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1. Hybrid control of switched LFT uncertain systems with time-varying input delays

   https://doi.org/10.1080/00207179.2021.1975197  

   Yuan, Chengzhi ; Gu, Yan ; Zeng, Wei ( September 2021 , International Journal of Control)

   This paper addresses the problem of hybrid control for a class of switched uncertain systems. The switched system under consideration is subject to structured uncertain dynamics in a linear fractional transformation (LFT) form and time-varying input delays. A novel hybrid controller is proposed, which consists of three major components: the integral quadratic constraint (IQC) dynamics, the continuous dynamics, and the jump dynamics. The IQC dynamics are developed by leveraging methodologies from robust control theory and are utilised to address the effects of time-varying input delays. The continuous dynamics are structured by feeding back not only measurement outputs but also some system's internal signals. The jump dynamics enforce a jump (update/reset) at every switching time instant for the states of both IQC dynamics and continuous dynamics. Based on this, robust stability of the overall hybrid closed-loop system is established under the average dwell time framework with multiple Lyapunov functions. Moreover, the associated control synthesis conditions are fully characterised as linear matrix inequalities, which can be solved efficiently. An application example on regulation of a nonlinear switched electronic circuit system has been used to demonstrate effectiveness and usefulness of the proposed approach. 

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2. Sequential Predictors for Linear Time-Varying Systems with Delays in the Vector Field and in the Input

   https://doi.org/10.1109/CDC.2018.8619238  

   Malisoff, Michael ; Mazenc, Frederic ( December 2018 , Proceedings of the 57th IEEE Conference on Decision and Control)
3. Sequential Predictors Under Time-Varying Feedback and Measurement Delays and Sampling

   https://doi.org/10.1109/TAC.2018.2874694  

   Weston, Jerome ; Malisoff, Michael ( July 2019 , IEEE Transactions on Automatic Control)
4. Continuous Discrete Sequential Observers for Time-Varying Systems Under Sampling and Input Delays

   https://doi.org/10.1109/TAC.2019.2930676  

   Mazenc, Frederic ; Malisoff, Michael ( April 2020 , IEEE Transactions on Automatic Control)
5. Stability and Robustness Analysis for Switched Systems with Time-Varying Delays

   https://doi.org/10.1137/16M1104895  

   Mazenc, Frédéric ; Malisoff, Michael ; Özbay, Hitay ( January 2018 , SIAM Journal on Control and Optimization)