Mean Square Exponential Stabilization of Sampled-Data Systems Subject to Actuator Nonlinearities, Random Sampling, and Packet Dropouts

• 成果类型: Article
• 署名作者: Huff, Daniel Denardi; Fiacchini, Mirko; Gomes da Silva Jr, Joao Manoel
• 署名单位: Communaute Universite Grenoble Alpes; Institut National Polytechnique de Grenoble; Universite Grenoble Alpes (UGA); Centre National de la Recherche Scientifique (CNRS); Universidade Federal do Rio Grande do Sul
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2023.3300970
• 发表日期: 2024
• 页码: 1364-1371
• 关键词: Piecewise deterministic Markov processes; Random sampling; sampled-data control; sector-bounded nonlinearities

摘要

This work deals with the mean square exponential stabilization of sampled-data linear systems subject to sector-bounded actuator nonlinearities and to aperiodic sampling intervals, which are assumed to be Erlang-distributed random variables. The possibility of packet dropouts is also taken into account and modeled by a Bernoulli process. Linear matrix inequality (LMI) conditions are proposed to design a stabilizing state-feedback controller for the system. Moreover, it is shown that the method leads to necessary and sufficient stabilization conditions in the absence of actuator nonlinearities. The results are derived using the framework of piecewise deterministic Markov processes, a subclass of stochastic hybrid systems.