论文标题
与同时非线性不确定性的级联的两端口网络系统的稳定
Stabilization of Cascaded Two-Port Networked Systems with Simultaneous Nonlinear Uncertainties
论文作者
论文摘要
我们引入了一个多功能框架，以模型和研究网络控制系统（NCSS）。 NCS被描述为工厂的反馈互连和通过级联的非线性两端口网络建模的双向通道通信的控制器。该模型足够丰富，可以捕获现实世界通信通道的各种特性，例如失真，干扰和非线性。工厂，控制器和通信渠道中的不确定性可以在框架中同时处理。当植物和控制器中的模型不确定性由间隙度量测量时，我们为NCS的稳健有限增强稳定性提供了必要和充分的条件，而非线性通信通道中的模型是通过不确定元素的操作员规范来衡量的。这种情况是由涉及不确定性界限的“弧形”的不等式给出的，并源自在系统图上存在圆锥形非线性扰动的情况下，在存在的标准闭环系统鲁棒性的鲁棒性的基础上提供了新的几何见解。
We introduce a versatile framework to model and study networked control systems (NCSs). An NCS is described as a feedback interconnection of a plant and a controller communicating through a bidirectional channel modelled by cascaded nonlinear two-port networks. This model is sufficiently rich to capture various properties of a real-world communication channel, such as distortion, interference, and nonlinearity. Uncertainties in the plant, controller and communication channels can be handled simultaneously in the framework. We provide a necessary and sufficient condition for the robust finite-gain stability of an NCS when the model uncertainties in the plant and controller are measured by the gap metric and those in the nonlinear communication channels are measured by operator norms of the uncertain elements. This condition is given by an inequality involving "arcsine" of the uncertainty bounds and is derived from novel geometric insights underlying the robustness of a standard closed-loop system in the presence of conelike nonlinear perturbations on the system graphs.
