Optimal LQR Controller Methods for Double Inverted Pendulum System on a Cart

Tayfun Abut

Makale detayları

Optimal LQR Controller Methods for Double Inverted Pendulum System on a Cart

Yazarlar:

Tayfun Abut

Yayıncı:

Dicle University

Dergi:

Dicle Üniversitesi Mühendislik Fakültesi Mühendislik Dergisi Vol.14 Issue 2, pp.247-255

Belge Tipi:

Makale

Yayın Tarihi:

6/2023

Belge Dili:

İngilizce

Document ID (Org No.):

2001291723

pISSN:

1309-8640

Anahtar kelimeler:

Özet:

 Most of the systems in our lives are inherently nonlinear and unstable. In control problems in the field of engineering, the aim is to define the control laws that maximize the operating efficiency of these systems under diverse security coefficients, and constraints and minimize error rates. This study aimed to model and optimally control a Double-Inverted Pendulum System on a Cart DIPSC. A DIPSC was modeled using the Lagrange-Euler method, and classical and optimal Linear Quadratic Regulator LQR control methods were designed for the control of the system. The purpose of the designed controllers is to keep the arms of the double inverted pendulum on the moving cart vertically in balance and to bring the cart to the determined balance position. The critically important Q and R parameters of the LQR control technique that is one of the optimal control techniques were obtained using the Genetic Algorithm GA, Particle Swarm Optimization PSO, and Grey Wolf Optimization GWO algorithms. The DIPSC system was checked using classical LQR and optimal LQR methods. All obtained results are given graphically. The proposed methods are presented and analyzed in tabular form using Settling time and Mean-Square-Error MSE performance criteria.

 Most of the systems in our lives are inherently nonlinear and unstable. In control problems in the field of engineering, the aim is to define the control laws that maximize the operating efficiency of these systems under diverse security coefficients, and constraints and minimize error rates. This study aimed to model and optimally control a Double-Inverted Pendulum System on a Cart DIPSC. A DIPSC was modeled using the Lagrange-Euler method, and classical and optimal Linear Quadratic Regulator LQR control methods were designed for the control of the system. The purpose of the designed controllers is to keep the arms of the double inverted pendulum on the moving cart vertically in balance and to bring the cart to the determined balance position. The critically important Q and R parameters of the LQR control technique that is one of the optimal control techniques were obtained using the Genetic Algorithm GA, Particle Swarm Optimization PSO, and Grey Wolf Optimization GWO algorithms. The DIPSC system was checked using classical LQR and optimal LQR methods. All obtained results are given graphically. The proposed methods are presented and analyzed in tabular form using Settling time and Mean-Square-Error MSE performance criteria.

 Most of the systems in our lives are inherently nonlinear and unstable. In control problems in the field of engineering, the aim is to define the control laws that maximize the operating efficiency of these systems under diverse security coefficients, and constraints and minimize error rates. This study aimed to model and optimally control a Double-Inverted Pendulum System on a Cart DIPSC. A DIPSC was modeled using the Lagrange-Euler method, and classical and optimal Linear Quadratic Regulator LQR control methods were designed for the control of the system. The purpose of the designed controllers is to keep the arms of the double inverted pendulum on the moving cart vertically in balance and to bring the cart to the determined balance position. The critically important Q and R parameters of the LQR control technique that is one of the optimal control techniques were obtained using the Genetic Algorithm GA, Particle Swarm Optimization PSO, and Grey Wolf Optimization GWO algorithms. The DIPSC system was checked using classical LQR and optimal LQR methods. All obtained results are given graphically. The proposed methods are presented and analyzed in tabular form using Settling time and Mean-Square-Error MSE performance criteria.

 Most of the systems in our lives are inherently nonlinear and unstable. In control problems in the field of engineering, the aim is to define the control laws that maximize the operating efficiency of these systems under diverse security coefficients, and constraints and minimize error rates. This study aimed to model and optimally control a Double-Inverted Pendulum System on a Cart DIPSC. A DIPSC was modeled using the Lagrange-Euler method, and classical and optimal Linear Quadratic Regulator LQR control methods were designed for the control of the system. The purpose of the designed controllers is to keep the arms of the double inverted pendulum on the moving cart vertically in balance and to bring the cart to the determined balance position. The critically important Q and R parameters of the LQR control technique that is one of the optimal control techniques were obtained using the Genetic Algorithm GA, Particle Swarm Optimization PSO, and Grey Wolf Optimization GWO algorithms. The DIPSC system was checked using classical LQR and optimal LQR methods. All obtained results are given graphically. The proposed methods are presented and analyzed in tabular form using Settling time and Mean-Square-Error MSE performance criteria.

Makale detayları

Optimal LQR Controller Methods for Double Inverted Pendulum System on a Cart

Yazarlar:

Tayfun Abut

Yayıncı:

Dicle University

Dergi:

Dicle Üniversitesi Mühendislik Fakültesi Mühendislik Dergisi Vol.14 Issue 2, pp.247-255

Belge Tipi:

Makale

Yayın Tarihi:

6/2023

Belge Dili:

İngilizce

Document ID (Org No.):

2001291723

pISSN:

1309-8640

Double Inverted Pendulum System on a Cart (DIPSC)

Optimal Control

Linear Quadratic Regulator (LQR)

GA

PSO

GWODouble Inverted Pendulum System on a Cart (DIPSC)

Optimal Control

Linear Quadratic Regulator (LQR)

GA

PSO

GWO

Sayı

Makale detayları

Yazarlar: Tayfun Abut

Yayıncı: Dicle University

Dergi: Dicle Üniversitesi Mühendislik Fakültesi Mühendislik Dergisi Vol.14 Issue 2, pp.247-255

Belge Tipi: Makale

Yayın Tarihi: 6/2023

Belge Dili: İngilizce

Document ID (Org No.): 2001291723

pISSN: 1309-8640

Sayı

Yazarlar:

Tayfun Abut

Yayıncı:

Dicle University

Dergi:

Dicle Üniversitesi Mühendislik Fakültesi Mühendislik Dergisi Vol.14 Issue 2, pp.247-255

Belge Tipi:

Makale

Yayın Tarihi:

6/2023

Belge Dili:

İngilizce

Document ID (Org No.):

2001291723

pISSN:

1309-8640