Delay-dependent feedforward control of time-delay systems with parametric uncertainties via dynamic IQCs

Delay-dependent feedforward control of time-delay systems with parametric uncertainties via dynamic IQCs. Ucun, L. & Kucukdemiral, I. B. Optimal Control Applications and Methods.

Paper abstract bibtex 2 downloads

This paper studies the design problem of a robust delay-dependent H-infinity feedforward controller design for a class of linear uncertain time-delay system having state and control delays when the system is subject to L-2 type disturbances. The proposed controller scheme involves two main controllers which are static state-feedback and dynamic feedforward controllers. The state feedback controller is used for stabilizing the delay and uncertainty-free system whereas the feedforward controller performs disturbance attenuation. Dynamic type Integral Quadratic Constraints (IQCs) which consist of frequency dependent multipliers, have been introduced to represent the delays and parametric uncertainties in the system where the degree of the multiplier used in IQC representation is in an adjustable nature. This scheme allows the designer to obtain less-conservative controllers with increasing precision. Sufficient delay dependent criteria in terms of Linear Matrix Inequalities (LMIs) are obtained such that the uncertain linear time-delay system is guaranteed to be globally, uniformly, asymptotically stable with a minimum disturbance attenuation level. Several numerical examples together with the simulation studies provided at the end, illustrate the usefulness of the proposed design.

@article{ Ucun2012_OCAM,
  author = {L. Ucun and I. B. Kucukdemiral},
  title = {Delay-dependent feedforward control of time-delay systems with
parametric uncertainties via dynamic IQCs},
  journal = {Optimal Control Applications and Methods},
  abstract = {This paper studies the design problem of a robust delay-dependent H-infinity feedforward controller design for a class of linear uncertain time-delay system having state and control delays when the system is subject to L-2 type disturbances. The proposed controller scheme involves two main controllers which are static state-feedback and dynamic feedforward controllers. The state feedback controller is used for stabilizing the delay and uncertainty-free system whereas the feedforward controller performs disturbance attenuation. Dynamic type Integral Quadratic Constraints (IQCs) which consist of frequency dependent multipliers, have been introduced to represent the delays and parametric uncertainties in the system where the degree of the multiplier used in IQC representation is in an adjustable nature. This scheme allows the designer to obtain less-conservative controllers with increasing precision. Sufficient delay dependent criteria in terms of Linear Matrix Inequalities (LMIs) are obtained such that the uncertain linear time-delay system is guaranteed to be globally, uniformly, asymptotically stable with a minimum disturbance attenuation level. Several numerical examples together with the simulation studies provided at the end, illustrate the usefulness of the proposed design.},
  year = {},
  url = {http://onlinelibrary.wiley.com/doi/10.1002/oca.2053/abstract},
  volume = {},
  pages = {Accepted for Publication}
}

