基于参数相关函数的具有结构不确定参数的分数阶系统新的鲁棒稳定性条件：0

IF 2.4 4区计算机科学 Q2 COMPUTER SCIENCE, THEORY & METHODS

International Journal of General Systems Pub Date : 2022-11-02 DOI:10.1080/03081079.2022.2132489

Chenfei Kang, Jun‐Guo Lu, Xudong Qiu, Qing‐Hao Zhang

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引用次数: 1

摘要

研究了具有结构不确定参数的分数阶系统的鲁棒稳定性问题。首先，基于参数相关多项式函数，提出了上述系统的鲁棒稳定条件。其次，利用广义kalman - yakubovi - popov引理将参数相关多项式函数的存在性转化为线性矩阵不等式。此外，上述方法还可用于求解具有结构不确定性或多面体不确定性的分数阶系统的鲁棒稳定性问题。最后给出了数值算例，表明所提方法比现有方法具有更小的保守性。

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Novel robust stability conditions of fractional-order systems with structured uncertain parameters based on parameter-dependent functions: the 0

ABSTRACT In this paper, the robust stability of fractional-order systems with fractional order and structured uncertain parameters is considered. Firstly, novel robust stability conditions of the above systems are presented based on the parameter-dependent polynomial functions. Secondly, the existence of the parameter-dependent polynomial functions is transformed into linear matrix inequalities via the generalized Kalman-Yakubovič-Popov lemma. In addition, the above methods can also be applied to solve the robust stability of fractional-order systems with structured uncertainties or polytopic uncertainties. Finally, numerical examples are presented to show the proposed methods are less conservative than the existing methods.

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来源期刊

International Journal of General Systems 工程技术-计算机：理论方法

CiteScore

4.10

自引率

20.00%

发文量

审稿时长

6 months

期刊介绍： International Journal of General Systems is a periodical devoted primarily to the publication of original research contributions to system science, basic as well as applied. However, relevant survey articles, invited book reviews, bibliographies, and letters to the editor are also published. The principal aim of the journal is to promote original systems ideas (concepts, principles, methods, theoretical or experimental results, etc.) that are broadly applicable to various kinds of systems. The term “general system” in the name of the journal is intended to indicate this aim–the orientation to systems ideas that have a general applicability. Typical subject areas covered by the journal include: uncertainty and randomness; fuzziness and imprecision; information; complexity; inductive and deductive reasoning about systems; learning; systems analysis and design; and theoretical as well as experimental knowledge regarding various categories of systems. Submitted research must be well presented and must clearly state the contribution and novelty. Manuscripts dealing with particular kinds of systems which lack general applicability across a broad range of systems should be sent to journals specializing in the respective topics.