Nonlinear Analysis: Hybrid Systems ( IF 4.2 ) Pub Date : 2021-03-16 , DOI: 10.1016/j.nahs.2021.101039 Carolina Albea , Alexandre Seuret
This paper focuses on the design of both periodic time- and event-triggered control laws of switched affine systems using a hybrid dynamical system approach. The novelties of this paper rely on the hybrid dynamical representation of this class of systems and on a free-matrix min-projection control, which relaxes the structure of the usual Lyapunov matrix-based min-projection control. This contribution also presents an extension of the usual periodic time-triggered implementation to the event-triggered one, where the control input updates are permitted only when a particular event is detected. Together with the definition of an appropriate optimization problem, a stabilization result is formulated to ensure the uniform global asymptotic stability of an attractor for both types of controllers, which is a neighborhood of the desired operating point. Finally, the proposed method is evaluated through a numerical example.
中文翻译:
通过混合动力学方法对仿射系统进行时间触发和事件触发控制
本文着重使用混合动力系统方法设计交换仿射系统的周期时间和事件触发控制律。本文的新颖性依赖于此类系统的混合动力学表示以及自由矩阵最小投影控制,这放松了通常基于Lyapunov矩阵的最小投影控制的结构。此贡献还表示将常规的定期时间触发实现扩展为事件触发实现,其中仅当检测到特定事件时才允许控制输入更新。连同适当优化问题的定义一起,制定了稳定结果,以确保两种类型的控制器的吸引子具有统一的全局渐近稳定性,这是所需工作点附近。