具有延迟和跳变的奇摄动控制系统的研究

发布时间：2018-06-01 23:54

  本文选题：奇异摄动系统 + Lur　； 参考：《华东师范大学》2017年博士论文

【摘要】：本论文考虑了—类奇异摄动系统的滑模控制。两时标结构是奇异摄动系统或奇摄动系统固有的特性,这个特性通常会导致系统阶数的增加和刚性问题的产生.从而大大增加了对系统分析和控制的复杂性.为了克服上述问题的产生,奇摄动方法应运而生.在过去的几十年,奇摄动方法获得了广泛的认可并在控制领域快速发展.目前,有关马尔可夫跳变的奇异摄动控制系统和奇异摄动的滑模控制问题引起的很多学者的关注,并已取得了很大的进展,但仍然有许多深刻的问题没有解决.本论文在深入研究奇摄动系统的鲁棒稳定以及反馈控制问题的基础之上,获得了一些新的结果,主要研究内容如下:1.研究了一类时滞奇异摄动系统基于无源的滑模控制问题。其中奇异矩阵被考虑到切换面的设计中,从而便于分析滑模动力学的稳定性。给出了一个时滞依赖的LMI条件,使得滑模动力学是二次稳定和鲁棒无源的。同时,进一步考虑的系统的反馈无源化问题。最后,给出了滑模控制规程的合成问题。2.研究了具有马尔克夫跳变的奇异摄动系统的滑模控制问题。设计了合适的滑模控制器使得非线性奇异摄动系统是随机稳定的。同时,其轨线能在有限时间内到达滑模面。最后,利用Lyapunov函数方法和LMI技术给出了系统随机稳定的充分条件。3.研究了一类具有输入非线性的Lur' e奇异摄动系统的滑模控制。设计了一个新颖的依赖的切换面使得给出的动力学系统仍是一个奇异摄动系统。利用LMI方法,时滞依赖和独立的充分条件分别被提出使得滑模动力学是无源和渐近稳定的。同时,参数允许的上界也被给出。最后,一件滑模控制规程被设计使得系统状态能在有限时间内到边切换面。
[Abstract]:In this paper, the sliding mode control of a class singular perturbation system is considered. The two time scale structure is an inherent characteristic of a singularly perturbed or singularly perturbed system. This characteristic usually leads to the increase of the system order and the production of the rigid problem. Thus, the complexity of the system analysis and control is greatly increased. In order to overcome the problems mentioned above, a strange perturbation is made. In the past few decades, the singularly perturbed method has been widely recognized and developed rapidly in the control field. At present, many scholars have paid much attention to the singular perturbation control system of Markov jump and the sliding mode control of singularly perturbed, and have made great progress, but there are still many profound problems. The problem is not solved. Based on the in-depth study of the robust stability and feedback control problem of the singularly perturbed system, some new results are obtained. The main contents are as follows: 1. the passive sliding mode control problem for a class of time-delay singular perturbation systems is studied. The singular matrix is considered in the design of the switching surface. It is easy to analyze the stability of sliding mode dynamics. A time-delay dependent LMI condition is given. The sliding mode dynamics is two times stable and robust passivity. At the same time, the feedback passivation problem of the system is further considered. Finally, the synthesis problem of the sliding mode control protocol.2. is given to study the singular perturbation system with Mar Kfeu jump. A suitable sliding mode controller is designed to make the nonlinear singularly perturbed system be random stable. At the same time, the trajectory of the trajectory can reach the sliding surface in a limited time. Finally, the sufficient condition for stochastic stability of the system is given by the Lyapunov function method and the LMI technique. A class of Lur'e odd with input nonlinearity is studied. A novel sliding mode control system is designed. A new dependent switching surface is designed to make the given dynamic system still a singularly perturbed system. Using the LMI method, time delay dependence and independent sufficient conditions are proposed to make sliding mode dynamics passive and asymptotically stable. A sliding mode control procedure is designed so that the system state can reach the side switching surface within a limited time.
【学位授予单位】：华东师范大学
【学位级别】：博士
【学位授予年份】：2017
【分类号】：TP13
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本文编号：1966293