【作者】 王艳；

【导师】 杨冬梅；

【作者基本信息】 东北大学 ， 运筹学与控制论， 2009， 硕士

【摘要】 鲁棒控制是当今控制理论的一个研究热点,它是针对控制系统中的不确定性提出来的。由于在实际的工程控制问题中,受控系统本身的不确定性以及外界不确定性经常是不可避免的,因此,对鲁棒控制问题的研究具有重要的实际意义。线性系统的H∞控制问题,针对的是系统精确模型受到来自外界的不确定干扰。鲁棒H∞控制是H∞控制理论的一个重要分支,通常考虑系统存在参数不确定性时,设计反馈控制器,使得对所有允许的不确定性,闭环系统是稳定的而且具有一定的抑制外部扰动影响的能力。广义双线性系统是最接近线性广义系统的一类非线性系统。由于广义双线性系统增加了非线性项,双线性广义系统的研究比线性广义系统难得多。广义双线性系统的研究还处于初步发展阶段。本文研究了一类不确定广义双线性系统的鲁棒H∞控制。其主要内容就是研究单输入不确定广义双线性系统的带有不确定参数的鲁棒镇定和鲁棒H∞控制问题,利用线性矩阵不等式给出广义双线性系统鲁棒镇定和鲁棒H∞稳定的充分条件并且给出了存在的状态反馈控制器,使得闭环系统是稳定的,最后用实例证明了方法的有效性。更多还原

【Abstract】 Robust control is a research highlight, which proposed for uncertainties of the control systems. Because the uncertainties derived from both the system itself and outside are inevitable in the practical control engineering, it is of practical significance to research robust control. H∞control about linear systems consider the uncertainty disturbance of the accurate model from outside. Robust H∞control is a branch of robust control, which design a feedback controller so as to the closed-loop system stabilization and anti-interference for all admissible uncertainties when the parameter is uncertainty.Singular bilinear system is the nonlinear singular system which is the closest to linear singular system. It is more difficult to learn singular bilinear system because of the increasing nonlinear item. The research of singular bilinear systems is still on the initial developing stage.Robust H∞control of a class of singular bilinear system is researched in this paper. Robust stabilization and robust H∞control of the single-input singular bilinear system with uncertainty parameters are the primary coverage, which provide the sufficiency condition about the robust stabilization and robust H∞stabilization by means of LMI and give the corresponding state feedback controller subject to the closed-loop system stabilization. Finally, a numerical example is provided to demonstrate the application of the proposed method.更多还原