| 摘要: |
| 研究了具有高次幂右端函数的非线性分数阶齐次、非齐次三角系统的反馈控制设计.运用分数阶Lyapunov方法和递归方法，得到了系统的状态和输出反馈控制器，使所研究的系统镇定.最后，给出两个数值例子来说明结论的有效性. |
| 关键词: 非线性分数阶三角系统 Lyapunov方法 反馈控制 递归法 |
| DOI：10.3969/J.ISSN.1000-5137.2020.03.001 |
| 分类号:O231.2 |
| 基金项目:The Natural Science Foundation of Shanghai (19ZR1400500) |
|
| Feedback stabilization control design for a class of nonlinear fractional order triangular systems |
|
LI Jing1, KOU Chunhai1, CAI Ruiyang2
|
|
1.College of Science, Donghua University, Shanghai 201620, China;2.College of Information Science and Technology, Donghua University, Shanghai 201620, China
|
| Abstract: |
| This paper investigates the design of feedback controls for a class of nonlinear homogeneous and inhomogeneous fractional order triangular systems with high power right-hand functions. By using the fractional Lyapunov method and the recursive method, we derive both state and output feedback controllers to stabilize the systems that we study. Finally, two numerical example are provided to illustrate the effectiveness of our results. |
| Key words: nonlinear fractional order triangular system Lyapunov method feedback control recursive method |
