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Öğe A Novel Stabilizing Controller Design for Singular Delayed Systems: An Optimization Approach(IEEE, 2018) Parlakci, Mehmet Nur AlpaslanThis paper studies the problem of stabilization for a class of linear singular time-delay systems. First, a delay-dependent stability criterion is developed within the context of Lyapunov stability theory and linear matrix inequalities. The stability result is then extended to obtain a stabilizing state-feedback controller within the bilinear matrix inequalities (BMI) framework. Employing the cone complementary linearization approach, the synthesis problem can be resolved through a set of LMI conditions. Several numerical examples are presented to illustrate the application of the theoretical results.Öğe A robust delay-dependent guaranteed cost PID multivariable output feedback controller design for time-varying delayed systems: An LMI optimization approach(Elsevier, 2021) Parlakci, Mehmet Nur Alpaslan; Jafarov, Elbrous M.This paper deals with the new formulated problem of designing a robust delay-dependent guaranteed optimal cost proportional-integral-derivative (PID) multivariable output feedback controller for linear uncertain time delay systems with nonlinear parameter perturbations using a linear matrix inequalities (LMI) approach. Several less conservative delay-dependent stability conditions are formulated for the time-delay system under consideration in terms of LMIs. Based on an augmented form of Lyapunov-Krasovskii functionals, the free weighting matrices and Wirtinger inequality techniques are employed to obtain improved performance. An optimal guaranteed cost PID controller which minimizes the upper bound of cost function is provided. The main advantage of the proposed approach is to decouple the input and the output gain matrices allowing to synthesize the controller gain matrices through a strict LMI technique. The synthesis conditions are thus formulated in LMI form which avoids the use of any iterative approach to resolve the feasibility problem. Two numerical examples selected from the literature are presented to illustrate the effectiveness of the developed methodology. The numerical results indicate that the proposed method performs efficiently in comparison to the approaches from the existing literature. (c) 2021 European Control Association. Published by Elsevier Ltd. All rights reserved.Öğe A robust H-infinity controller design approach for neutral systems with time-varying delay and plant and controller uncertainties(Sage Publications Ltd, 2015) Parlakci, Mehmet Nur AlpaslanThis paper is concerned with a state feedback controller design method for neutral systems with a time-varying delay, considering uncertainties in the plant parameters, as well as in controller gain. The uncertainties are in additive form, affecting both the system matrices of the plant and the controller gain. The uncertainties that are assumed admissible are time-varying and norm-bounded. The neutral system is also subject to external disturbances. A robust stabilizing H-infinity state-feedback controller is synthesized under several conditions that are presented in the form of matrix inequalities. A new generalized type of Jensen integral inequality has been introduced for utilization in the derivation of the aforementioned results, which could thus have been relaxed via that approach. A feasible solution set is obtained using the well-known cone complementarity technique by solving a non-linear minimization problem subject to linear matrix inequalities. A numerical example with case studies concludes the present work. The results of the minimum achievable attenuation rate indicate considerable improvement in comparison with those reported in the literature.Öğe AN IMPROVED DELAY-DEPENDENT BOUNDED REAL LEMMA (BRL) AND H? CONTROLLER SYNTHESIS FOR LINEAR NEUTRAL SYSTEMS(Wiley, 2012) Parlakci, Mehmet Nur AlpaslanIn this paper, a novel delay-dependent bounded real criterion and an improved sufficient condition are derived for the design of an H-infinity, state-feedback controller for linear neutral time-delay systems. On the basis of an augmented Lyapunov-Krasoyskii functional, a new bounded real lemma is introduced in terms of a convex linear matrix inequality (LMI) condition that can be solved using interior point algorithms. The bounded real lemma is extended to obtain a sufficient condition for the existence of a delay-dependent H-infinity memoryless state-feedback controller. Neither any model transformation nor bounding of any of the cross terms are utilized while deriving the bounded real lemma. Moreover, the use of any free slack matrix variable approach is avoided to a certain extent in order not to increase the complexity of the synthesis problem. A cone complementary nonlinear minimization algorithm is employed to achieve a feasible solution set for the synthesis conditions. Finally, seven numerical examples are given to illustrate the effectiveness of the proposed method.