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    Salman Zaidi, Andreas Kroll NOE TS Fuzzy Modelling of Nonlinear Dynamic Systems with Uncertainties using Symbolic Interval-valued data 2017 Applied Soft Computing, vol. 57, pp. 353-362  DOI , URL  
    Abstract: An approach to Nonlinear Output Error (NOE) modelling using Takagi - Sugeno (TS) fuzzy model for a class of nonlinear dynamic systems having variability in their outputs is presented. Furthermore, the approach is compared and graphically illustrated with other alternate approaches on the basis of interval data and interval membership functions. Assuming the identification method can be repeated offline a number of times under similar conditions, multiple input - output time series can be obtained from the underlying system. These time series are pre-processed using the techniques of statistics and probability theory to generate the envelopes of response (curves outlining the upper and lower extremes of response) at each time instant. Two types of envelopes are described in this research: the max - min envelopes and the envelopes based on the confidence intervals provided by extended Chebyshev's inequality. By incorporating interval data in fuzzy modelling and using the theory of symbolic interval-valued data, a TS fuzzy model with interval antecedent and consequent parameters is obtained. This algorithm provides a model for predicting the expected response as well as envelopes. In order to validate the presented model, a simulation case study is devised in this paper. Moreover, it is demonstrated on the real data obtained from an electro-mechanical throttle valve.
    BibTeX:
    @article{Zaidi-ASC-2016,
     abstract = {An approach to Nonlinear Output Error (NOE) modelling using Takagi - Sugeno (TS) fuzzy model for a class of nonlinear dynamic systems having variability in their outputs is presented. Furthermore, the approach is compared and graphically illustrated with other alternate approaches on the basis of interval data and interval membership functions. Assuming the identification method can be repeated offline a number of times under similar conditions, multiple input - output time series can be obtained from the underlying system. These time series are pre-processed using the techniques of statistics and probability theory to generate the envelopes of response (curves outlining the upper and lower extremes of response) at each time instant. Two types of envelopes are described in this research: the max - min envelopes and the envelopes based on the confidence intervals provided by extended Chebyshev's inequality. By incorporating interval data in fuzzy modelling and using the theory of symbolic interval-valued data, a TS fuzzy model with interval antecedent and consequent parameters is obtained. This algorithm provides a model for predicting the expected response as well as envelopes. In order to validate the presented model, a simulation case study is devised in this paper. Moreover, it is demonstrated on the real data obtained from an electro-mechanical throttle valve.},
     author = {Salman Zaidi and Andreas Kroll},
     doi = {https://dx.doi.org/10.1016/j.asoc.2017.04.004},
     journal = {Applied Soft Computing},
     language = {english},
     mrtnote = {FuzzyT2,peer},
     mrturla = {https://mrt-pc1.mrt.maschinenbau.uni-kassel.de/MRT/Bibliothek/Publikationen/2017-Zaidi-ASC-NOE_TS.pdf},
     owner = {salman},
     pages = {353-362},
     timestamp = {2016.05.03},
     title = {{NOE} {TS} Fuzzy Modelling of Nonlinear Dynamic Systems with Uncertainties using Symbolic Interval-valued
    data},
     url = {https://www.sciencedirect.com/science/article/pii/S1568494617301758},
     volume = {57},
     year = {2017}
    }
    
