Robust sampled-data stabilization of uncertain fuzzy systems via input delay approach
- 作者：Jun Yoneyama ; yoneyama@ee.aoyama.ac.jp
- 关键词：Takagi&ndash ; Sugeno fuzzy systems ; Sampled-data control ; Time-delay systems ; Uncertain systems ; Linear matrix inequality
- 刊名：Information Sciences
- 出版年：2012
- 期刊代码：62_00200255
- 类别：cp
- 出版时间：1 September, 2012
- 卷：198
- 期：Complete
- 页码：169-176
- 文件大小：292 K
摘要
This paper is concerned with robust sampled-data stabilization for uncertain fuzzy systems. The system is modeled as a continuous-time fuzzy system, while the control input is a zero-order sampled-data signal. When a zero-order control input is considered, the closed-loop system can be seen as an input delay system. Hence, an input delay system approach is introduced for sampled-data control design. Sufficient stability conditions for the closed-loop system are given in terms of linear matrix inequalities (LMIs). Under the assumption that sampling interval is not greater than some prescribed number, stability conditions for fuzzy time-delay systems are given by using Jensen鈥檚 Inequality, which simplifies conditions with less matrix variables. A design method of robust sampled-data state feedback controller for uncertain fuzzy systems is then proposed. Numerical examples are given to illustrate our robust sampled-data state feedback control design and to show the effectiveness over other existing results.