Stabilization and Tracking Control of Inverted Pendulum Using Fractional Order PID Controllers

Mishra, Sunil Kumar; Chandra, Dinesh

doi:10.1155/2014/752918

Cited by 52 publications

(24 citation statements)

References 26 publications

(32 reference statements)

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…The formula of the Laplace transform of the RL fractional derivative in (5) is stated in (7), for n − 1 < α ≤ n, where s ≡ jω denotes the Laplace transform (complex) variable. Under zero initial conditions for order α(0 < α < 1), the Laplace transform of the RL fractional derivative defined in (5) can be expressed in (8).…”

Section: Fractional Calculusmentioning

confidence: 99%

“…1 The author is with Graduate School, Southeast Asia University, 19/1 Petchakasem Rd., Nongkhaem, Bangkok, Thailand, 10160., E-mail: dpdeachap@gmail.com control [7], inverted pendulum control [8] and gun control system [9]. Several design and tuning methods for FOPID have been consecutively launched, for example, rule-based methods [10,11] and analytical methods [12,13].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Fractional Order PID Controller Design for DC Motor Speed Control System via Flower Pollination Algorithm

Puangdownreong

2019

ECTI-EEC

View full text Add to dashboard Cite

Over two decades, the fractional (non-integer) order PID (FOPID or PIλDµ ) controller was introduced and demonstrated to perform the better responses in comparison with the conventional integer order PID (IOPID). In this paper, the design of an optimal FOPID controller for a DC motor speed control system by the flower pollination algorithm (FPA), oneof the most efficient population-based metaheuristic optimization searching techniques, is proposed. Based on the modern optimization framework, five parameters of the FOPID controller are optimized by the FPA to meet the response specifications of the DC motor speed control system and defined as constraint functions. Results obtained by the FOPID controller are compared with those obtained by the IOPID designed by the FPA. As the simulation results show, the FOPID can provide significantly superior speed responses to the IOPID.

show abstract

Section: Fractional Calculusmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Fractional Order PID Controller Design for DC Motor Speed Control System via Flower Pollination Algorithm

Puangdownreong

2019

ECTI-EEC

View full text Add to dashboard Cite

show abstract

“…There are a lot of researchers about most popular types inverted pendulums such as the rotational single arm pendulum, the cart inverted pendulum, and the double inverted investigated the inverted pendulum by switching two different control laws [3], and in [4] LQR, double-PID and pole placement control techniques are used to control a cart inverted pendulum system. Moreover, fractional order PID controllers are proposed in [5] and [6] for control of the inverted pendulum system. In [7], a simulation study on PID and LQR control of a cart inverted pendulum system is carried out with and without disturbance input.…”

Section: Introductionmentioning

confidence: 99%

Using real interpolation method for adaptive identification of nonlinear inverted pendulum system

Tin¹,

Minh²,

Trang³

et al. 2019

IJECE

View full text Add to dashboard Cite

<p>In this paper, we investigate the inverted pendulum system by using real interpolation method (RIM) algorithm. In the first stage, the mathematical model of the inverted pendulum system and the RIM algorithm are presented. After that, the identification of the inverted pendulum system by using the RIM algorithm is proposed. Finally, the comparison of the linear analytical model, RIM model, and nonlinear model is carried out. From the results, it is found that the inverted pendulum system by using RIM algorithm has simplicity, low computer source requirement, high accuracy and adaptiveness in the advantages.</p>

show abstract

“…Once the PI  D  is compared with the conventional PID controller, there are two extra parameters  and  making the PI  D  controller more efficient, but more complicate than the conventional PID controller in design and implementation procedures. By literatures, the PI  D  controller has been successfully conducted in many applications, for instance, process control [3], automatic voltage regulator [4], DC motor control [5], power electronic control [6], inverted pendulum control [7] and gun control system [8]. Several design and tuning methods for the PI  D  controller have been consecutively launched, for example, rule-based methods [9,10] and analytical methods [11,12].…”

Section: Introductionmentioning

confidence: 99%

CS-Based Optimal PID Controller Design for Induction Motor Speed Control System

Thammarat¹,

Puangdownreong²

2019

ijeei

View full text Add to dashboard Cite

Over two decades, the PI  D  (or fractional-order PID) controller was introduced and demonstrated to perform the better responses in comparison with the conventional integerorder PID controller. The PI  D  controller consists of five parameters, i.e. proportional gain (Kp), integration gain (Ki), derivative gain (Kd), integration order () and derivative order (). Effects of the PI  D  parameter tuning on the system responses are studied and summarized in this paper. Based on the modern optimization, designing the optimal PI  D  controller for an induction motor speed control system by using the cuckoo search (CS), one of the most efficient metaheuristic optimization search techniques, is proposed. Five parameters of the PI  D  controller will be optimized by the CS to meet the response specifications of the threephase induction motor (3-IM) speed control system which is defined as particularly constraint functions. Results obtained by the PI  D  controller are compared with those obtained by the conventional PID controller designed by Ziegler-Nichols tuning rule, Cohen-Coon tuning rule and the PI  D  controller designed by the CS. As simulation results, it was found that the PI  D  controller designed by the CS can provide faster and smoother speed responses than others, significantly. The stability of the 3-IM speed controlled system with the PI  D  controller designed by the CS is also investigated.

show abstract

Stabilization and Tracking Control of Inverted Pendulum Using Fractional Order PID Controllers

Cited by 52 publications

References 26 publications

Fractional Order PID Controller Design for DC Motor Speed Control System via Flower Pollination Algorithm

Fractional Order PID Controller Design for DC Motor Speed Control System via Flower Pollination Algorithm

Using real interpolation method for adaptive identification of nonlinear inverted pendulum system

CS-Based Optimal PID Controller Design for Induction Motor Speed Control System

Contact Info

Product

Resources

About