Adaptive robust H∞ state feedback control for linear uncertain systems with time‐varying delay |
| |
| Authors: | Dan Ye Guang Hong Yang |
| |
| Affiliation: | 1. College of Information Science and Engineering, Northeastern University, Shenyang 110004, People's Republic of China;2. Key Laboratory of Integrated Automation of Process Industry (Northeastern University), Ministry of Education, Shenyang 110004, People's Republic of China;3. Professor. |
| |
| Abstract: | This paper considers the problem of adaptive robust H∞ state feedback control for linear uncertain systems with time‐varying delay. The uncertainties are assumed to be time varying, unknown, but bounded. A new adaptive robust H∞ controller is presented, whose gains are updating automatically according to the online estimates of uncertain parameters. By combining an indirect adaptive control method and a linear matrix inequality method, sufficient conditions with less conservativeness than those of the corresponding controller with fixed gains are given to guarantee robust asymptotic stability and H∞ performance of the closed‐loop systems. A numerical example and its simulation results are given to demonstrate the effectiveness and the benefits of the proposed method. Copyright © 2008 John Wiley & Sons, Ltd. |
| |
| Keywords: | adaptive robust control time‐varying delay time‐varying uncertainties linear matrix inequalities (LMIs) H∞ control |
|
|
