Browsing by Author "Gümüşsoy, S."
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Item Open Access On the mixed sensitivity minimization for systems with infinitely many unstable modes(Elsevier, 2004) Gümüşsoy, S.; Özbay, HitayIn this note we consider a class of linear time invariant systems with infinitely many unstable modes. By using the parameterization of all stabilizing controllers and a data transformation, we show that ℋ ∞ controllers for such systems can be computed using the techniques developed earlier for infinite dimensional plants with finitely many unstable modes.Item Open Access Remarks on strong stabilization and stable H∞ controller design(Institute of Electrical and Electronics Engineers, 2005) Gümüşsoy, S.; Özbay, HitayA state space based design method is given to find strongly stabilizing controllers for multi-input-multi-output plants (MIMO). A sufficient condition is derived for the existence of suboptimal stable H∞ controller in terms of linear matrix inequalities (LMI) and the controller order is twice that of the plant A new parameterization of strongly stabilizing controllers is determined using linear fractional transformations (LFT).Item Open Access Sensitivity minimization by stable controllers for a class of unstable time-delay systems(IEEE, 2006) Gümüşsoy, S.; Özbay, HitayIn this paper sensitivity minimization problem is considered for a class of unstable time delay systems. Our goal is to find a stable controller stabilizing the feedback system and giving rise to smallest H∞ norm for the sensitivity function. This problem has been solved by Ganesh and Pearson (1986) for finite dimensional plants using Nevanlinna-Pick interpolation. We extend their technique to include possibly unstable time delay systems. Moreover, we illustrate suboptimal solutions, and their robust implementation.Item Open Access Sensitivity minimization by stable controllers: an interpolation approach for suboptimal solutions(IEEE, 2007) Gümüşsoy, S.; Özbay, HitayWeighted sensitivity minimization is studied within the framework of strongly stabilizing (stable)H∞controller design for a class of infinite dimensional systems. This problem has been solved by Ganesh and Pearson, [8], for finite dimensional plants using Nevanlinna-Pick interpolation. We extend their technique to a class of unstable time delay systems. Moreover, we illustrate suboptimal solutions, and their robust implementation.Item Open Access Stable ℋ∞ controller design for time-delay systems(Taylor & Francis, 2008-04) Gümüşsoy, S.; Özbay, HitayThis paper investigates stable suboptimal [image omitted] controllers for a class of single-input single-output time-delay systems. For a given plant and weighting functions, the optimal controller minimizing the mixed sensitivity (and the central suboptimal controller) may be unstable with finitely or infinitely many poles in +. For each of these cases, search algorithms are proposed to find stable suboptimal [image omitted] controllers. These design methods are illustrated with examples.