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  • 1.
    Almér, Stefan
    et al.
    KTH, Skolan för teknikvetenskap (SCI), Matematik (Inst.), Optimeringslära och systemteori.
    Fujioka, Hisaya
    KTH. Kyoto University, Japan.
    Jönsson, Ulf
    KTH, Skolan för teknikvetenskap (SCI), Matematik (Inst.), Optimeringslära och systemteori.
    Kao, Chung Yao
    KTH, Skolan för teknikvetenskap (SCI), Matematik (Inst.), Optimeringslära och systemteori.
    Patino, D.
    Riedinger, P.
    Geyer, T.
    Beccuti, A.
    Papafotiou, G.
    Morari, M.
    Wernrud, A.
    Rantzer, A.
    Hybrid control techniques for switched-mode DC-DC converters part I: The step-down topology2007Ingår i: 2007 American Control Conference, IEEE , 2007, s. 5450-5457Konferensbidrag (Refereegranskat)
    Abstract [en]

    Several recent techniques from hybrid and optimal control are evaluated on a power electronics benchmark problem. The benchmark involves a number of practically interesting operating scenarios for a fixed-frequency synchronous step-down dc-dc converter. The specifications are defined such that good performance only can be obtained if the switched and nonlinear nature of the problem is respected during the design phase.

  • 2.
    Almér, Stefan
    et al.
    KTH, Tidigare Institutioner, Matematik.
    Jönsson, Ulf
    KTH, Tidigare Institutioner, Matematik.
    Kao, Chung-Yao
    KTH, Tidigare Institutioner, Matematik.
    Mari, Jorge
    Global stability analysis of DC-DC converters using sampled-data modeling2004Ingår i: PROCEEDINGS OF THE 2004 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 2004, s. 4549-4554Konferensbidrag (Refereegranskat)
    Abstract [en]

    The paper presents stability analysis of a class of pulse-width modulated (PWM) systems which incorporates many different DC-DC converters. Two types of pulse-width modulation (digital and analog control) are considered. A procedure is developed for systematic search for Lyapunov functions. The state space is partitioned in such a way that stability is verified if a set of coupled Linear Matrix Inequalities (LMIs) is feasible. Global stability is considered as well as the computation of local regions of attraction.

  • 3. Beccuti, A. G.
    et al.
    Papafotiou, G.
    Morari, M.
    Almér, Stefan
    KTH, Skolan för teknikvetenskap (SCI), Matematik (Inst.), Optimeringslära och systemteori.
    Fujioka, Hisaya
    KTH. Kyoto University, Japan.
    Jönsson, Ulf
    KTH, Skolan för teknikvetenskap (SCI), Matematik (Inst.), Optimeringslära och systemteori.
    Kao, Chung Yao
    KTH, Skolan för teknikvetenskap (SCI), Matematik (Inst.), Optimeringslära och systemteori. University of Melbourne, Australia.
    Wernrud, A.
    Rantzer, A.
    Bâja, M.
    Comierais, H.
    Buisson, J.
    Hybrid control techniques for switched-mode DC-DC converters part II: The step-up topology2007Ingår i: 2007 American Control Conference, Vols 1-13, 2007, s. 5464-5471Konferensbidrag (Refereegranskat)
    Abstract [en]

    Several recent techniques from hybrid and optimal control are evaluated on a power electronics benchmark problem. The benchmark involves a number of practically interesting operating scenarios for a fixed-frequency step-up dc-dc converter. The specifications are defined such that good performance can only be obtained if the switched and nonlinear nature of the problem is respected during the design phase.

  • 4.
    Kao, ChungYao
    et al.
    KTH, Tidigare Institutioner, Matematik.
    Lincoln, B
    Simple stability criteria for systems with time-varying delays2004Ingår i: Automatica, ISSN 0005-1098, E-ISSN 1873-2836, Vol. 40, nr 8, s. 1429-1434Artikel i tidskrift (Refereegranskat)
    Abstract [en]

    This paper considers the problem of checking stability of linear feedback systems with time-varying but bounded delays. Simple but powerful criteria of stability are presented for both continuous-time and discrete-time systems. Using these criteria, stability can be checked in a closed loop Bode plot. This makes it easy to design the system for robustness.

  • 5.
    Kao, Chung-Yao
    et al.
    KTH, Tidigare Institutioner, Matematik.
    Megretski, A.
    Jönsson, Ulf T.
    KTH, Tidigare Institutioner, Matematik.
    Specialized fast algorithms for IQC feasibility and optimization problems2004Ingår i: Automatica, ISSN 0005-1098, E-ISSN 1873-2836, Vol. 40, nr 2, s. 239-252Artikel i tidskrift (Refereegranskat)
    Abstract [en]

    The conventional way to treat integral quadratic constraint (IQC) problems is to transform them into semi-definite programs (SDPs). SDPs can then be solved using interior point methods which have been proven efficient. This approach, however, is not always the most efficient since it introduces additional decision variables to the SDP, and the additional decision variables sometimes largely increase the complexity of the problem. In this paper, we demonstrate how to solve IQC problems by other alternatives. More specifically, we consider two cutting plane algorithms. We will show that in certain cases these cutting plane algorithms can solve IQC problems much faster than the conventional approach. Numerical examples, as well as some explanations from the point of view of computational complexity, are provided to support our point.

  • 6.
    Kao, Chung-Yao
    et al.
    KTH, Tidigare Institutioner, Matematik.
    Megretski, A.
    Jönsson, Ulf T.
    KTH, Tidigare Institutioner, Matematik.
    Rantzer, A.
    A MATLAB toolbox for robustness analysis2004Ingår i: Proceedings of the IEEE International Symposium on Computer-Aided Control System Design, 2004, s. 297-302Konferensbidrag (Refereegranskat)
    Abstract [en]

    Verification of control systems is often done using extensive simulation. This gives the engineer useful qualitative information about the system performance. However, simulation cannot be used to rigorously prove stability and robustness of the system. Such properties can only be verified using mathematical analysis which for many realistic systems becomes rather involved. This paper presents the MATLAB toolbox IQCβ. It provides a user friendly interface for advanced semi-automatic systems analysis.

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