Bilinmeyen Doğrusal Olmayan Etkilerin Etkisi Altındaki Yapılarda Kullanılan ATMD Sistemleri için Uyarlanabilir Bir Kontrolör Tasarımı

Yıl 2022, Cilt: 24 Sayı: 71, 571 - 579, 16.05.2022

Rafet Can Ümütlü Hasan Öztürk Barış Bıdıklı

https://doi.org/10.21205/deufmd.2022247121

Öz

Aktif ayarlı kütle sönümleyici (ATMD) cihazları, çok katlı yapılarda depremlerin neden olduğu titreşimleri azaltmak için birçok uygulamada tercih edilmektedir. Literatürde ATMD sistemleri için Lyapunov tabanlı kontrolör tasarımı popüler bir araştırma konusudur. Literatürde bugüne kadar yapılan çalışmaların çoğunda bina yapıları doğrusal olarak modellenmiştir ve bu araştırmalardaki kontroller de doğrusaldır. Çok katlı yapıların doğrusal olmayan dinamikleri sadece birkaç çalışmada ele alınmıştır, ancak bu çalışmalarda çeşitli doğrusallaştırma yaklaşımlarını ile birlikte doğrusal kontrol stratejileri kullanılmıştır. Doğrusal olmayan davranış, ATMD sistemlerine sahip çok katlı binaların doğal davranışıdır. Sonuç olarak, doğrusal olmayan bir kontrolör tasarlarken doğrusal olmayan dinamikleri incelemek daha gerçekçi bir yaklaşım olarak görülmektedir. Ayrıca, kontrol sistemlerinin güvenli bir şekilde çalışabilmesini garanti etmek için kontrol tasarımı sırasında çok sayıda öngörülemeyen dış faktör dikkate alınmalıdır. Daha gerçekçi bir yaklaşım oluşturmak için çok katlı yapının lineer modeli bu çalışmada lineer olmayan belirsiz fonksiyonlar eklenerek yeniden yapılandırılmıştır. Bu çalışmada, kontrolör tasarımı sırasında yapısal parametrelerin bilinmediği varsayılmıştır. Uyarlanabilir kompanzasyon kuralları, kontrol tasarımında gerekli olan sistemin tüm sistem parametrelerinin yerini alır. Teorik olarak, Lyapunov tabanlı argümanlar, geliştirilen kontrolörün ana kontrol amacına ulaşırken yapının stabilitesini koruyabileceğini göstermek için kullanılır. Matlab-Simulink, geliştirilen kontrolörlerin performansını analiz etmek için kullanılmıştır.

Anahtar Kelimeler

Doğrusal olmayan kontrol, Titreşim kontrolü, Lyapunov tabanlı kontrol, Robust Kontrol, ATMD Sistemleri

An Adaptive Controller Design for ATMD System Used in Structures Under the Effect of Unknown Nonlinear Effects

Öz

Active tuned mass damper (ATMD) devices are favored in many applications to reduce vibrations induced by earthquakes in multi-story structures. In the literature, the Lyapunov-based controller design for ATMD systems is a popular topic of research. The building structures have been modeled linearly in the majority of studies so far in the literature. As a result, the controls in these researches are linear as well. Only a few studies have considered the nonlinear dynamics of multi-story structures, however, in these works, linear control schemes employing various linearization approaches are provided. Nonlinear behavior is the inherent behavior of multi-story buildings with ATMD systems. As a consequence, studying nonlinear dynamics while designing a nonlinear controller is regarded to be a more realistic approach. Furthermore, numerous unpredictable external factors should be considered during control design to guarantee that the control systems are able to operate securely in any environment. In order to create a more realistic approach, the linear model of the multi-story structure is reconfigured in this work by adding nonlinear ambiguous functions to it. It was assumed in this study that the structural parameters were unknown at the time of controller design. Adaptive compensation rules replace all system parameters of the system necessary in control design. Theoretically, Lyapunov-based arguments are used to show that the developed controller can keep the structure stable while attaining the main control aim. Matlab-Simulink is used to analyze the performance of the developed controllers.

Anahtar Kelimeler

Nonlinear control, Vibration control, Lyapunov based control, Robust Control, ATMD Systems

Kaynakça

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