导数项不确定广义Delta算子系统的鲁棒容许控制研究  

Robust Admissible Control of Generalized Delta Operator Systems with Derivative Indices

作　　者：高祯[1] 董心壮[1] 欧洋[1] 

机构地区：[1]青岛大学自动化与电气工程学院,山东青岛266071

出　　处：《青岛大学学报（工程技术版）》2017年第2期33-37,共5页Journal of Qingdao University(Engineering & Technology Edition)

基　　金：国家自然科学基金项目(61104001)

摘　　要：针对导数项不确定的广义Delta算子系统,本文采用导数反馈控制器,对广义Delta算子系统的鲁棒容许控制问题进行研究。以Delta算子相关理论以及广义二次容许充要条件为依据,采用线性矩阵不等式方法,得出广义Delta算子系统具有鲁棒容许性能存在的充分条件。在此理论基础上,进一步设计导数项不确定的广义Delta算子系统的导数反馈控制器,给出闭环系统具有鲁棒容许性能的条件和设计方法,同时给出具体实例,利用Matlab-LMI对所得结论进行仿真验证。仿真结果表明,闭环导数项不确定广义Delta算子系统具有鲁棒容许性能,本文所设计的导数反馈控制器可行。因此,证明Delta算子方法在导数项不确定的广义Delta算子系统上可以良好运用,该研究具有可实施性和有效性。In this paper, the derivation feedback controller is used to study the robust admissibility control prob-lem for the generalized delta operator system for generalized delta operator systems with uncertain derivatives. Based on Delta operator correlation theory and generalized quadratic admissible sufficient and necessary condi-tions, a sufficient condition for the existence of robust admissible performance of generalized Delta operator system is obtained. Based on this theory, the derivative feedback controller of generalized Delta operator sys-tem with uncertain derivative is designed. The conditions and design methods of robust tolerance are given. The simulation results are verified. The simulation results show that the closed - loop derivative term is inde-terminate and the generalized Delta operator system has robust admissibility. The derivative feedback controller designed in this paper is feasible. Therefore, i t is proved that the Delta operator method can be applied to the generalized delta operator system with the derivative term indefinitely.

关 键 词：广义Delta算子系统 鲁棒容许控制 导数反馈控制器 线性矩阵不等式 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]