Andrea Weber

57222000952

Publications - 7

LMI feasibility analysis of 2DOF NATA model

Miklós Kuczmann Andrea Weber

Publication Name: Pollack Periodica

Publication Date: 2024-01-01

Volume: Unknown

Issue: Unknown

Page Range: Unknown

Description:

Present paper shows the different types of tensor product model based linear matrix inequality controller design and feasibility analysis of two degrees of freedom aeroelastic wing section model. The tensor product models are based on reducing or removing the nonlinear behavior of the system and weighting functions. The linear matrix inequality based method results globally asymptotically stable system. The goal of the paper is to examine that selecting and varying the transformation space influences the feasibility of the linear matrix inequality based controller. The paper gives a comparison between the different tensor product models in terms of controller performance. The linear matrix inequality gives feasible solution for the controller design if the transformation space is selected adequately.

Open Access: Yes

DOI: 10.1556/606.2024.00888

Extending the TPTool MATLAB toolbox with LMI based observer and disturbance rejection design

Miklós Kuczmann Andrea Weber

Publication Name: Results in Control and Optimization

Publication Date: 2023-12-01

Volume: 13

Issue: Unknown

Page Range: Unknown

Description:

Present paper demonstrates the extensions of MATLAB TPtool toolbox. The toolbox does not include the LMI based observer and disturbance rejection design. Thus, the suggested extensions include the observer and H∞ based disturbance rejection LMI conditions for TP models. Furthermore this toolbox contains obsolete algorithms. Therefore, in this paper, the recommended algorithms are presented. Showing the proposed design method is based on a nonlinear dynamic system; modified TP model of the TORA example is used. Thus, the detailed observer and controller design, the disturbance rejection design are presented with LMI stability conditions through the HOSVD based method in the PDC framework.

Open Access: Yes

DOI: 10.1016/j.rico.2023.100302

Extending the Input and Transformation Space of Different TP Models: An LMI-based Feasibility Analysis

Miklós Kuczmann Andrea Weber P. Baranyi

Publication Name: Acta Polytechnica Hungarica

Publication Date: 2023-01-01

Volume: 20

Issue: 9

Page Range: 257-276

Description:

This paper discusses that the selection and modification of the input and the transformation space, of the Tensor Product (TP) model representation, of a given quasi– Linear Parameter Varying (qLPV) state‐space model, has an influence on the feasibility regions of the Linear Matrix Inequality (LMI) based control design techniques. Moreover, three factors affect the feasibility regions of the LMI-based control design: The manipulation of the position of vertices The number of the inputs of the TS fuzzy model representation Modifying the transformation space The proof is based on a complex control design example, where the impact of the above factors can be clearly demonstrated. Furthermore, the paper presents that the maximal and minimal parameter space of the controller depends on factors (i) and (ii). The aim of the feasibility test is to show that there exists a solution for LMIs or not, considering these factors. The example is based on the academic Translational Oscillator with Rotational Actuator (TORA) system. Then, the TP model transformation-based framework is used to vary the input space of the TP model representation. In addition, the paper gives a very decisive conclusion that the design technique may be sensitive for the input space of the TS fuzzy model, hence it is necessary to consider the number of inputs, the transformation space and the gains defined on the inputs when a TP model is generated to achieve the best solution to the control purposes. All in all, this paper investigates the effect of input space modification of the TP model representation of a given qLPV state-space model on the feasibility regions of LMI-based controller design methods.

Open Access: Yes

DOI: 10.12700/APH.20.9.2023.9.15

TP Transformation Based Controller and Observer Design of the Inverted Pendulum

Miklós Kuczmann Andrea Weber

Publication Name: Przeglad Elektrotechniczny

Publication Date: 2022-01-01

Volume: 98

Issue: 10

Page Range: 34-39

Description:

The paper discusses that applying of CNO and IRNO type weighting functions results different TP models, including controller and observer. Selection of weighting functions has influence on the TP model transformation and the LMI based design. Present paper introduces the LMI based observer and controller design of the inverted pendulum via the TP model transformation based method using CNO and IRNO type weighting functions. The TP transformation is accomplished by qLPV modeling and HOSVD method. The paper gives a conclusion and a comparison of the original and estimated state variables and the impact of applying two types of weighting functions. The aim of present paper is to prove that using different type of weighting functions influences the TP models and LMI methods, but LMIs still result feasible solution for controller and observer design. Furthermore the modification allows to choose the better controller/observer.

Open Access: Yes

DOI: 10.15199/48.2022.10.06

TP Transformation Based Observer and Controller Design of 2DoF Aeroelastic Wing Section Model

Miklós Kuczmann Andrea Weber

Publication Name: 2022 IEEE 1st International Conference on Internet of Digital Reality Iod 2022

Publication Date: 2022-01-01

Volume: Unknown

Issue: Unknown

Page Range: 17-22

Description:

This paper presents a Tensor Product (TP) model based observer and controller design via Linear Matrix In-equality (LMI) method of 2DoF aeroelastic wing section model. The transformation is based on the Higher Order Singular Value Decomposition HOSVD methodology and the generated linear time-invariant (LTI) vertex systems describe the nonlinear model. The aim of the paper is to investigate that selecting and varying the transformation space and weighting functions have influence on the feasibility regions of LMI based observer and controller. The paper gives a comparison between the controller and observer performance. The proposed method results globally asymptotically stable system, and the LMI gives feasible solution for the observer and controller design if the transformation space and weighting functions are selected adequately.

Open Access: Yes

DOI: 10.1109/IoD55468.2022.9986922

Study of the TP transformation via the inverted pendulum example

Miklós Kuczmann Andrea Weber

Publication Name: Acta Technica Jaurinensis

Publication Date: 2021-02-24

Volume: 14

Issue: 1

Page Range: 1-23

Description:

This study decribes the Tensor Product (TP) based model construction through the nonlinear dynamic system of the inverted pendulum. It presents the steps of TP modeling, various weighting functions and the Linear Matrix Inequality (LMI) based approach. LMI control has been used to stabilize the nonlinear system. This study shows the quasi-Linear Parameter-Varying (qLPV) state-space modeling and the Higher-Order Singular Value Decomposition (HOSVD) based TP model transformation. Some research in this issue already exists, but only the furuta, rotary, single and parallel-type double pendulum have been examined. In this paper the TP model transformation of the inverted pendulum is analyzed in terms of stability.

Open Access: Yes

DOI: 10.14513/actatechjaur.00562

TP Transformation of the Inverted Pendulum

Miklós Kuczmann Andrea Weber

Publication Name: Gpmc 2020 2nd IEEE International Conference on Gridding and Polytope Based Modeling and Control Proceedings

Publication Date: 2020-11-19

Volume: Unknown

Issue: Unknown

Page Range: 13-18

Description:

This paper describes a Tensor Product (TP) based model via the inverted pendulum. Base of the controller designing is used the Linear Matrix Inequality (LMI) in order to stabilize the nonlinear system. This case shows the quasi-Linear Parameter-Varying (qLPV) modeling and the Higher-Order Singular Value Decomposition (HOSVD) based TP transformation.

Open Access: Yes

DOI: 10.1109/GPMC50267.2020.9333815