Öğe Delay-dependent stability criteria for interval time-varying delay systems with nonuniform delay partitioning approach(Tubitak Scientific & Technological Research Council Turkey, 2011) Parlakci, Mehmet Nur AlpaslanThis paper investigates the conservatism reduction of Lyapunov-Krasovskii based conditions for the stability of a class of interval time-varying delay systems. The main idea is based on the nonuniform decomposition of the integral terms of the Lyapunov-Krasovskii functional. The delay interval is decomposed into a finite number of nonuniform segments with some scaling parameters Both differentiable delay case and non-differentiable delay case and unknown delay derivative bound case are taken into consideration. Sufficient delay-dependent stability criteria are derived in terms of matrix inequalities. Two suboptimal delau fractionation schemes, namely, linearization with cone complementary technique and linearization under additional constraints are introduced in Order to find a feasible solution set using LMI solvers with a convex optimization algorithm so that a suboptimal maximum allowable delay upper bound is achieved. It is theoretically demonstrated that the proposed technique has reduced complexity in comparison to some existing delay fractionation methods from the literature. A numerical example with case studies is given to demonstrate the effectiveness of the proposed method with respect to some existing ones from the literature.Öğe Design of a Static Output Feedback H-Infinity Controller for Linear Time-Invariant Systems: an LMI Approach(IEEE, 2018) Parlakci, Mehmet Nur AlpaslanThis note is concerned with the static output feedback (SOF) H-infinity controller design for linear time-invariant systems. A sufficient bilinear matrix inequality (BMI) condition is developed for finding a stabilizing static output feedback H-infinity controller. For the first time, a novel cone complementary linearization approach within the context of linear matrix inequalities (LMI) is proposed to investigate the feasibility of the stabilizing controller synthesis along with a minimized H-infinity attenuation rate. The proposed method requires neither any apriori assumption generally made on the input/output matrices nor any application of a coordinate transformation. An example is presented for the application of the proposed scheme.Öğe Robust Static Output Feedback H? Controller Design for Linear Parameter-Varying Time Delay Systems(Springer Birkhauser, 2024) Parlakci, Mehmet Nur AlpaslanThis paper addresses the problem of synthesizing an H infinity static output feedback controller for linear parameter-varying (LPV) time delay systems subject to time-varying delay. The motivation for this research stems from the challenges associated with designing controllers for such systems. In addition to considering the static output feedback controller design, we also explore the design of a dynamic output fee back controller within the context of H-infinity control. This is achieved by augmenting the system dynamics with the inclusion of the dynamic controller state and form lating the dynamic output feedback controller in an equivalent form of static output feedback control for the overall system. To tackle the synthesis problem, a quadratic Lyapunov-Krasovskii functional is selected, and a sufficient matrix inequality co dition is developed by utilizing the well-known Jensen-type integral inequality. This approach enhances the robustness of the controller design and accounts for the time varying delay characteristics of the system. An iterative algorithm is introduced to efficiently search for a potential feasible solution set of the synthesis problem. The effectiveness of the proposed controller design methods is demonstrated through several numerical examples. The application of the proposed approaches is showcased, and a comparative analysis is performed. Specifically, the results are compared with the existing approaches in the literature, considering both dynamic output feedback controllers and static output feedback controllers for H-infinity control. This comparison highlights the advantages and differences of the proposed methodology. Overall, this research contributes to the field by offering systematic methodologies for synthesiing H-infinity static output feedback controllers for LPV time delay systems subject to time-varying delay. The incorporation of dynamic output feedback controller design provides additional insights and flexibility. The numerical examples validate the applicability of the proposed methods and underscore their potential advantages in terms of robustness and performance.