This article investigates the robust estimation and observer‐based finite time sliding mode control problems for a class of switched systems with time‐delays and uncertainties. For the studied system model, a common sliding surface related to the estimated states is initially constructed. Then, a suitable sliding mode control law is designed to ensure the accessibility of sliding surface. By selecting the appropriate Lyapunov function and using the average dwell time method and the partition strategy lemma, sufficient conditions of finite time boundedness of system are given. The observer gain is obtained by solving a couple of linear matrix inequalities. Finally, a practical water quality control system is given to show the effectiveness of the design methods.

中文翻译：

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基于观测器的滑模技术对不确定时滞切换系统的鲁棒有限时间控制和估计

本文研究了一类具有时滞和不确定性的切换系统的鲁棒估计和基于观测器的有限时间滑模控制问题。对于研究的系统模型，最初构建与估计状态相关的公共滑动表面。然后，设计了合适的滑模控制律，以确保滑动面的可及性。通过选择适当的Lyapunov函数，并使用平均停留时间方法和分区策略引理，给出了系统有限时间有界性的充分条件。观察者增益是通过求解几个线性矩阵不等式获得的。最后，给出了一个实用的水质控制系统，以说明设计方法的有效性。