论文标题
通过状态反馈使非线性系统负面虚构
Making Nonlinear Systems Negative Imaginary via State Feedback
论文作者
论文摘要
本文通过呈现非线性负面虚构（NI）系统，为非线性系统的非线性系统提供了一种状态反馈稳定方法。提供了可以使非线性系统成为非线性NI系统或非线性输出严格假想（OSNI）系统的条件。粗略地说，一种正常形式的仿射非线性系统，相对程度小于或等于两个，在可能的输出转换后，可以渲染非线性Ni和非线性OSNI。另外，如果正常形式的内部动力学是输入到状态稳定的，则存在稳定系统的状态反馈输入。然后将这种稳定结果扩展以实现非线性NI不确定性的系统的稳定性。
This paper provides a state feedback stabilization approach for nonlinear systems of relative degree less than or equal to two by rendering them nonlinear negative imaginary (NI) systems. Conditions are provided under which a nonlinear system can be made a nonlinear NI system or a nonlinear output strictly negative imaginary (OSNI) system. Roughly speaking, an affine nonlinear system that has a normal form with relative degree less than or equal to two, after possible output transformation, can be rendered nonlinear NI and nonlinear OSNI. In addition, if the internal dynamics of the normal form are input-to-state stable, then there exists a state feedback input that stabilizes the system. This stabilization result is then extended to achieve stability for systems with a nonlinear NI uncertainty.
