Abstract
Based on the stochastic nonlinear time-delay system stability criterion and homogeneous domination approach, this paper solves the global decentralized output-feedback stabilization problem for a class of large-scale stochastic high-order nonlinear systems with multi-delays. By skillfully choosing an appropriate Lyapunov–Krasoviskii functional and successfully overcoming some troublesome obstacles in the design and analysis procedure, the decentralized output-feedback controller and homogeneous observer are constructed for each subsystem to guarantee that the closed-loop system is globally asymptotically stable (GAS) in probability. The simulation example is given to verify the effectiveness of the proposed design scheme.
| Original language | English |
|---|---|
| Pages (from-to) | 3944-3965 |
| Number of pages | 22 |
| Journal | Journal of the Franklin Institute |
| Volume | 353 |
| Issue number | 15 |
| Online published | 28 Jul 2016 |
| DOIs | |
| Publication status | Published - Oct 2016 |
| Externally published | Yes |
Funding
The authors would like to express sincere gratitude to the Editor and Reviewers for their helpful comments in improving this paper. This work is supported by the National Natural Science Foundation of China (Nos. 61403041, 61573172), the Program for Liaoning Excellent Talents in University (No. LJQ2015001), the Project Funded by China Postdoctoral Science Foundation (Nos. 2015M580435, 2016T90462), an Internal Research Grant of Hong Kong Polytechnic University (No. G-UA2K), and the Program for Liaoning Innovative Research Team in University (No. LT2013023).
Research Keywords
- STATE-FEEDBACK
- INTERCONNECTED SYSTEMS
- CONTROLLER-DESIGN
- ADAPTIVE STABILIZATION
- TRACKING