In this paper, we consider the global exponential stabilisation problem by output feedback for a class of nonlinear systems with the extended structure of nonlinearity over the existing control scheme. The new feature is that we present a newly designed reduced-order observer-based output feedback controller with a gain-scaling factor. In our proposed method, we provide more flexibility in the selection of control parameters by utilising a matrix inequality approach under the extended structure of nonlinearity. Using examples, we illustrate the improved results of the proposed control scheme over the existing control scheme.

中文翻译：

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基于矩阵不等式方法的基于降阶观测器的输出反馈控制非线性系统的全局指数镇定

在本文中，我们考虑了一类非线性系统的输出反馈全局指数镇定问题，该系统在现有控制方案上具有扩展的非线性结构。新功能是我们提出了一种新设计的基于降阶观测器的输出反馈控制器，具有增益缩放因子。在我们提出的方法中，我们通过利用非线性扩展结构下的矩阵不等式方法在控制参数的选择方面提供了更大的灵活性。使用示例，我们说明了所提出的控制方案对现有控制方案的改进结果。