Stabilization of networked periodic piecewise linear systems under asynchronous switching with packet dropouts |
| |
| Institution: | 1. School of Automation, Guangdong University of Technology, Guangzhou, 510006, China;2. Guangdong Provincial Key Laboratory of Intelligent Decision and Cooperative Control, Guangzhou, 510006, China;1. College of Control Science and Engineering, Bohai University, Jinzhou 121013, Liaoning, China;2. School of Mathematical Sciences, Bohai University, Jinzhou 121013, China;3. College of Automation Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, China;1. College of Electrical Engineering, Henan University of Technology, Zhengzhou 450052, China;2. School of Automation, Beijing Institute of Technology, Beijing 100081, China;1. College of Mathematics and Computer Science, Tongling University, Tongling, 244000, China;2. School of Electrical and Information Engineering, Jiangsu University, Zhenjiang, 212013, China |
| |
| Abstract: | In this paper, the networked stabilization of discrete-time periodic piecewise linear systems under transmission package dropouts is investigated. The transmission package dropouts result in the loss of control input and the asynchronous switching between the subsystems and the associated controllers. Before studying the networked control, the sufficient conditions of exponential stability and stabilization of discrete-time periodic piecewise linear systems are proposed via the constructed dwell-time dependent Lyapunov function with time-varying Lyapunov matrix at first. Then to tackle the bounded time-varying packet dropouts issue of switching signal in the networked control, a continuous unified time-varying Lyapunov function is employed for both the synchronous and asynchronous subintervals of subsystems, the corresponding stabilization conditions are developed. The state-feedback stabilizing controller can be directly designed by solving linear matrix inequalities (LMIs) instead of iterative optimization used in continuous-time periodic piecewise linear systems. The effectiveness of the obtained theoretical results is illustrated by numerical examples. |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
