Stability and Stabilization of Fractional-Order Systems with Different Derivative Orders: An LMI Approach

被引：38

作者：

Badri, Pouya ^{[1
]}

Sojoodi, Mandi ^{[1
]}

机构：

[1] Tarbiat Modares Univ, Sch Elect & Comp Engn, Adv Control Syst Lab, Tehran, Iran

来源：

ASIAN JOURNAL OF CONTROL | 2019年 / 21卷 / 05期

关键词：

Fractional-order system; different fractional orders; stability; stabilization; linear matrix inequality; dynamic output feedback; OUTPUT-FEEDBACK CONTROLLER; CONSENSUS; DESIGN;

D O I：

10.1002/asjc.1847

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Stability and stabilization analysis of fractional-order linear time-invariant (FO-LTI) systems with different derivative orders is studied in this paper. First, by using an appropriate linear matrix function, a single-order equivalent system for the given different-order system is introduced by which a new stability condition is obtained that is easier to check in practice than the conditions known up to now. Then the stabilization problem of fractional-order linear systems with different fractional orders via a dynamic output feedback controller with a predetermined order is investigated, utilizing the proposed stability criterion. The proposed stability and stabilization theorems are applicable to FO-LTI systems with different fractional orders in one or both of 0 < alpha and 1 <= alpha intervals. Finally, some numerical examples are presented to confirm the obtained analytical results.

引用

页码：2270 / 2279

页数：10

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