Research On Theory And Algorithms For Vibration Control Of Building Structures Based On Decentralized Control

In recent decades, with the development of the social economy more and more civil engineering buildings are taking the long-span and high-rise form. House building structures occupy the major proportion of civil engineering structures. In China as crustal movement is active, earthquake disasters happen very frequently. Tall building structures have relatively big form and have personnel and property assembled densely. Compared with general building structures, the earthquake damage of tall building structures is more serious. The safety performance of building structures has been under serious threats resulting from strong earthquake and other loads. How to effectively avoid destruction to structures has become a huge challenge in building structures seismic area. Traditional seismic technology has certain limitations on the cushioning effect of building structures. For this, active control technology can make up for the shortcomings of traditional seismic technology. Structural vibration control technology can effectively reduce the structural vibration response of building structures. At the same time, more and more new materials and new technology is used to improve the comfort and safety of building structures. Control algorithm is a hotspot of study in last decade. Control algorithm with high efficiency and good robust performance plays an important role in improving the control performance of building structure vibration control system. With the development of control technology, how to ensure the stability of the control system puts forward higher requirements for control algorithm. In recent years, centralized control strategy is more applied in the structural vibration control. However, in terms of the control problem of complex multi-degree of freedom building structure vibration control system, although the centralized control strategy can achieve good control effect, but it exists some imperfections such as a large amount of calculation, poor reliability and the instability of control performance. Decentralized control strategy can solve that problem. It provides a new way to solve the complex multi-degree of freedom building structure vibration control.Based on the decentralized control, this paper makes a study of structural vibration control theories and calculation methods. The main finished research work and achievements can be summarized as follows:(1) The building structure vibration control under seismic excitation has been studied in this paper by adopting the overlapping decentralized LQR control method in continuous time state. The emphasis of the paper is discuss the influence of the actuator failure mode on structural vibration control effects. Taking the limited actuating force and the sampling time into account, overlapping decentralized LQR control method of building structure in continuous time state has been studied. The applicability of building structure overlapping decentralized control method which is based on LQR control algorithm has been validated through an eight layers and a six layers building structure numerical examples.(2) In this paper, combining overlapping decentralized control (ODC) method and sliding mode control (SMC) algorithm, the overlapping decentralized sliding mode control method of building structure vibration system has been put forward. The structural vibration response of a twenty layers Benchmark building structure model has been calculated as an example by using direct actuation scheme and inter-story actuation scheme respectively. The overlapping decentralized control and multi-overlapping decentralized sliding mode control all can achieve good control effects in aforesaid two actuation schemes.(3)The overlapping decentralized Hoo control method has been established as a result of the combination of the static output feedback, overlapping decentralized control method and H∞ norm control algorithm in continuous time state and discrete time state. The method adds a small perturbation matrix to the state matrix in order to overcome the computational difficulties encountered in solving the relevant linear matrix inequality (LMI). The effectiveness of overlapping decentralized Hoo control method as proposed in this article has been validated by a three layers, a five layers, and a 20 layers Benchmark building structure numerical examples. These numerical examples can illustrate the effectiveness of overlapping decentralized Hoo control method in dealing with multi-degree of freedom structural vibration control.(4) The motion state equation of multi-adjacent building structures under seismic excitation has been deduced in this paper. The rationality of overlapping decentralized H∞ control method as proposed in this article has been validated by numerical examples of adjacent building structures which are a combination of two buildings or three buildings. These numerical examples can illustrate the rationality of overlapping decentralized Hoo control method when it is applied to decentralized control of adjacent building structures vibration.(5) In this article, combining the overlapping decentralized control method, linear matrix inequality (LMI) method and a static output feedback and energy-to-peak control algorithm, the overlapping decentralized static output feedback and energy-to-peak control method has been established. Taking an eight layers structure and a twenty layers Benchmark building structure model as examples, it has been validated that the energy-to-peak control algorithm can solve overlapping decentralized control problem of structural vibration.(6) The overlapping decentralized Hoo control method of time delayed building structure has been established as a result of the combination of the linear matrix inequality (LMI), Hoo control algorithm and overlapping decentralized control strategy. Taking a twenty layers Benchmark building structure model as an example, it has been validated that the time delayed overlapping decentralized control system can effectively reduce the structural vibration response under seismic excitation.(7) This paper gives a birth to the fault-tolerant control method of structural overlapping decentralized control which is based on Hoo control algorithm and makes a study of the active fault-tolerant control and passive fault-tolerant control of building structure respectively. The effectiveness of the active fault-tolerant control and passive fault-tolerant control as proposed in this article has been validated by a four layers and a 20 layers building structure numerical examples. It can illustrate that the fault-tolerant control technology can be effectively used in the decentralized control of building structure vibration.(8) This paper uses the nonlinear feedback control in order to make a study of the decentralized sliding mode control problem of building structure vibration under seismic excitation. Taking a twenty layers Benchmark building structure model as an example, it has been validated that the nonlinear feedback control can effectively solve the decentralized sliding mode control problem of building structure vibration under seismic excitation. Decentralized control scheme can be set according to the actual engineering situation. It increases the flexibility of decentralized controller in setting aspect.