Abstract
This study focuses on the hybrid switched controller design issue for a type of repeated scalar non-linear systems with stochastic disturbance based on sliding mode control (SMC) approach. By constructing the diagonally dominant Lyapunov functional appropriately, sufficient conditions of mean-square exponential stability are first proposed for the resulting non-linear stochastic system, which possess a strictly dissipativity performance. The authors' attention is focused on constructing a desirable sliding mode surface and further analysing its sliding mode motion. Then, a hybrid switched controller is designed to ensure the accessibility of the pre-specified switching sliding mode surface. Finally, the feasibility and effectiveness of the designed SMC technique are illustrated by the numerical example.
| Original language | English |
|---|---|
| Pages (from-to) | 1088-1097 |
| Number of pages | 10 |
| Journal | IET Control Theory and Applications |
| Volume | 11 |
| Issue number | 8 |
| Early online date | 9 Jan 2017 |
| DOIs | |
| Publication status | Published - May 2017 |
| Externally published | Yes |
Bibliographical note
Publisher Copyright:© 2016 The Institution of Engineering and Technology.
Funding
This work was partially supported by the National Natural Science Foundation of China (61403048), the Natural Science Foundation of Chongqing, China (cstc2015jcyjA40005, cstc2014jcyjA90 0 05), and the Fundamental Research Funds for the Central Universities (1106112016CDJZR175509, 106112015CDJXY170001, CDJZR175501).