Novel fractional-order decentralized control for nonlinear fractional-order composite systems with time delays

被引：13

作者：

Zhe, Zhang ^{[1
]}

Yaonan, Wang ^{[1
]}

Jing, Zhang ^{[1
]}

Ai, Zhaoyang ^{[2
]}

Cheng, FanYong ^{[3
]}

Liu, Feng ^{[4
]}

机构：

[1] Hunan Univ, Coll Elect & Informat Engn, Changsha 410082, Peoples R China

[2] Hunan Univ, Inst Cognit Control & Biophys Linguist, CFL, Changsha 410082, Peoples R China

[3] Anhui Polytech Univ, Sch Elect Engn, Wuhu 241000, Peoples R China

[4] China Univ Geosci, Sch Automat, Wuhan 430074, Peoples R China

来源：

ISA TRANSACTIONS | 2022年 / 128卷

关键词：

Nonlinear composite system; Fractional-order control; Mittag-Leffler function; Asymptotic stabilization; STABILITY ANALYSIS; STABILIZATION;

D O I：

10.1016/j.isatra.2021.11.044

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

A novel decentralized non-integer order controller applied on nonlinear fractional-order composite system(NFOCS) is proposed. In addition, some novel results for the asymptotic stabilization are shown with fractional parameter alpha is an element of (0, 1) . First, we derive certain novel results useful for the Mittag-Leffler function. Then, we design a new decentralized fractional-order controller for the NFOCS according to the novel results applied to Mittag-Leffler function. Next, this novel asymptotic stabilization condition has been proposed. Compared with other controllers our controller has wider control gain range and weaker requirements. Moreover, we solve the asymptotic stabilization problem of the NFOCS with time delays via the novel controller. In the end, four general examples are performed to show the progressiveness of the new fractional-order decentralized controller.(c) 2021 ISA. Published by Elsevier Ltd. All rights reserved.

引用

页码：230 / 242

页数：13

共 50 条

[1] Fractional-Order Nonlinear Disturbance Observer Based Control of Fractional-Order Systems
Munoz-Vazquez, Aldo Jonathan
Parra-Vega, Vicente
Sanchez-Orta, Anand
[J]. JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS, 2018, 13 (07):
[2] Robust Stabilizing Regions of Fractional-order PIControllers for Fractional-order Systems with Time-delays
Zhe Gao
LiRong Zhai
YanDong Liu
[J]. International Journal of Automation and Computing, 2017, (03) : 340 - 349
[3] Fractional-Order Echo State Network Backstepping Control of Fractional-Order Nonlinear Systems
Liu, Heng
Shi, Jiangteng
Cao, Jinde
Pan, Yongping
[J]. IEEE TRANSACTIONS ON EMERGING TOPICS IN COMPUTATIONAL INTELLIGENCE, 2024, 8 (01): : 519 - 532
[4] Fractional-Order Optimal Control of Fractional-Order Linear Vibration Systems with Time Delay
Balochian, Saeed
Rajaee, Nahid
[J]. INTERNATIONAL JOURNAL OF SYSTEM DYNAMICS APPLICATIONS, 2018, 7 (03) : 72 - 93
[5] Consensus Control of Fractional-Order Multi-Agent Systems With Time Delays via Fractional-Order Iterative Learning Control
Lv, Shuaishuai
Pan, Mian
Li, Xungen
Cai, Wenyu
Lan, Tianyi
Li, Bingqiang
[J]. IEEE ACCESS, 2019, 7 : 159731 - 159742
[6] Robust stabilizing regions of fractional-order PIλ controllers for fractional-order systems with time-delays
Gao Z.
Zhai L.-R.
Liu Y.-D.
[J]. International Journal of Automation and Computing, 2017, 14 (3) : 340 - 349
[7] Fractional-order discontinuous systems with indefinite LKFs: An application to fractional-order neural networks with time delays
Udhayakumar, K.
Rihan, Fathalla A.
Rakkiyappan, R.
Cao, Jinde
[J]. NEURAL NETWORKS, 2022, 145 : 319 - 330
[8] FRACTIONAL-ORDER ITERATIVE LEARNING CONTROL FOR FRACTIONAL-ORDER LINEAR SYSTEMS
Li, Yan
Chen, YangQuan
Ahn, Hyo-Sung
[J]. ASIAN JOURNAL OF CONTROL, 2011, 13 (01) : 54 - 63
[9] Optimal Control for Fractional-Order Nonlinear Systems Using Fractional-Order Online Policy Iteration
Kong, Jie
Zhao, Bo
[J]. Chinese Control Conference, CCC, 2024, : 2558 - 2563
[10] Adaptive Fractional-order Unscented Kalman Filters for Nonlinear Fractional-order Systems
Yue Miao
Zhe Gao
Chuang Yang
[J]. International Journal of Control, Automation and Systems, 2022, 20 : 1283 - 1293

← 1 2 3 4 5 →