Zaman gecikmeli sistemler için zaman gecikmeli merkezi olmayan denetleyiciler

Stabilization of linear time-invariant systems of delay differential-algebraic equations by linear time-invariant decentralized finite-dimensional or retarded time-delay output feedback controllers is considered in the objective of this dissertation. In this context, the stabilizability of considered type of systems by structurally constrained retarded time-delay controllers is analyzed. The concept of decentralized fixed mode is crucial in determining the feedback stabilizability and the feasibility of the desired performance criteria by means of the decentralized controllers. However, although a system has no fixed modes, some of its modes may be very close to being fixed where a high amount of control energy may be required to move these modes to desirable regions of the complex plane. It is thus important to characterize these modes, which are called approximate fixed modes. To provide quantitative information about these modes, a measure is proposed, based on the mobility of the modes. Some of the commonly used quantitative measures have been expanded to the considered type of systems to analytically compare the proposed measure. The proposed measure allows multiple time-delays and does not require additional expansions or preliminaries for multi-input multi-output systems, like some other commonly used measures. Thus, characterization with this measure, in general, requires less computational load while it can provide more explicit information about the controller effort than the other considered measures. A novel algorithm is presented to design centralized/decentralized retarded time-delay controllers for the considered type of systems. The effect of small time-delay perturbations is taken into account to ensure the robustness of stability against such perturbations. The proposed approach is based on the design of decentralized controllers with a sequence to be determined according to the mobility of the non-fixed rightmost modes. Also, the proposed approach can target a base controller effort during the design of each controller. In this way, the effort required to stabilize the system can be distributed between the local controllers. Next to the stabilization, a centralized approach has been proposed that can allow the assignment of dominant modes to meet basic performance requirements after ensuring stability.