切换LPV系统的输出反馈控制和对Boost电路的建模应用

发布时间：2018-03-28 11:06

  本文选题：切换系统　切入点：LPV　出处：《西南交通大学》2017年硕士论文

【摘要】：切换系统是一种混杂系统,是同时包含了相互影响的离散事件和连续变量的复杂的动态系统。切换系统本身由一系列子系统和控制他们之间运行关系的切换规则组成。当前针对切换系统的研究方向主要有稳定性分析,切换律设计等。本文根据平均驻留时间MDADT(Mode-dependent Average Dwell Time)的概念对周期切换系统以及切换LPV系统的控制做了相关研究,并且在此基础上研究了 Boost电路。全文主要内容如下:本文针对周期切换系统在运行过程中的一种特殊情况,利用MDADT的概念实现了一种新型的最优控制方法。周期切换系统具有多个子系统,对于其中一个子系统的周期运行时间为特定值的情况,本文根据MDADT对系统的稳定性进行分析,利用计算收敛路径的方法进行切换律的设计,在切换律控制下,系统单周期内收敛路径的平方和J1+J2取得最小值,实现了整个系统的最优切换控制。仿真结果表明,通过这种方法设计的切换律,可以使周期切换系统在单个子系统运行时间为特定值的情况下实现最优切换,系统全局一致指数稳定。基于MDADT的概念设计了一种加权H∞鲁棒输出反馈控制器。对切换LPV系统进行多胞分解,使其转化为顶点参数模型,通过计算相关的线性矩阵不等式求解各个顶点的输出反馈H∞控制器,得到系统的控制器。这种加权H∞鲁棒输出反馈控制器的优势在于满足给定的干扰抑制水平γ的前提下,能够使系统在运行过程中全局一致指数稳定。对于基于切换系统建模的Boost电路,对于负载变化等参数时变情况,实现了对Boost电路的切换系统LPV建模及其控制。本文根据切换系统和LPV建模的定义验证和实现了 Boost电路基于切换系统的LPV建模,并且利用Lyapunov函数分析电路的稳定性,设计切换律控制开关切换。基于切换系统的LPV建模的优点在于有关切换LPV的相关研究方法和成果可以引入到DC-DC电路中。切换系统是一类重要的混杂系统,本文对切换系统中的周期切换系统和切换LPV系统的控制做了相关研究,并将切换LPV的建模和控制方式应用到了Boost电路。
[Abstract]:Switched systems are hybrid systems, The switching system itself consists of a series of subsystems and switching rules that control the operational relationship between them. The main research directions are stability analysis. According to the concept of average dwell time (MDADT(Mode-dependent Average Dwell time), this paper studies the control of periodic switched systems and switched LPV systems. On this basis, the Boost circuit is studied. The main contents of this paper are as follows: this paper aims at a special case of periodic switching system in the process of operation. A new optimal control method is implemented by using the concept of MDADT. There are several subsystems in the periodic switching system. For the case that the cycle time of one subsystem is a specific value, the stability of the system is analyzed according to the MDADT. The method of calculating convergence path is used to design the switching law. Under the control of switching law, the sum of square of convergence path and J _ (1) J _ 2 in a single period of the system obtain the minimum value, and the optimal switching control of the whole system is realized. The simulation results show that, By using the switching law designed by this method, the optimal handoff can be realized when the operating time of a single subsystem is specific. Based on the concept of MDADT, a weighted H 鈭，

本文编号：1676061