论文标题
多重离散时间非线性描述系统的强大观察者设计
Robust Observer Design for Polytopic Discrete-Time Nonlinear Descriptor Systems
论文作者
论文摘要
本文考虑了一类斜坡限制的非线性描述符系统的稳健状态观察者的设计，该系统具有未知的时间变化参数，属于已知集合。拟议的设计解释了过程干扰和测量噪声，同时允许瞬态性能与对噪声和参数不匹配的敏感性之间进行权衡。我们利用系统的多元结构来推导基于线性的基质 - 基于 - 基于线性的合成条件，以使整个参数集的鲁棒参数依赖性观察者。此外，我们提出了（替代性的）（替代性的）对系统类别中重要子类的必要和足够的合成条件，并显示了设计对数值案例研究的有效性。
This paper considers the design of robust state observers for a class of slope-restricted nonlinear descriptor systems with unknown time-varying parameters belonging to a known set. The proposed design accounts for process disturbances and measurement noise, while allowing for a trade-off between transient performance and sensitivity to noise and parameter mismatch. We exploit a polytopic structure of the system to derive linear-matrix-inequality-based synthesis conditions for robust parameter-dependent observers for the entire parameter set. In addition, we present (alternative) necessary and sufficient synthesis conditions for an important subclass within the considered class of systems and we show the effectiveness of the design for a numerical case study.
