论文标题
Euler-Lagrange系统的安全控制控制
Safe-by-Design Control for Euler-Lagrange Systems
论文作者
论文摘要
安全 - 关键控制的特征是确保给定动力学系统的约束满意度。零控制屏障功能(ZCBF)的最新发展为确保超级一组单个约束函数的安全提供了一个框架。 Euler-Lagrange系统代表许多现实世界中的系统,包括机器人和车辆,这些系统必须遵守安全监管,尤其是用于人类占领的环境中。这些安全法规包括状态限制(位置和速度)和必须始终尊重的输入约束。 ZCBF对于满足一般非线性系统的系统限制非常有价值,但是它们以满足状态和输入约束并不简单。此外,现有的屏障函数方法不能解决Euler-Lagrange系统安全所需的多个状态约束。在本文中,我们提出了一种方法,用于构建受输入限制的欧拉 - 拉格朗日系统的多个不冲突的控制屏障函数,以满足安全法规,同时同时考虑稳健性的余量和采样时间效应。所提出的方法由采样数据控制器和用于屏障功能构建的算法以实施安全性(即满足位置和速度约束)。在二元平面操纵器上的模拟中验证了所提出的方法。
Safety-critical control is characterized as ensuring constraint satisfaction for a given dynamical system. Recent developments in zeroing control barrier functions (ZCBFs) have provided a framework for ensuring safety of a superlevel set of a single constraint function. Euler-Lagrange systems represent many real-world systems including robots and vehicles, which must abide by safety-regulations, especially for use in human-occupied environments. These safety regulations include state constraints (position and velocity) and input constraints that must be respected at all times. ZCBFs are valuable for satisfying system constraints for general nonlinear systems, however their construction to satisfy state and input constraints is not straightforward. Furthermore, the existing barrier function methods do not address the multiple state constraints that are required for safety of Euler-Lagrange systems. In this paper, we propose a methodology to construct multiple, non-conflicting control barrier functions for Euler-Lagrange systems subject to input constraints to satisfy safety regulations, while concurrently taking into account robustness margins and sampling-time effects. The proposed approach consists of a sampled-data controller and an algorithm for barrier function construction to enforce safety (i.e satisfy position and velocity constraints). The proposed method is validated in simulation on a 2-DOF planar manipulator.