摘要
针对广义Delta算子系统的鲁棒性能分析和鲁棒综合问题,本文主要研究了在不确定性存在的条件下,广义Delta算子系统的鲁棒容许性分析及鲁棒容许控制。为保证系统的鲁棒容许性,引入广义二次容许的定义,同时,利用线性矩阵不等式,给出了在不确定性存在的条件下,广义Delta算子系统满足广义二次容许的充要条件,并在此基础上,更进一步地研究了不确定广义Delta算子系统的鲁棒容许控制问题,得到了鲁棒容许控制器存在的充分必要条件及鲁棒容许控制器的设计方法,给出了数值算例,并用MatlabLMI工具箱进行了仿真运算。仿真结果表明,该结果可以很方便地利用Matlab-LMI工具箱进行验证和求解,具有良好的可实施性,说明本文理论结果的有效性。该研究具有实际应用价值。
Regarding the problem of robust performance analysis and robust synthesis or singular delta operator systems,this paper mainly investigates the robust admissibility analysis and robust admissible control for singular delta operator systems with uncertainties. We introduce the definition of generalized quadratical admissibility to ensure the robust admissibility of the system, meanwhile, by using linear matrix inequality （LMI）, a necessary and sufficient condition is given such that a singular delta operator system with uncertainties is generalized quadratically admissible. We study much further the problems of robust admissibility control for uncertain singular delta operator systems based on the above result. A necessary and sufficient condition for the existence of a robust admissible controller and the design method of the robust admissible controller are obtained. A numerical example is given and simulation calculating is carried out through Matlab-LMI toolbox. The simulation results show that the results can be validated and solved conveniently by using Matlab-LMI toolbox and are better feasible for implementation. Meanwhile,it illustrates the effectiveness of the theoretical results in this paper . This study has practical value.
出处
《青岛大学学报（工程技术版）》
CAS
2015年第4期16-21,共6页
Journal of Qingdao University(Engineering & Technology Edition)
基金
国家自然科学基金资助项目(61104001)
