不确定广义Delta算子系统的鲁棒H_(∞)性能分析及控制器的设计  

Robust H_(∞) Performance Analysis and Controller Design of Uncertain Generalized Delta Operator System

作　　者：王文 Wang Wen(School of Intelligent Engineering,Taishan College of Science and Technology,Taian 271000,Shandong Province,China)

机构地区：[1]泰山科技学院智能工程学院,山东泰安271000

出　　处：《科学与信息化》2024年第3期98-101,共4页Technology and Information

摘　　要：本文主要基于不确定性的广义Delta算子系统,针对鲁棒控制的问题以及鲁棒性能分析等相关问题进行了研究。在研究的过程中,首先为了保证系统具备鲁棒容许性能引入了广义二次容许的相关定义。紧接着通过线性矩阵不等式,在充分必要条件的支持下,将所研究的系统推广为具有规定性能的二次可容许系统。然后,基于这些结论,考虑了系统鲁棒控制器的设计等问题。根据线性矩阵不等式,得到存在一个合适的鲁棒控制器所需的条件,并通过求解LMI给出了相应的设计方法。同时,通过Matlab软件,利用一个数值实例对本文结论的有效性进行了说明。This paper mainly studies the problem of robust control and robust performance analysis for the uncertain generalized Delta operator system.In the study process,firstly,in order to ensure that the system has robust admissible performance,the relevant definition of generalized quadratic admissible performance is introduced.Then,through the linear matrix inequality and with the support of sufficient necessary conditions,the studied system is generalized to a quadratically admissible system with specified performance.Subsequently,based on these conclusions,the design of the robust controller of the system is considered.According to the linear matrix inequality,the conditions required for the existence of a suitable robust controller are obtained,and the corresponding design method is given by solving the LMI.At the same time,a numerical example is used to illustrate the validity of the conclusions in this paper through Matlab software.

关 键 词：DELTA算子 不确定系统 H_(∞)性能分析 H_(∞)控制 线性矩阵不等式 

分 类 号：O17[理学—数学]