论文标题
具有恒定延迟和时变延迟的系统：开关系统方法和对观察者控制器共同设计的应用
Systems with both constant and time-varying delays: a switched systems approach and application to observer-controller co-design
论文作者
论文摘要
在本文中，我们研究了开关系统稳定性标准的应用，以得出受常数和随时间变化延迟影响的系统的延迟依赖性条件。我们方法的主要新颖性在于使用路径完整的Lyapunov技术，以及新的修改功能以获得凸分析条件的命题，同时避免在\ \ textIt {switchEt the SwitchEt for Assite for time-ealay Systems中计算每个模式的计算每个模式的停留时间。此外，我们利用开发的分析来获得LMI，以通过基于观察者的补偿器通过时变传感器延迟的系统闭合环稳定。一个数值示例说明了提出的方法。
In this paper, we study the application of switched systems stability criteria to derive delay-dependent conditions for systems affected by both a constant and a time-varying delay. The main novelty of our approach lies on the use of path-complete Lyapunov techniques along with the proposition of a new modified functional to obtain convex analysis conditions while avoiding the need of computing a dwell time for each mode in a switched system representation, as usual in the \textit{switched approach} for time-delay systems. Furthermore, we leverage the developed analysis to obtain LMIs for the closed-loop stabilization of systems with time-varying sensor delays by means of an observer-based compensator. A numerical example illustrates the proposed methods.
