论文标题
非线性弱实时控制系统的稳定性分析
Stability Analysis for Nonlinear Weakly Hard Real-Time Control Systems
论文作者
论文摘要
本文考虑了反馈循环中失败的非线性采样数据系统的稳定性分析。故障是由共享资源引起的，并由弱硬实时（WHRT）辍学描述建模。 WHRT辍学描述用非稳定的，基于窗口的约束限制了所考虑的辍学序列，该序列源自调度性分析。所提出的方法基于从连续时间反馈中为非线性采样数据系统的控制器的仿真。仿真技术是扩展的，并与非单调的Lyapunov函数和WHRT约束的图形描述相结合，以保证渐近稳定性。文献中的数值示例说明了所提出的方法的有效性。本文是Hertneck等人接受的版本。 （2020），还包含主要结果的证明。
This paper considers the stability analysis for nonlinear sampled-data systems with failures in the feedback loop. The failures are caused by shared resources, and modeled by a weakly hard real-time (WHRT) dropout description. The WHRT dropout description restricts the considered dropout sequences with a non-probabilistic, window based constraint, that originates from schedulability analysis. The proposed approach is based on the emulation of a controller for the nonlinear sampled-data system from a continuous-time feedback. The emulation technique is extended and combined with non-monotonic Lyapunov functions and a graph description for the WHRT constraints to guarantee asymptotic stability. The effectiveness of the proposed approach is illustrated with a numerical example from literature. This paper is the accepted version of Hertneck et al. (2020), containing also proofs of the main results.
