综合控制系统的动态输出反馈控制器设计  

Dynamic Output Feedback Controller Design for Integrated Control System

作　　者：孙凤琪[1] 程佳欣 SUN Fengqi;CHENG Jiaxin(College of Mathematics,Jilin Normal University,Siping 136000,China;Department of Statistics,Hechi College,Hechi 546300,China)

机构地区：[1]吉林师范大学数学学院,吉林四平136000 [2]河池学院统计系,广西河池546300

出　　处：《吉林大学学报（信息科学版）》2021年第1期37-44,共8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：为进一步对控制系统进行系统分析与设计,对离散时滞奇异摄动不确定控制系统设计动态输出反馈控制器,使闭环系统渐近稳定。针对时滞依赖和时滞独立两种情形进行讨论,构造一种新的二次求和型李雅普诺夫泛函。利用交叉项界定方法对泛函差分过程进行放大,并综合运用引理消除系统的不确定性,推出动态输出反馈控制器在时滞条件下存在的充分性判据,扩大控制器的摄动控制范围。对所得结论进行推广,通过算例验证该方法的有效性和可行性,并通过对比相应文献,说明所得控制器具有一定的优越性,可使闭环系统渐近稳定。不仅符合设计要求,而且能达到二次调节控制效果。In order to further analyze and design the control system,the dynamic output feedback controller is designed for discrete time-delay singularly perturbed uncertain control systems to make the closed-loop system asymptotically stable.A new quadratic summation type L-K function is constructed for both delay dependent and delay independent case.The functional difference process is amplified by cross-term defined method,and the uncertainty of the system is eliminated by using the appropriate lemmas,the sufficiently existent criterion of dynamic output feedback controller with time delay is derived to expand the perturbation control range of the controller.The effectiveness and feasibility of the proposed method are verified by the showed example.Based on comparing the corresponding literature,it is shown that the proposed controller has certain advantages and makes the closed-loop system asymptotically stable.It meets the design requirements,and can achieve the secondary control effect.

关 键 词：输出反馈控制律 离散不确定系统 Schur补引理 LYAPUNOV-KRASOVSKII泛函 线性矩阵不等式 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] O231.2[自动化与计算机技术—控制科学与工程]