Integral Operators in Relation to the HOSVD‐Based Canonical Form

Rövid, András; Szeidl, László; Várlaki, Péter

doi:10.1002/asjc.1017

Cited by 7 publications

(4 citation statements)

References 19 publications

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“…Regarding the topic of this paper the reading of further papers are suggested, which extend the theoretical and practical side of the TP model transformation based design.…”

Section: Introductionmentioning

confidence: 99%

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

Szollosi

Bárányi

2015

Asian Journal of Control

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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.

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“…Regarding the topic of this paper the reading of further papers are suggested, which extend the theoretical and practical side of the TP model transformation based design.…”

Section: Introductionmentioning

confidence: 99%

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

Szollosi

Bárányi

2015

Asian Journal of Control

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“…All of these optimum properties have an impact on the other participants in the traffic, on the emissions and traffic noise. This facilitates smoother traffic processes in the vehicle groups and the automation of traffic-dependent optimum decisions by automatically adjusting optimal parameters in the case of autonomous vehicles [26,27,31].…”

Section: Discussionmentioning

confidence: 99%

Vehicle Dynamic-based Approach for the Optimization of Traffic Parameters of the Intelligent Driver Model (IDM) and for the Support of Autonomous Vehicles’ Driving Ability

2019

APH

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The research identifies the dynamical parameters in the area of mechanics within the base of traffic model parameters used by the Intelligent Driver Model (IDM), which are the highest acceleration parameters set by the vehicle, the desired speed parameters of the vehicle and the distance-keeping parameters of the vehicle. All this facilitates the automatic control of autonomous electric vehicles in certain vehicle groups.

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“…This introduced a conceptually new direction in control design methodologies and is researched to the present day. Insight and details about the control theory of the TP model transformation can be found at , and papers and extend the theoretical and practical side of control theory applications. One of the main advantages of TP model transformation is, that it is able to generate a HOSVD based polytopic TP model representation from various model representations: either conventional analytical formulas, or fuzzy logic, neural network, genetic algorithms, etc.…”

Section: Introductionmentioning

confidence: 98%

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

Szollosi

Bárányi

2017

Asian Journal of Control

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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.

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Integral Operators in Relation to the HOSVD‐Based Canonical Form

Cited by 7 publications

References 19 publications

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

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

Vehicle Dynamic-based Approach for the Optimization of Traffic Parameters of the Intelligent Driver Model (IDM) and for the Support of Autonomous Vehicles’ Driving Ability

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

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