论文标题
动态不确定性的动态S程序
A Dynamic S-Procedure for Dynamic Uncertainties
论文作者
论文摘要
我们展示了如何为不确定的系统组成可靠的稳定性测试，该系统以线性分数表示并受到各种类型的动态不确定性的影响。我们的结果是根据线性矩阵不等式提出的，并取决于最近建立的有限 - 摩恩积分二次限制的概念，并具有终端成本。这种约束的构建是由S-Procedure在频域中具有动态Lagrange乘数在频域中非常规应用的动机。我们的技术贡献揭示了如何通过时间域和无损的方式通过散发性论点来执行这种构建。这为概括时间变化或混合系统开辟了道路。
We show how to compose robust stability tests for uncertain systems modeled as linear fractional representations and affected by various types of dynamic uncertainties. Our results are formulated in terms of linear matrix inequalities and rest on the recently established notion of finite-horizon integral quadratic constraints with a terminal cost. The construction of such constraints is motivated by an unconventional application of the S-procedure in the frequency domain with dynamic Lagrange multipliers. Our technical contribution reveals how this construction can be performed by dissipativity arguments in the time-domain and in a lossless fashion. This opens the way for generalizations to time-varying or hybrid systems.
