Finite-time control in probability for time-varying systems with measurement censoring |
| |
| Authors: | Jiajia Li Guoliang Wei Derui Ding Yurong Li |
| |
| Institution: | 1. Department of Control Science and Engineering, The Shanghai Key Lab of Modern Optical System, University of Shanghai for Science and Technology, Shanghai 200093, China;2. College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China;3. College of Electrical Engineering and Automation, Fuzhou University, Fuzhou, Fujian 350116, China |
| |
| Abstract: | This paper considers a parameter-dependent controller design problem for a class of discrete-time uncertain systems subject to censored measurement. First, a set of mutually independent stochastic variables obeying uniform distribution is used to describe the system uncertainty. Then, an array of new bounded variables is introduced to characterize the boundedness of the censored measurement. In addition, a novel definition, named as finite-time boundedness in probability (FTBP), is presented to depict the dynamic behavior of addressed systems in the sense of probability. In this case, the norm of controlled system states cannot exceed a given boundary under a probability constraint. By means of the hyper-rectangle depending on the value range of stochastic variables, a sufficient condition is presented to ensure that the system is FTBP. Finally, the corresponding controller design problem is formulated as an algorithm based on the recursive linear matrix inequality. Two simulation examples are given to illustrate the effectiveness of the proposed methodology. |
| |
| Keywords: | Corresponding author |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
