|
|||||
|
|
Control design for one-sided Lipschitz nonlinear differential inclusions |
|
| Authors: | Xiushan Cai Hong Gao Leipo Liu Wei Zhang |
| Affiliation: | 1. College of Mathematics, Physics, and Information Engineering, Zhejiang Normal University, Jinhua 321004, China;2. College of Electric and Information Engineering, Henan University of Science and Technology, Luoyang 471003, China;3. Laboratory of Intelligent Control and Robotics, Shanghai University of Engineering Science, Shanghai 201620, China |
| Abstract: | This paper considers stabilization and signal tracking control for one-sided Lipschitz nonlinear differential inclusions (NDIs). Sufficient conditions for exponential stabilization for the closed-loop system are given based on linear matrix inequality theory. Further, the design method is extended to signal tracking control for one-sided Lipschitz NDIs. A control law is designed such that the state of the closed-loop system asymptotically tracks the reference signal. Finally, two numerical examples are given to illustrate the effectiveness of the proposed design technique. |
| Keywords: | Nonlinear differential inclusions One-sided Lipschitz Exponential stabilization Linear matrix inequalities |
| 本文献已被 ScienceDirect 等数据库收录！ | |