Alexandra Szöllösi

56040185400

Publications - 5

Influence of the Tensor Product Model Representation of qLPV Models on the Feasibility of Linear Matrix Inequality Based Stability Analysis

Alexandra Szöllösi P. Baranyi

Publication Name: Asian Journal of Control

Publication Date: 2018-01-01

Volume: 20

Issue: 1

Page Range: 531-547

Description:

The paper investigates and proves the statement, that the convex hull of the polytopic tensor product (TP) model representation influences the feasibility of linear matrix inequality (LMI) based stability analysis methods. The proof is based on a complex stability analysis example of a given quasi linear parameter varying (qLPV) state-space model. Specifically, the three degree of freedom (3-DoF) aeroelastic wing section model including Stribeck friction is used as the tool for the example model. The proof is achieved by utilizing TP model transformation and LMI based tools. As a first step, numerous TP model type control solutions holding different convex hulls are systematically derived of the qLPV model via LMI based control design methods. As a second step, each control solution is further equivalently transformed for different TP model representations holding different convex hulls. Finally, the stability of all solutions over all TP model representations are checked via LMI based stability analysis methods. As a result of the two steps, a two dimensional (2D) convex hull space is attained for the 3-DoF aeroelastic wing section model. The two dimensions are denoted by the LMI based control design and the LMI based stability analysis for different convex hulls. Based on the numerical results, a detailed, comprehensive analysis is provided. The paper as a novelty proves the statement, that the polytopic TP model representation of a given control solution strongly influences the feasibility of LMI based stability analysis methods.

Open Access: Yes

DOI: 10.1002/asjc.1566

Improved control performance of the 3-DoF aeroelastic wing section: a TP model based 2D parametric control performance optimization

Alexandra Szöllösi P. Baranyi

Publication Name: Asian Journal of Control

Publication Date: 2017-03-01

Volume: 19

Issue: 2

Page Range: 450-466

Description:

Based on the most recent Tensor Product model transformation solutions, the paper presents an improved control performance for the most recent version of the three Degree of Freedom aeroelastic wing section model including Stribeck friction, according to signals pitch, plunge, trailing edge and control value, based on practical engineering criteria such as overshoot, undershoot, signal end values and settling time. This is achieved through proposing a novel two dimensional parametric convex hull manipulation based method for Tensor Product model transformation based Control Design Frameworks. The approach provides two TP model representations for the different requirements of the controller and observer of a given model, opening the possibility to utilize the TP model transformation's convex hull manipulation potential in control performance optimization for a separate optimization of the two TP model representations. Numerical simulation results are provided to illustrate the control performance improvements of the aeroelastic wing section model through the proposed 2D parametric convex hull manipulation based design method.

Open Access: Yes

DOI: 10.1002/asjc.1418

Influence of the Tensor Product Model Representation Of QLPV Models on The Feasibility of Linear Matrix Inequality

Alexandra Szöllösi P. Baranyi

Publication Name: Asian Journal of Control

Publication Date: 2016-07-01

Volume: 18

Issue: 4

Page Range: 1328-1342

Description:

The present paper proves that the vertexes of the tensor product (TP) model type polytopic representation of a given quasi linear parameter varying (qLPV) state-space model strongly interfere with the feasibility regions of linear matrix inequality (LMI)-based control design methods. Furthermore this is valid both for the LMI-based feasibility of the controller and the observer design, but the influence differs for the controller and the observer system components. More specifically, the factors influencing the feasibility regions of the LMI-based control design include: (i) the manipulation of the vertexes' position; and (ii) the size and complexity of the TP model type polytopic representation, i.e. the number of the vertexes contained in the TP model representation. The proof is based on a complex control design example, where the influence of these factors stated above can be easily and clearly indicated. Furthermore the paper shows via the example that the maximal parameter space of the controller and observer also depends on these factors. The example model consists of the complex Nonlinear Aeroelastic Test Apparatus (NATA) model of the three degree of freedom aeroelastic wing section model including Stribeck friction and the control design method is based on the relaxed TP model transformation-based control design framework that supports the flexible manipulation of these factors.

Open Access: Yes

DOI: 10.1002/asjc.1238

Influence of the Manipulation of the Polytopic Tensor Product Model Representation on the Control Performance of LMI Based Design

P. Várlaki Alexandra Szöllösi P. Baranyi

Publication Name: Proceedings 2015 IEEE International Conference on Systems Man and Cybernetics Smc 2015

Publication Date: 2016-01-12

Volume: Unknown

Issue: Unknown

Page Range: 2603-2608

Description:

The paper studies the effect of the manipulation of the polytopic TP model representation of a given quasi Linear Parameter Varying (qLPV) state-space model on the control performance results. The investigated model in the case study consists of the extended, Stribeck friction included three degrees of-freedom version of the aero elastic wing section of the Nonlinear Aero elastic Test Apparatus (NATA) model. The investigation is carried out through the Tensor Product (TP) model transformation based Control Design Framework, which bridges the manipulation of the polytopic representation and Linear Matrix Inequality (LMI) based control design methods. Different TP model representations of the given qLPV model are derived: A TP model representation with a sum-normalized non-negative (SNNN) convex hull, a TP model representation with a close to-normal (CNO) convex hull and interpolated TP model representations. Upon these representations Linear Matrix Inequality based design methods are applied to attain the controller and observer system components. The resulting control systems are tested through numerical simulation and their performance are compared and evaluated. The paper presents results, where the interpolated representations lead to better control performance results, which indicates, that the manipulation of the polytopic TP model representation may lead to further potential optimization possibilities. Also, this shows, that in order to find the optimal solution the manipulation is a necessary and important step.

Open Access: Yes

DOI: 10.1109/SMC.2015.455

Example for convex hull tightening increasing the feasible parameter region at Linear Matrix Inequality based control design

P. Várlaki Alexandra Szöllösi P. Baranyi

Publication Name: Ines 2014 IEEE 18th International Conference on Intelligent Engineering Systems Proceedings

Publication Date: 2014-09-24

Volume: Unknown

Issue: Unknown

Page Range: 175-180

Description:

The paper shows an example when the tightening of the convex hull determined by the vertexes of the polytopic Tensor Product model representation of a given quasi Linear Parameter Varying state-space model leads to feasible Linear Matrix Inequality based control design. In addition the paper unveils that the relaxation of the Tensor Product model complexity interferes also with the Linear Matrix Inequality feasibility results. The example at hand consists of the complex Nonlinear Aeroelastic Test Apparatus model of the three degree of freedom aeroelastic wing section model including Stribeck friction. The relaxation and convex hull tightening is based on the concept of the Tensor Product model transformation.

Open Access: Yes

DOI: 10.1109/INES.2014.6909364