    
    Andreas Kroll, Axel Dürrbaum, David Arengas, Hassan Al Mawla, Lars Kistner, Alexander Rehmer µPlant: Eine automatisierungstechnisch-orientierte Modellfabrik für vernetzte heterogene Systeme 2017 atp edition, vol. 59, no. 9, pp. 40-53, September  URL  
    Abstract: Modellfabriken werden mittlerweile häufig in Forschung und Lehre eingesetzt, aber über ihren Aufbau und ihre Funktionen ist wenig zu lesen. Im Beitrag wird eine Übersicht über in Deuschland vorhandene Modellfabriken gegeben. Zudem werden Details der selbst konzipierten und realisierten Modellfabrik µPlant vorgestellt. Diese besteht aus mehreren mit Transportrobotern verbundenen Produktionsinseln/-zellen, die jeweils lokal über angepasste Automatisierungssysteme verfügen. Alle Module sind stofflich und informationstechnisch integriert und die Modellfabrik kann voll automatisiert betrieben werden. Der Beitrag richtet sich an Personen mit Interesse an Aufbau, Beschaffung oder Nutzung von Modellfabriken
    BibTeX:
    @article{2017-Kroll_et_al-atp_edition-Modellfabrik_muPlant,
     abstract = {Modellfabriken werden mittlerweile häufig in Forschung und Lehre eingesetzt, aber über ihren Aufbau und ihre Funktionen ist wenig zu lesen. Im Beitrag wird eine Übersicht über in Deuschland vorhandene Modellfabriken gegeben. Zudem werden Details der selbst konzipierten und realisierten Modellfabrik µPlant vorgestellt. Diese besteht aus mehreren mit Transportrobotern verbundenen Produktionsinseln/-zellen, die jeweils lokal über angepasste Automatisierungssysteme verfügen. Alle Module sind stofflich und informationstechnisch integriert und die Modellfabrik kann voll automatisiert betrieben werden. Der Beitrag richtet sich an Personen mit Interesse an Aufbau, Beschaffung oder Nutzung von Modellfabriken},
     author = {Andreas Kroll AND Axel Dürrbaum AND David Arengas AND Hassan {Al Mawla} AND Lars Kistner AND Alexander Rehmer},
     journal = {atp edition},
     keywords = {Modellfabrik, Modularisierung, dezentrale
    Automation},
     language = {german},
     month = {September},
     mrtnote = {peer, muPlant, FEE},
     mrturla = {https://mrt-pc1.mrt.maschinenbau.uni-kassel.de/MRT/Bibliothek/Publikationen/2017-Kroll-atp-Modellfabrik_muPlant-PUB.pdf},
     number = {9},
     owner = {duerrbaum},
     pages = {40-53},
     timestamp = {2017.08.15},
     title = {µPlant: Eine automatisierungstechnisch-orientierte Modellfabrik für vernetzte heterogene
    Systeme},
     url = {https://www.di-verlag.de/de/Zeitschriften/atp-edition/2017/09/Plant:-Modellfabrik-fuer-vernetzte-heterogene-Anlagen},
     volume = {59},
     year = {2017}
    }
    
    
    Andreas Kroll, Axel Dürrbaum On optimal experiment design for identifying premise and conclusion parameters of Takagi-Sugeno models: nonlinear regression case 2017 Applied Soft Computing, vol. 60, pp. 407 - 422  DOI , URL  
    Abstract: Optimal Experiment Design (OED) is a well-developed concept for regression problems that are linear-in-the-parameters. In case of experiment design to identify nonlinear Takagi-Sugeno (TS) models, non-model-based approaches or OED restricted to the local model parameters (assuming the partitioning to be given) have been proposed. In this article, a Fisher Information Matrix (FIM) based OED method is proposed that considers local model and partition parameters. Due to the nonlinear model, the FIM depends on the model parameters that are subject of the subsequent identification. To resolve this paradoxical situation, at first a model-free space filling design (such as Latin Hypercube Sampling) is carried out. The collected data permits making design decisions such as determining the number of local models and identifying the parameters of an initial TS model. This initial TS model permits a FIM-based OED, such that data is collected which is optimal for a TS model. The estimates of this first stage will in general not be ideal. To become robust against parameter mismatch, a sequential optimal design is applied. In this work the focus is on D-optimal designs. The proposed method is demonstrated for three nonlinear regression problems: an industrial axial compressor and two test functions.
    BibTeX:
    @article{2017-Kroll_Duerrbaum-ASOC-OED,
     abstract = {Optimal Experiment Design (OED) is a well-developed concept for regression problems that are linear-in-the-parameters. In case of experiment design to identify nonlinear Takagi-Sugeno (TS) models, non-model-based approaches or OED restricted to the local model parameters (assuming the partitioning to be given) have been proposed. In this article, a Fisher Information Matrix (FIM) based OED method is proposed that considers local model and partition parameters. Due to the nonlinear model, the FIM depends on the model parameters that are subject of the subsequent identification. To resolve this paradoxical situation, at first a model-free space filling design (such as Latin Hypercube Sampling) is carried out. The collected data permits making design decisions such as determining the number of local models and identifying the parameters of an initial TS model. This initial TS model permits a FIM-based OED, such that data is collected which is optimal for a TS model. The estimates of this first stage will in general not be ideal. To become robust against parameter mismatch, a sequential optimal design is applied. In this work the focus is on D-optimal designs. The proposed method is demonstrated for three nonlinear regression problems: an industrial axial compressor and two test functions.},
     author = {Andreas Kroll AND Axel Dürrbaum},
     doi = {10.1016/j.asoc.2017.07.015},
     journal = {Applied Soft Computing},
     keywords = {Takagi-Sugeno fuzzy models; optimal experiment design; design of experiments, nonlinear regression; nonlinear system
    identification},
     language = {english},
     mrtnote = {peer,OED},
     mrturla = {https://mrt-pc1.mrt.maschinenbau.uni-kassel.de/MRT/Bibliothek/Publikationen/2017-Kroll_Duerrbaum-ASoC-OED-submitted-PUB.pdf},
     owner = {duerrbaum},
     pages = {407 -- 422},
     timestamp = {2017.07.10},
     title = {On optimal experiment design for identifying premise and conclusion parameters of Takagi-Sugeno models: nonlinear regression
    case},
     url = {https://reader.elsevier.com/reader/sd/pii/S1568494617304246},
     volume = {60},
     year = {2017}
    }
    
