离散综合控制系统的静态输出反馈控制  

Design of Static Output Feedback Controller for Discrete Comprehensive Control System

作　　者：孙凤琪[1] SUN Fengqi(Department of Mathematical,Jilin Normal University,Siping 136000,China)

机构地区：[1]吉林师范大学数学学院,吉林四平136000

出　　处：《吉林大学学报（信息科学版）》2022年第1期7-12,共6页Journal of Jilin University（Information Science Edition）

基　　金：国家自然科学基金资助项目(61741318)。

摘　　要：为进一步对离散控制系统进行系统设计与分析,使新的闭环系统渐近稳定,满足预期性能指标,在时滞依赖和时滞独立两种情形下,对奇异摄动不确定控制系统设计一个静态输出反馈控制器,构造一种新的二次求和型L-K泛函。利用交叉项界定方法对泛函差分过程进行放大,运用引理消除系统的不确定性,得到静态输出反馈控制器在时滞条件下的充分性判据,扩大了控制器的控制范围。通过算例验证结论的有效性和可行性,对比相应文献,展示所得控制器更加优越。In order to further design and analyze the discrete control system so that the new closed-loop system is asymptotically stable and meets the expected performance index, a static output feedback controller is designed for singularly perturbed uncertain control systems in the case of delay dependence and delay independence. And a new quadratic summation type L-K functional is constructed, the functional difference process is amplified by means of the cross-term defined method, and the uncertainty functionof the system is eliminated by lemmas, the sufficient criterion of the static output feedback controller with time delays is obtained, which enlarges the control range of the controller. The effectiveness and feasibility of the derived conclusions are verified by the selected example, and the controller is more superior in times comparing the corresponding literature.

关 键 词：Schur补引理 奇异摄动系统 时滞系统 线性矩阵不等式(LMI) 交叉项界定法 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]