The New Method Of Calculating The State Feedback Gain Vector Of Vibration Control System

In recent years, because of the development of the space technique,many developed nations have already shot a number of large-scale aircrafts, for example artificial satellite and its supplementary solar energy panel,etc. This kind of vibration control problem of large-scale structure have always been the hot topic that people pay so much attention. In the last ten years, scholars of all countries have already carried on a great deal of research work on this kind of vibration control problem of large space structure, domestic and international publications have already published a great deal of literatures as well.The common characteristics of those kind of literatures is to value the comprehensive application of structural dynamics,modern control theory,computing method, and computer technology.Especially the tight coupling of the theory and the method of vibration modal analysis and the modern control theory.,The main content of this paper is the new method of the closed-loop vibration control system state feedback gain matrix.Chapter one introduces the status quo and open questions of the modal control ,as well as the major issue of this paper.Vibration control methods can be divided into two categories:1 passive vibration control,2 active vibration control.The passive vibration control don't need the energy of the outside world,also know as passive control,it only need inertia, flexible and damping components, easy to implement, in a variety of anti-vibration problems has played a good role, have been widely applied.But with the development of science and technology,people's demond on the vibration increasingly high.Only the conventional passive vibration control method ,can it be ineffective, with the exception of further research and improvement of the passive control method, people began to seek new Active Control of vibration control channel called Active Control,they need energy consumption moving bodies,the energy depends on the supplement energy.Chapter two introduces the basic contents of modal control theory of vibration modal analysis theory of the structural dynamics in close connection with the development of the modern control theory.Feedback control in the field is a very important basic concepts, such as output signal of controlled object (known as feedback signals) will return to the input channel through controller,which will form a closed-loop system.Using feedback control have two advantages: Firstly, it can amend the influence of the outside world;secondly,it can reduce the sensitivity of the parameters of the trait of the closed-loop system.Feedback control have two categories: state-feedback control and output feedback control. The former used state variables as a feedback signal, such feedback control demand for a full state variable information. The latter also known as the portion of the state feedback control, namely, use output variable as feedback signal.. System state variables through proportional to the input transmission link to the feedback form. State feedback to embody the characteristics of modern control theory of a control method.Chapter three presents the design method of the modal controller of non-loss system which has the isolated eigenvalues.Research on the control of large flexible structures is a very complicated issue. Research on such systems feedback controller design methodology is very comprehensive. The so-called modal controller design is the eigenvalue pole configuration of the closed-loop control system. On the closed-loop system configuration eigenvalue problem is the basic mode control methods, but also made a lot of the literatures. The previous chapter we give a traditional single-pole input system of the configuration methods, the chapter on the new method.of the non-loss closed-loop isolated eigenvalue of the vibration control system state feedback gain matrix. Chapter four presents a closed-loop non-loss feedback gain matrix perturbation method. of vibration control systems In the engineering problems often encountered in the case of small changes, such as the small changes of the structure ,manufacturing errors, iterative design, sensitivity analysis and the weak coupling system, and so on. The small-changes of the structural parameters will lead to the problem of the structural vibration control trait.,which is of great significance to the optimal design of the engineering structure. In the engineering design of the structure, in order to achieve optimal design, programmes need to be revised many times, and the classic method revised every need for a programme on the characteristics of a generalized problem.For large and complex structure of iterative vibration analysis is very cumbersome and expensive. Therefore, the need for a rapid re-sensitivity analysis and the re-analysis of the calculation method. Matrix perturbation method is the rapid sensitivity analysis and a powerful tool for analysis. As such, it attracted national and international interest of mechanical workers, a series of papers have been published. The purpose of this chapter is to use matrix perturbation method to study the changes of non-loss closed-loop vibration control system state feedback gain matrix caused by structural small-changes in parameters.