This paper addresses the problem of robust control for a class of nonlinear dynamical systems in the continuous time domain. We deal with nonlinear models described by differential-algebraic equations (DAEs) in the presence of bounded uncertainties. The full model of the control system under consideration is completed by linear sampling-type outputs. The linear feedback control design proposed in this manuscript is created by application of an extended version of the conventional invariant ellipsoid method. Moreover, we also apply some specific Lyapunov-based descriptor techniques from the stability theory of continuous systems. The above combination of the modified invariant ellipsoid approach and descriptor method makes it possible to obtain the robustness of the designed control and to establish some well-known stability properties of dynamical systems under consideration. Finally, the applicability of the proposed method is illustrated by a computational example. A brief discussion on the main implementation issue is also included.

中文翻译：

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具有数据样本输出的隐式一类连续动力系统：一种可靠的方法

本文解决了连续时域中一类非线性动力学系统的鲁棒控制问题。我们处理存在不确定性的情况下由微分代数方程（DAE）描述的非线性模型。所考虑的控制系统的完整模型由线性采样类型的输出完成。本手稿中提出的线性反馈控制设计是通过应用常规不变椭圆体方法的扩展版本创建的。此外，我们还从连续系统的稳定性理论中应用了一些基于Lyapunov的描述符技术。修改后的不变椭球方法和描述符方法的上述组合，有可能获得所设计控件的鲁棒性，并在考虑中建立动力学系统的一些众所周知的稳定性。最后，通过算例说明了该方法的适用性。还包括对主要实施问题的简短讨论。