This article considers the finite-time [ ] control problem for singular Markovian jump systems with time-varying delay subject to input saturation. Considering the discontinuities caused by the mode-dependent singular matrix and Markovian jump switching behavior, the result of this article is more practical. First, a hidden model-based state feedback controller is designed to guarantee that the considered system is mean-square locally finite-time [ ] stabilizable by employing an appropriate Lyapunov function. Second, some sufficient conditions for the solution to this problem are derived in terms of linear matrix inequalities which considers the time-varying delay and input saturation. Finally, the correctness of the proposed method is verified by three numerical examples.

This paper is concerned with the finite-time $H_{\infty }$ robust control problem for a class of discrete-time Markov jump systems with time-varying delays and random packet losses. The phenomenon of packet losses occurs between the plant and the controller, which is characterized by introducing a random variable. Based on the single exponential smoothing method, the prediction of the missing measurement is used as the packet loss compensation when a packet is lost. Then, by employing local sector conditions and an appropriate Lyapunov function, a state feedback controller is designed to guarantee that the resulted closed-loop constrained system is mean-square locally finite-time stabilizable. Furthermore, some sufficient conditions for the solution to this problem are derived in terms of linear matrix inequalities. Finally, two numerical examples are provided to demonstrate the effectiveness of the proposed method.

To solve the problem of inaccurate estimation of relative errors in real-time monitoring of charging pile meters, a model is proposed based on the wavelet transform and damped recursive least squares (WT-DRLS) method to assess the measurement error and uncertainty of electric meters. An energy conservation equation for the charging pile power system is established, along with two variables representing energy conversion efficiency and measurement error. The estimated value of the energy conversion efficiency is obtained by using wavelet transform for noise reduction. Subsequently, a damped recursive least square method with a sliding window is developed to exclude disturbances from circuit load flow and external environmental factors, which enables the calculation of the measurement uncertainty of electric meters. The proposed method supports online monitoring of charging pile meter performance. Data from an actual DC charging station are collected for validation. The experimental results show that the proposed method is effective and stable and outperforms the state-of-the-art methods.

In this paper, the finite-time H _∞ control problem for a class of hybrid singular Markovian jump systems with time delay and actuator saturation is studied. Considering the discontinuities caused by Markovian jump switching behavior, a hidden mode based controller is designed to ensure the mean-square locally finite-time H _∞ stability of the considered system. Secondly, the parameter solving method of the designed controller is derived based on LMI method. Finally, a numerical example is given to verify the correctness of the method.