State Space Model Reference Adaptive Control for a Class of Second-Degree Fractional Order Systems with Different Eigenvalues

Seif Eddine Khelas; Samir Ladaci; Yassine Bensafia

Article Details

State Space Model Reference Adaptive Control for a Class of Second-Degree Fractional Order Systems with Different Eigenvalues

Authors:

Seif Eddine Khelas | Samir Ladaci | Yassine Bensafia

Publisher:

Gazi University

Main Topics:

Engineering

Journal:

Gazi University Journal of Science Vol.37 Issue 3, pp.1300-1317

Document Type:

Article

Publication Date:

1/2024

Document Language:

English

Document ID (Org No.):

2001319742

pISSN:

2147-1762

Keywords:

Abstract:

 This study proposes an adaptive control synthesis for a class of second-degree fractional order systems with different eigenvalues in the state-space domain. The proposed fractional order adaptive controller is a generalization of the MRAC controller for the class of scalar fractional order systems. In order to control the fractional order plant, an adaptive state space feedback controller is applied based on the error between the system output and a chosen reference model using a fractional adaptation law to make the fractional order plant track the fractional order reference model. We show that the resulting adaptive regulator is able to stabilize the fractional order second degree system with a satisfying performance. A simulation example illustrating these performance properties is provided along with a comparison with a fractional order sliding mode control FOSMC to demonstrate the superiority of the proposed control scheme.

 This study proposes an adaptive control synthesis for a class of second-degree fractional order systems with different eigenvalues in the state-space domain. The proposed fractional order adaptive controller is a generalization of the MRAC controller for the class of scalar fractional order systems. In order to control the fractional order plant, an adaptive state space feedback controller is applied based on the error between the system output and a chosen reference model using a fractional adaptation law to make the fractional order plant track the fractional order reference model. We show that the resulting adaptive regulator is able to stabilize the fractional order second degree system with a satisfying performance. A simulation example illustrating these performance properties is provided along with a comparison with a fractional order sliding mode control FOSMC to demonstrate the superiority of the proposed control scheme.

 This study proposes an adaptive control synthesis for a class of second-degree fractional order systems with different eigenvalues in the state-space domain. The proposed fractional order adaptive controller is a generalization of the MRAC controller for the class of scalar fractional order systems. In order to control the fractional order plant, an adaptive state space feedback controller is applied based on the error between the system output and a chosen reference model using a fractional adaptation law to make the fractional order plant track the fractional order reference model. We show that the resulting adaptive regulator is able to stabilize the fractional order second degree system with a satisfying performance. A simulation example illustrating these performance properties is provided along with a comparison with a fractional order sliding mode control FOSMC to demonstrate the superiority of the proposed control scheme.

 This study proposes an adaptive control synthesis for a class of second-degree fractional order systems with different eigenvalues in the state-space domain. The proposed fractional order adaptive controller is a generalization of the MRAC controller for the class of scalar fractional order systems. In order to control the fractional order plant, an adaptive state space feedback controller is applied based on the error between the system output and a chosen reference model using a fractional adaptation law to make the fractional order plant track the fractional order reference model. We show that the resulting adaptive regulator is able to stabilize the fractional order second degree system with a satisfying performance. A simulation example illustrating these performance properties is provided along with a comparison with a fractional order sliding mode control FOSMC to demonstrate the superiority of the proposed control scheme.

Article Details

State Space Model Reference Adaptive Control for a Class of Second-Degree Fractional Order Systems with Different Eigenvalues

Authors:

Seif Eddine Khelas | Samir Ladaci | Yassine Bensafia

Publisher:

Gazi University

Main Topics:

Engineering

Journal:

Gazi University Journal of Science Vol.37 Issue 3, pp.1300-1317

Document Type:

Article

Publication Date:

1/2024

Document Language:

English

Document ID (Org No.):

2001319742

pISSN:

2147-1762

Fractional order system

MRAC

Second-degree system

Different eigenvalues

Stability analysis

Issues

Article Details

State Space Model Reference Adaptive Control for a Class of Second-Degree Fractional Order Systems with Different Eigenvalues

Authors: Seif Eddine Khelas | Samir Ladaci | Yassine Bensafia

Publisher: Gazi University

Main Topics: Engineering

Journal: Gazi University Journal of Science Vol.37 Issue 3, pp.1300-1317

Document Type: Article

Publication Date: 1/2024

Document Language: English

Document ID (Org No.): 2001319742

pISSN: 2147-1762

Fractional order system

MRAC

Second-degree system

Different eigenvalues

Stability analysis

Issues

Authors:

Seif Eddine Khelas | Samir Ladaci | Yassine Bensafia

Publisher:

Gazi University

Main Topics:

Engineering

Journal:

Gazi University Journal of Science Vol.37 Issue 3, pp.1300-1317

Document Type:

Article

Publication Date:

1/2024

Document Language:

English

Document ID (Org No.):

2001319742

pISSN:

2147-1762