    
    Andreas Kroll, Horst Schulte Benchmark problems for nonlinear system identification and control using Soft Computing methods: need and overview 2014 Applied Soft Computing, vol. 25, pp. 496-513, Dezember  DOI , URL  
    Abstract: Using benchmark problems to demonstrate and compare novel methods to the work of others could be more widely adopted by the Soft Computing community. This article contains a collection of several benchmark problems in nonlinear control and system identification, which are presented in a standardized format. Each problem is augmented by examples where it has been adopted for comparison. The selected examples range from component to plant level problems and originate mainly from the areas of mechatronics/drives and process systems. The authors hope that this overview contributes to a better adoption of benchmarking in method development test and demonstration.
    BibTeX:
    @article{2014-Kroll-Benchmark_NL-Applied_Soft_Computing,
     abstract = {Using benchmark problems to demonstrate and compare novel methods to the work of others could be more widely adopted by the Soft Computing community. This article contains a collection of several benchmark problems in nonlinear control and system identification, which are presented in a standardized format. Each problem is augmented by examples where it has been adopted for comparison. The selected examples range from component to plant level problems and originate mainly from the areas of mechatronics/drives and process systems. The authors hope that this overview contributes to a better adoption of benchmarking in method development test and demonstration.},
     author = {Andreas Kroll and Horst Schulte},
     doi = {10.1016/j.asoc.2014.08.034},
     journal = {Applied Soft Computing},
     keywords = {Benchmarking, Nonlinear control, Nonlinear system
    identification},
     language = {english},
     month = {Dezember},
     mrtnote = {peer},
     mrturla = {https://mrt-pc1.mrt.maschinenbau.uni-kassel.de/MRT/Bibliothek/Publikationen/2014-Kroll_Schulte-ASC-Benchmark.pdf},
     owner = {duerrbaum},
     pages = {496-513},
     timestamp = {2014.09.30},
     title = {Benchmark problems for nonlinear system identification and control using Soft Computing methods: need and
    overview},
     url = {https://www.sciencedirect.com/science/article/pii/S1568494614003998},
     volume = {25},
     year = {2014}
    }
    
    
    Sommer, Hanns-Jakob, Schreiber, Lothar Is Logic in the Mind or in the World? Why a philosophical Question can affect the Understanding of Intelligence 2012 Journal of Artificial General Intelligence, Chaos, Solitons \& Fractals, vol. 3, no. 1, pp. 25-47, Elsevier Ltd., September  DOI , URL  
    BibTeX:
    @article{sommer2010ai,
     author = {Sommer, Hanns-Jakob and Schreiber, Lothar},
     booktitle = {Chaos, Solitons \& Fractals},
     doi = {10.2478/v10229-011-0014-4},
     editor = {M.S. El Naschie},
     journal = {Journal of Artificial General Intelligence},
     language = {english},
     month = {September},
     mrtnote = {peer},
     mrturla = {https://mrt-pc1.mrt.maschinenbau.uni-kassel.de/MRT/Bibliothek/Publikationen/2012-Sommer-JAGI-Is_Logic_Mind_World-PUB.pdf},
     number = {1},
     owner = {duerrbaum},
     pages = {25-47},
     publisher = {Elsevier Ltd.},
     timestamp = {2007.11.19},
     title = {Is Logic in the Mind or in the World? Why a philosophical Question can affect the Understanding of
    Intelligence},
     url = {https://versita.metapress.com/content/qm262485x7t156w8/fulltext.pdf},
     volume = {3},
     year = {2012}
    }
    
