A Stability Analysis of Inverted Pendulum System Using Fractional-Order MIT Rule of MARC Controller

被引：3

作者：

Mukherjee, Deep ^{[1
]}

Kundu, Palash ^{[2
]}

Ghosh, Apurba ^{[3
]}

机构：

[1] KIIT Univ, Kalinga Inst Ind Technol, Sch Elect Engn, Bhubaneswar, India

[2] Jadavpur Univ, Dept Elect Engn, Kolkata, India

[3] Univ Burdwan, Dept Instrumentat Engn, Burdwan, W Bengal, India

来源：

INFORMATION AND DECISION SCIENCES | 2018年 / 701卷

关键词：

Inverted pendulum; MARC; MIT rule; Fractional-order;

D O I：

10.1007/978-981-10-7563-6_17

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In this paper, modification of MIT rule of MARC (Model Adaptive Reference Controller) using fractional derivative concept has been proposed for an integer-order-inverted pendulum system which is highly unstable. Here, the G-L fractional derivative method has been proposed to design fractional-order MIT rule of MARC controller. This controller has been tuned by adaptive gain and an additional degree of freedom to the stable angular displacement of the pendulum and to track the reference model better with respect to time domain specifications. Next, this stability of inverted pendulum using fractional-order MIT rule has been analyzed with normal integer-order MIT rule.

引用

页码：159 / 167

页数：9

共 50 条

[1] Fractional order controller design for inverted pendulum on a cart system (POAC)
Singh, Abhaya Pal
Agarwal, Himanshu
Srivastava, Pallavi
WSEAS Transactions on Systems and Control, 2015, 10 : 172 - 178
[2] Design and Simulation of Fractional Order PID Controller for An Inverted Pendulum System
Jiang, Shuhua
Li, Mingqiu
Wang, Chunyang
2017 IEEE INTERNATIONAL CONFERENCE ON MANIPULATION, MANUFACTURING AND MEASUREMENT ON THE NANOSCALE (3M-NANO), 2017, : 349 - 352
[3] Fractional Order PIαDβ Controller for the Inverted Pendulum
Oprzedkiewicz, Krzysztof
Rosol, Maciej
Zeglen, Jakub
AUTOMATION 2020: TOWARDS INDUSTRY OF THE FUTURE, 2020, 1140 : 170 - 181
[4] Performance Analysis and Experimental Validation of 2-DOF Fractional-Order Controller for Underactuated Rotary Inverted Pendulum
Prakash Dwivedi
Sandeep Pandey
Anjali Junghare
Arabian Journal for Science and Engineering, 2017, 42 : 5121 - 5145
[5] Performance Analysis and Experimental Validation of 2-DOF Fractional-Order Controller for Underactuated Rotary Inverted Pendulum
Dwivedi, Prakash
Pandey, Sandeep
Junghare, Anjali
ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING, 2017, 42 (12) : 5121 - 5145
[6] Control of the inverted pendulum system: a Smith fractional-order predictive model representation
Zangeneh-Madar, M. R.
Mazinan, A. H.
SADHANA-ACADEMY PROCEEDINGS IN ENGINEERING SCIENCES, 2020, 45 (01):
[7] Control of the inverted pendulum system: a Smith fractional-order predictive model representation
M R Zangeneh-Madar
A H Mazinan
Sādhanā, 2020, 45
[8] Design of modified fractional order PID controller for cart inverted pendulum system
Dey, Bishal
Pandey, Sumit Kr
Sengupta, Anindita
INTERNATIONAL JOURNAL OF DYNAMICS AND CONTROL, 2025, 13 (04)
[9] Adaptive Hierarchical Fractional-Order Sliding Mode Control of an Inverted Pendulum–Cart System
Alireza Jafary Fesharaki
Mohammad Tabatabaei
Arabian Journal for Science and Engineering, 2022, 47 : 13927 - 13942
[10] Comparative Analysis of Two Loop Integer and Fractional Order PID Controller for Inverted Pendulum
Lanjewar, Abhijeet
Khubalkar, Swapnil W.
Junghare, Anjali S.
2018 INTERNATIONAL CONFERENCE ON SMART ELECTRIC DRIVES AND POWER SYSTEM (ICSEDPS), 2018, : 380 - 383

← 1 2 3 4 5 →