广义Delta算子系统的容错与D-容许控制研究

发布时间：2018-05-30 01:01

本文选题：广义Delta算子系统 + 容错控制　；参考：《青岛大学》2017年硕士论文

【摘要】：随着控制理论的发展,人们发现一种更具广泛形式的动力系统,此系统被命名为广义系统。相比于正常系统,广义系统更加适合于描述实际应用系统,如电子系统、经济系统、约束力学系统、飞机建模等。研究广义系统可以促进经济发展、社会进步和高新产业的发展,对控制理论的进步也有着举足轻重的作用。从广义系统概念提出到现在的几十年时间里,广义系统发展非常迅速,现在已经取得了丰富的理论成果。Delta算子方法是连接连续系统与离散系统间的桥梁,使用Delta算子离散后的系统更趋近于原连续系统。它可以解决传统移位算子在高频领域的不足,使用Delta算子方法可以解决在高速采样时离散系统与连续系统的偏差,从而保证系统的稳定性。容错控制是为了提高系统的运行可靠性而产生的,容错控制器可以使系统在某些器件出现故障时仍然稳定地运行。D-容许控制器可以将系统的闭环极点配置在一个圆形区域内,提高系统的稳态和动态特性。本文研究的系统模型是广义Delta算子系统,主要研究了系统的容错和D-容许控制问题。根据广义Delta算子系统容许的充要条件和相应的定义推导出控制器存在的充分必要条件,并在此基础上使用LMI方法推导出控制器的设计方法。最后,用例题来检验本文的研究方法是否正确,验证结果表明本文设计的控制器是有效的,研究设计方法是可行的。本文的研究对实际系统研究具有重要的意义。
[Abstract]:With the development of control theory, a more extensive form of power system has been found. This system is named as a generalized system. Compared to normal systems, the generalized system is more suitable for describing practical application systems, such as electronic systems, economic systems, constrained mechanical systems, flying modeling and so on. The progress and the development of high and new industries play an important role in the progress of the control theory. From the concept of generalized system to the present decades, the development of the generalized system is very rapid. Now, a rich theoretical result has been obtained, the.Delta operator method is the bridge connecting the continuous system to the discrete system, and the use of Delta The system after discrete operator is closer to the original continuous system. It can solve the shortage of the traditional shift operator in the high frequency domain. The Delta operator method can solve the deviation between the discrete system and the continuous system at high speed sampling, thus ensuring the stability of the system. Fault tolerant control is produced to improve the system operation reliability. The error controller can make the system operate stably when some devices fail to operate the.D- admissible controller, which can configure the closed-loop poles of the system in a circular region to improve the steady-state and dynamic characteristics of the system. The system model studied in this paper is a generalized Delta operator system. The main purpose of this study is to study the fault tolerance of the system and the D- admissible control. On the basis of the sufficient and necessary conditions admissible by the generalized Delta operator system and the corresponding definition, the sufficient and necessary conditions for the existence of the controller are derived. On this basis, the design method of the controller is derived by using the LMI method. Finally, the example is used to test the correctness of the research method, and the results show that the controller designed in this paper is effective, The research design method is feasible. The research in this paper is of great significance to the actual system research.
【学位授予单位】：青岛大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：TP273

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