    
    Axel Dürrbaum, Andreas Kroll, Hanns Sommer CI-Methoden zur Koordination und Entkoppelung komplexer Systeme 2012 at - Automatisierungstechnik, vol. 60, no. 10, pp. 600-610  DOI  
    Abstract: Der Beitrag beschreibt die Konzeptentwicklung und das Auffinden von Koordinationsregeln für komplexe verkoppelte Systeme. Am Beispiel dieser Aufgabenstellung wird die Bedeutung der Computational Intelligence für die Systemtheorie erläutert.
    BibTeX:
    @article{at-CI_Entkopplung-ad_ak_hs_2012,
     abstract = {Der Beitrag beschreibt die Konzeptentwicklung und das Auffinden von Koordinationsregeln für komplexe verkoppelte Systeme. Am Beispiel dieser Aufgabenstellung wird die Bedeutung der Computational Intelligence für die Systemtheorie erläutert.},
     author = {Axel Dürrbaum and Andreas Kroll and Hanns Sommer},
     doi = {10.1524/auto.2012.1029},
     journal = {at -- Automatisierungstechnik},
     keywords = {Komplexe verkoppelte Systeme, Entkoppelung,
    CI-Methoden},
     language = {german},
     mrtnote = {peer},
     mrturla = {https://mrt-pc1.mrt.maschinenbau.uni-kassel.de/MRT/Bibliothek/Publikationen/2012-Dürrbaum-at-CI_Entkopplung-PUB.pdf},
     mrturlb = {https://mrt-pc1.mrt.maschinenbau.uni-kassel.de/MRT/Bibliothek/Publikationen/2012-Dürrbaum-at-CI_Entkopplung-PUB.pdf},
     number = {10},
     owner = {duerrbaum},
     pages = {600--610},
     timestamp = {2012.05.07},
     title = {CI-Methoden zur Koordination und Entkoppelung
    komplexer Systeme},
     volume = {60},
     year = {2012}
    }
    
    
    Sommer, Hanns-JakobLiege Emergence of classical reality from a quantum mechanical background 2009 Chaos, Solitons \& Fractals, Chaos, Solitons \& Fractals, vol. 39, pp. 1027-1036, Elsevier Ltd., Feburary  DOI  
    Abstract: A model for the process of knowledge acquisition is presented that shows how naive realism emerges from a quantum mechanical background. We formalise this process of emergence and obtain in this way an illustrative insight to some of the most fundamental physical theories: GRW-theory and $E^\infty$-theory.
    BibTeX:
    @article{sommer2009csf,
     abstract = {A model for the process of knowledge acquisition is presented that shows how naive realism emerges from a quantum mechanical background. We formalise this process of emergence and obtain in this way an illustrative insight to some of the most fundamental physical theories: GRW-theory and $E^\infty$-theory.},
     author = {Sommer, Hanns-JakobLiege},
     booktitle = {Chaos, Solitons \& Fractals},
     doi = {10.1016/j.chaos.2007.04.002},
     editor = {M.S. El Naschie},
     journal = {Chaos, Solitons \& Fractals},
     language = {english},
     month = {Feburary},
     mrtnote = {nopeer},
     mrturla = {https://mrt-pc1.mrt.maschinenbau.uni-kassel.de/MRT/Bibliothek/Publikationen/2009-Sommer-CSF-Emergence_classical_reality_from_quantum_mechanical_background-PUB.pdf},
     owner = {duerrbaum},
     pages = {1027-1036},
     publisher = {Elsevier Ltd.},
     timestamp = {2007.11.19},
     title = {Emergence of classical reality from a quantum
    mechanical background},
     volume = {39},
     year = {2009}
    }
    
    

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