论文标题
通过事件触发的间歇性控制,稳定性和安全性,并应用于航天器轨道稳定
Stability and Safety through Event-Triggered Intermittent Control with Application to Spacecraft Orbit Stabilization
论文作者
论文摘要
在操纵能力的系统中,例如,航天器的资源很少,希望仅以间歇性的方式应用给定控制器 - 在控制器所在的位置和关闭的周期。由事件触发的控制范式激励,在该范式中使用了状态依赖的触发器,我们将此概念推广到包括状态触发器,其中控制器不在,从而为间歇性控制创建框架。我们的方法利用证书(Lyapunov或屏障功能),以设计保证稳定性或安全性的间歇性触发法律;在证书方面,将打开控制器的阶段,并关闭直到达到性能阈值。本文的主要结果是,当利用Lyapunov功能时,间歇性控制器方案保证(SET)稳定性以及在屏障功能的设置中安全(正向设置不变性)。结果,我们的触发设计可以利用执行器的间歇性,同时完成稳定或安全的任务。我们进一步证明了在航天器轨道稳定问题的背景下间歇控制的应用和益处。
In systems where the ability to actuate is a scarce resource, e.g., spacecrafts, it is desirable to only apply a given controller in an intermittent manner--with periods where the controller is on and periods where it is off. Motivated by the event-triggered control paradigm, where state-dependent triggers are utilized in a sample-and-hold context, we generalize this concept to include state triggers where the controller is off thereby creating a framework for intermittent control. Our approach utilizes certificates--either Lyapunov or barrier functions--to design intermittent trigger laws that guarantee stability or safety; the controller is turned on for the period for which is beneficial with regard to the certificate, and turned off until a performance threshold is reached. The main result of this paper is that the intermittent controller scheme guarantees (set) stability when Lyapunov functions are utilized, and safety (forward set invariance) in the setting of barrier functions. As a result, our trigger designs can leverage the intermittent nature of the actuator, and at the same time, achieve the task of stabilization or safety. We further demonstrate the application and benefits of intermittent control in the context of the spacecraft orbit stabilization problem.