Parlakci, M.-N.A.2024-07-182024-07-1820149783952417393https://doi.org/10.23919/ecc.2009.7074953https://hdl.handle.net/11411/6513European Union Control Association (EUCA);IEEE CSS;IFAC;MTA SZTAKI;National Office for Research and Technology (NKTH)2009 10th European Control Conference, ECC 2009 -- 23 August 2009 through 26 August 2009 -- -- 111795In this paper an improved delay-dependent bounded real criterion and 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-Krasovskii 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? 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 complementarity nonlinear minimization algorithm is employed to achieve a feasible solution set for the synthesis conditions. Finally, three numerical examples are given to illustrate the effectiveness of the proposed method. © 2009 EUCA.eninfo:eu-repo/semantics/closedAccessControllersDelay Control SystemsFeedback ControlLinear Matrix İnequalitiesLyapunov FunctionsNonlinear Control SystemsNumerical MethodsState FeedbackFeasible Solution SetH-İnfinity ControllerInterior Point AlgorithmLyapunov-Krasovskii FunctionalsMemoryless State Feedback ControllersNeutral Time Delay SystemsNonlinear MinimizationState Feedback ControllerReal Time SystemsConference Object2-s2.0-8495517939010.23919/ecc.2009.70749533574N/A3569