从不相称的分数阶传递函数特例中获得可控的伪上三角和下三角多阶状态空间现实

IF 1.8 3区工程技术 Q3 ENGINEERING, ELECTRICAL & ELECTRONIC

Circuits, Systems and Signal Processing Pub Date : 2024-07-27 DOI:10.1007/s00034-024-02789-w

Mohammad Tabatabaei

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引用次数: 0

摘要

本文介绍了一种从不相称分数阶传递函数中找到伪上三角或下三角状态空间实现（SSR）的方法。这种 SSR 是针对不相容分数阶系统的一种特殊情况获得的，这种系统可以用伪上三角或下三角多阶状态空间方程来表示，而这些方程是通过绘制传递函数框图得出的。得到的实现形式与普通传递函数的可控性规范形式非常相似。结果表明，所得到的实现是可控的。因此，可以为这些系统系统地设计状态反馈控制器。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Obtaining Controllable Pseudo-Upper and Lower Triangular Multi-Order State-Space Realizations from a Special Case of Incommensurate Fractional-Order Transfer Functions

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Obtaining Controllable Pseudo-Upper and Lower Triangular Multi-Order State-Space Realizations from a Special Case of Incommensurate Fractional-Order Transfer Functions

This paper presents a methodology for finding a pseudo-upper or lower triangular state-space realization (SSR) from an incommensurate fractional-order transfer function. This SSR is obtained for a particular case of incommensurate fractional-order systems that can be represented by pseudo-upper or lower triangular multi-order state-space equations, which are derived by drawing the block diagram of the transfer functions. The obtained realization is very similar to the controllability canonical form for ordinary transfer functions. It is demonstrated that the obtained realization is controllable. Thus, the state feedback controllers can be systematically designed for these systems.

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来源期刊

Circuits, Systems and Signal Processing 工程技术-工程：电子与电气

CiteScore

4.80

自引率

13.00%

发文量

321

审稿时长

4.6 months

期刊介绍： Rapid developments in the analog and digital processing of signals for communication, control, and computer systems have made the theory of electrical circuits and signal processing a burgeoning area of research and design. The aim of Circuits, Systems, and Signal Processing (CSSP) is to help meet the needs of outlets for significant research papers and state-of-the-art review articles in the area. The scope of the journal is broad, ranging from mathematical foundations to practical engineering design. It encompasses, but is not limited to, such topics as linear and nonlinear networks, distributed circuits and systems, multi-dimensional signals and systems, analog filters and signal processing, digital filters and signal processing, statistical signal processing, multimedia, computer aided design, graph theory, neural systems, communication circuits and systems, and VLSI signal processing. The Editorial Board is international, and papers are welcome from throughout the world. The journal is devoted primarily to research papers, but survey, expository, and tutorial papers are also published. Circuits, Systems, and Signal Processing (CSSP) is published twelve times annually.