Downloads: 2

{"_id":{"_str":"51f63d8959ced8df4400062b"},"__v":2,"authorIDs":[],"author_short":["Ucun, L.","Kucukdemiral, I.<nbsp>B."],"bibbaseid":"ucun-kucukdemiral-delaydependentfeedforwardcontroloftimedelaysystemswithparametricuncertaintiesviadynamiciqcs","bibdata":{"html":"<div class=\"bibbase_paper\"> \n\n\n<span class=\"bibbase_paper_titleauthoryear\">\n\t<span class=\"bibbase_paper_title\"><a name=\"Ucun2012_OCAM\"> </a>Delay-dependent feedforward control of time-delay systems with parametric uncertainties via dynamic IQCs.</span>\n\t<span class=\"bibbase_paper_author\">\n<a class=\"bibbase author link\" href=\"http://www.bibbase.org/show?bib=data.bibbase.org/author/l-ucun/%3Fformat=bibtex&groupby=year\">Ucun, L.</a>; and <a class=\"bibbase author link\" href=\"http://www.bibbase.org/show?bib=www.yildiz.edu.tr/~beklan/ref.bib&group0=year\">Kucukdemiral, I. B.</a></span>\n\t\n</span>\n\n\n\n<i>Optimal Control Applications and Methods</i>,\n\nAccepted for Publication.\n\n .\n\n\n\n\n<br class=\"bibbase_paper_content\"/>\n\n<span class=\"bibbase_paper_content\">\n \n \n \n \n \n\n <a href=\"http://onlinelibrary.wiley.com/doi/10.1002/oca.2053/abstract\"\n onclick=\"javascript:log_download('ucun-kucukdemiral-delaydependentfeedforwardcontroloftimedelaysystemswithparametricuncertaintiesviadynamiciqcs', 'http://onlinelibrary.wiley.com/doi/10.1002/oca.2053/abstract')\">\n <img src=\"http://www.bibbase.org/img/filetypes/blank.png\"\n\t alt=\"Delay-dependent feedforward control of time-delay systems with parametric uncertainties via dynamic IQCs [.2053/abstract]\" \n\t class=\"bibbase_icon\"\n\t style=\"width: 24px; height: 24px; border: 0px; vertical-align: text-top\" ><span class=\"bibbase_icon_text\">Paper</span></a> \n  \n \n \n <a href=\"javascript:showBib('Ucun2012_OCAM')\"\n class=\"bibbase link\">\n \n\t\n\t\n\t\n BibTeX\n <i class=\"fa fa-caret-down\"></i></a>\n \n \n  \n <a class=\"bibbase_abstract_link bibbase link\"\n href=\"javascript:showAbstract('Ucun2012_OCAM')\">\n Abstract\n <i class=\"fa fa-caret-down\"></i></a>\n \n \n \n\n \n   \n <span class=\"bibbase_stats_paper\" style=\"color: #777;\">\n <span>2 downloads</span>\n </span>\n \n \n \n</span>\n\n<div class=\"well well-small bibbase\" id=\"bib_Ucun2012_OCAM\"\n style=\"display:none\">\n <pre>@article{ Ucun2012_OCAM,\n author = {L. Ucun and I. B. Kucukdemiral},\n title = {Delay-dependent feedforward control of time-delay systems with\nparametric uncertainties via dynamic IQCs},\n journal = {Optimal Control Applications and Methods},\n abstract = {This paper studies the design problem of a robust delay-dependent H-infinity feedforward controller design for a class of linear uncertain time-delay system having state and control delays when the system is subject to L-2 type disturbances. The proposed controller scheme involves two main controllers which are static state-feedback and dynamic feedforward controllers. The state feedback controller is used for stabilizing the delay and uncertainty-free system whereas the feedforward controller performs disturbance attenuation. Dynamic type Integral Quadratic Constraints (IQCs) which consist of frequency dependent multipliers, have been introduced to represent the delays and parametric uncertainties in the system where the degree of the multiplier used in IQC representation is in an adjustable nature. This scheme allows the designer to obtain less-conservative controllers with increasing precision. Sufficient delay dependent criteria in terms of Linear Matrix Inequalities (LMIs) are obtained such that the uncertain linear time-delay system is guaranteed to be globally, uniformly, asymptotically stable with a minimum disturbance attenuation level. Several numerical examples together with the simulation studies provided at the end, illustrate the usefulness of the proposed design.},\n year = {},\n url = {http://onlinelibrary.wiley.com/doi/10.1002/oca.2053/abstract},\n volume = {},\n pages = {Accepted for Publication}\n}</pre>\n</div>\n\n\n<div class=\"well well-small bibbase\" id=\"abstract_Ucun2012_OCAM\"\n style=\"display:none\">\n This paper studies the design problem of a robust delay-dependent H-infinity feedforward controller design for a class of linear uncertain time-delay system having state and control delays when the system is subject to L-2 type disturbances. The proposed controller scheme involves two main controllers which are static state-feedback and dynamic feedforward controllers. The state feedback controller is used for stabilizing the delay and uncertainty-free system whereas the feedforward controller performs disturbance attenuation. Dynamic type Integral Quadratic Constraints (IQCs) which consist of frequency dependent multipliers, have been introduced to represent the delays and parametric uncertainties in the system where the degree of the multiplier used in IQC representation is in an adjustable nature. This scheme allows the designer to obtain less-conservative controllers with increasing precision. Sufficient delay dependent criteria in terms of Linear Matrix Inequalities (LMIs) are obtained such that the uncertain linear time-delay system is guaranteed to be globally, uniformly, asymptotically stable with a minimum disturbance attenuation level. Several numerical examples together with the simulation studies provided at the end, illustrate the usefulness of the proposed design.