Synchronous stabilization and positivity of 2D fractional order uncertain discrete-time systems

• Main Authors: Yu-Sheng Shi, 施育昇
• Other Authors: YANG CHIH-HSIUNG
• Format: Others
• Language: zh-TW
• Published: 2019
• Online Access: http://ndltd.ncl.edu.tw/handle/66enky

碩士 === 國立高雄科技大學 === 電機工程系 === 107 === The subject of this thesis is the synchronous forward and stabilization of two-dimensional fractional-order uncertain discrete-time systems with convex polytopic uncertainties. According to the previous literature, most of the calculations are only for a single system. This thesis is extended to the analysis and design of multiple systems, so that multiple uncertain systems can achieve simultaneous stabilization. Simultaneous stabilization of multiple uncertain systems can be seen as a technique for fault-tolerant control. The purpose is to find a controller to stabilize multiple systems due to local system faults, so that the overall system will not be partially localized by the system. When it fails, it loses its effect. Many systems have state variables that can only be positive values, such as brightness in image processing. Therefore, the system is positive in the control design of great significance. At the same time, the positive applications in the system and control theory are related to stability analysis, super stability, and stable implementation of the system. Forwardness has important characteristics for a single system. Synchronous forward is naturally important for different systems that are caused by partial system failures. In this thesis, the sufficient conditions for the LMI form of forward and stability are proposed, and the condition feedback controller design is used to make the two-dimensional fractional-order uncertain discrete-time system synchronously forward and stabilize. Finally, some example are given to perform simulation experiments, the correctness and effectiveness of the results are verified.