切换系统在异步切换下的输出跟踪控制

发布时间：2017-12-27 05:29

本文关键词：切换系统在异步切换下的输出跟踪控制　出处：《沈阳工业大学》2017年硕士论文　论文类型：学位论文

【摘要】：切换系统是控制领域一类特殊的混杂系统,有广泛的实际背景及重要的理论价值。跟踪控制理论作为其中一个重要的研究课题,在工业中得到了广泛的应用。而在实际应用中,由于控制器的切换与子系统的切换之间存在时滞,使得系统的切换发生异步现象,这给系统的跟踪带来了很大难度。目前,对异步切换跟踪问题的研究还相当有限。本文主要利用平均驻留时间法研究了两类切换系统在异步切换下的跟踪控制问题,分别给出其可解的充分条件。本文的主要工作概括如下:首先,研究了一类级联非线性切换系统在异步切换下的H?跟踪控制问题。利用平均驻留时间方法,分析了系统在异步切换下能量函数的变化,确保了系统的内部稳定性。并设计了控制器,在允许的切换信号作用下,为达到跟踪目的,利用线性矩阵不等式方法给出了系统的跟踪性能指标,进而给出了系统在异步切换下问题可解的充分条件。其次,研究了一类执行器饱和的切换正系统在异步切换下的1L跟踪控制问题。首先通过构造余正Lyapunov函数,得出系统在任意切换下稳定的结论。其次,利用平均驻留时间法给出了系统在异步切换下输出跟踪问题可解的充分条件。并由此设计出一组状态反馈控制器,使系统满足跟踪性能。最后,对全文所做工作进行了总结,并对下一步研究工作作出了展望。
[Abstract]:Switching system is a special kind of hybrid system in the control field. It has a wide range of practical background and important theoretical value. As one of the most important research topics, the tracking control theory has been widely used in industry. In practical applications, due to the delay between controller switching and subsystem switching, the asynchronous handover phenomenon occurs, which brings great difficulty to the tracking of the system. At present, the research on asynchronous switching tracking problem is quite limited. In this paper, we mainly use the mean standing time method to study the tracking control problem of two types of switched systems under asynchronous switching, and give the sufficient conditions for their solvability respectively. The main work of this paper is summarized as follows: firstly, the H? Tracking control problem of a class of cascaded nonlinear switched systems under asynchronous switching is studied. By means of the mean standing time method, the energy function changes of the system under asynchronous switching are analyzed, and the internal stability of the system is ensured. A controller is designed, under the action of permissible switching signals, in order to achieve the purpose of tracking, the tracking performance index of the system is given by using the linear matrix inequality method, and the sufficient condition of the system's solvability under asynchronous switching is given. Secondly, the 1L tracking control problem of a class of actuator saturation switched positive systems under asynchronous switching is studied. First, by constructing the residual positive Lyapunov function, the conclusion that the system is stable under arbitrary switching is obtained. Secondly, the sufficient conditions for the solution of the output tracking problem of the system under asynchronous switching are given by means of the mean standing time method. And a set of state feedback controllers are designed to make the system meet the tracking performance. Finally, the work of the full text is summarized, and the next step of the research work is prospected.
【学位授予单位】：沈阳工业大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：O231

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