Robust stability of fractional order system with general interval uncertainties

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• 作者：Shiqi Zheng ^{zhengshiqi1000@foxmail.com}
• 关键词：Fractional order control system ; Interval uncertainty ; Robust stability
• 刊名：Systems & Control Letters
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：99
• 期：Complete
• 页码：1-8
• 全文大小：1374 K
• 卷排序：99

文摘

This paper focuses on the analysis of robust stability of fractional order system with general interval uncertainties. The concept of general interval uncertainties means that the interval uncertainties exist both in the coefficients and orders of the fractional order system. Necessary and sufficient conditions are proposed to check the robust stability of general interval fractional order system. According to the proposed stability criterion, it is interesting to find that the Edge Theorem, which was initially proposed for integer order system, cannot be directly extended to test the stability of fractional order system with general interval uncertainties. Examples are followed to verify the validity of the proposed method.