the target. Building on controllability conditions and differential games theory, we establish a necessary and sufficient condition for the resilience of linear systems. As their task might be time-constrained, ensuring completion alone is not sufficient. We also want to estimate how much slower the malfunctioning system is compared to its nominal performance. Relying on Lyapunov theory we derive analytical bounds on the reach times of the nominal and malfunctioning systems in order to quantify their resilience. We illustrate our work on the ADMIRE fighter jet model and on a temperature control system.