\n</div>\n\n\n</div>\n","downloads":2,"abstract":"This paper studies the design problem of a robust delay-dependent H-infinity feedforward controller design for a class of linear uncertain time-delay system having state and control delays when the system is subject to L-2 type disturbances. The proposed controller scheme involves two main controllers which are static state-feedback and dynamic feedforward controllers. The state feedback controller is used for stabilizing the delay and uncertainty-free system whereas the feedforward controller performs disturbance attenuation. Dynamic type Integral Quadratic Constraints (IQCs) which consist of frequency dependent multipliers, have been introduced to represent the delays and parametric uncertainties in the system where the degree of the multiplier used in IQC representation is in an adjustable nature. This scheme allows the designer to obtain less-conservative controllers with increasing precision. Sufficient delay dependent criteria in terms of Linear Matrix Inequalities (LMIs) are obtained such that the uncertain linear time-delay system is guaranteed to be globally, uniformly, asymptotically stable with a minimum disturbance attenuation level. Several numerical examples together with the simulation studies provided at the end, illustrate the usefulness of the proposed design.","author":["Ucun, L.","Kucukdemiral, I. B."],"author_short":["Ucun, L.","Kucukdemiral, I.<nbsp>B."],"bibtex":"@article{ Ucun2012_OCAM,\n author = {L. Ucun and I. B. Kucukdemiral},\n title = {Delay-dependent feedforward control of time-delay systems with\nparametric uncertainties via dynamic IQCs},\n journal = {Optimal Control Applications and Methods},\n abstract = {This paper studies the design problem of a robust delay-dependent H-infinity feedforward controller design for a class of linear uncertain time-delay system having state and control delays when the system is subject to L-2 type disturbances. The proposed controller scheme involves two main controllers which are static state-feedback and dynamic feedforward controllers. The state feedback controller is used for stabilizing the delay and uncertainty-free system whereas the feedforward controller performs disturbance attenuation. Dynamic type Integral Quadratic Constraints (IQCs) which consist of frequency dependent multipliers, have been introduced to represent the delays and parametric uncertainties in the system where the degree of the multiplier used in IQC representation is in an adjustable nature. This scheme allows the designer to obtain less-conservative controllers with increasing precision. Sufficient delay dependent criteria in terms of Linear Matrix Inequalities (LMIs) are obtained such that the uncertain linear time-delay system is guaranteed to be globally, uniformly, asymptotically stable with a minimum disturbance attenuation level. Several numerical examples together with the simulation studies provided at the end, illustrate the usefulness of the proposed design.},\n year = {},\n url = {http://onlinelibrary.wiley.com/doi/10.1002/oca.2053/abstract},\n volume = {},\n pages = {Accepted for Publication}\n}","bibtype":"article","id":"Ucun2012_OCAM","journal":"Optimal Control Applications and Methods","key":"Ucun2012_OCAM","pages":"Accepted for Publication","title":"Delay-dependent feedforward control of time-delay systems with parametric uncertainties via dynamic IQCs","type":"article","url":"http://onlinelibrary.wiley.com/doi/10.1002/oca.2053/abstract","volume":"","year":"","role":"author","urls":{"Paper":"http://onlinelibrary.wiley.com/doi/10.1002/oca.2053/abstract"},"bibbaseid":"ucun-kucukdemiral-delaydependentfeedforwardcontroloftimedelaysystemswithparametricuncertaintiesviadynamiciqcs"},"bibtype":"article","biburl":"http://www.yildiz.edu.tr/~beklan/ref.bib","downloads":2,"search_terms":["delay","dependent","feedforward","control","time","delay","systems","parametric","uncertainties","via","dynamic","iqcs","ucun","kucukdemiral"],"title":"Delay-dependent feedforward control of time-delay systems with parametric uncertainties via dynamic IQCs","title_words":["delay","dependent","feedforward","control","time","systems","parametric","uncertainties","via","dynamic","iqcs"],"year":null,"dataSources":["yCYqW3M7WPLvBQ2H9"]}