Frequency Response Computation of Fractional Order Interval Transfer Functions

被引：22

作者：

Yeroglu, Celaleddin

Ozyetkin, M. Mine ^{[1
]}

Tan, Nusret ^{[1
]}

机构：

[1] Inonu Univ, Sch Elect & Elect Engn, Malatya, Turkey

来源：

INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS | 2010年 / 8卷 / 05期

关键词：

Bode envelope; fractional order interval transfer functions; nyquist envelope; parametric uncertainty; ROBUST STABILITY; CONTROLLERS; SYSTEMS; STABILIZATION; ALGORITHM; PI;

D O I：

10.1007/s12555-010-0510-3

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The paper present extensions of some results developed in the parametric robust control to fractional order interval control systems (FOICS). Computation of the Bode and Nyquist envelopes of FOICS are studied. Using the geometric structure of the value set of fractional order interval polynomials (FOIP), a technique is proposed for computing the Bode and Nyquist envelopes of transfer functions whose numerator and denominator polynomials are fractional order polynomials with interval uncertainty structure. The results obtained are useful For the analysis and design of FOICS. Numerical examples are included to illustrate the benefit of the method presented.

引用

页码：1009 / 1017

页数：9

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