离散奇异摄动系统的输出反馈Η_(∞)控制  

Output feedback Η_(∞)control for discrete singularly perturbed systems

作　　者：孙凤琪[1] SUN Feng-qi(School of Mathematics and Computer Science,Jilin Normal University,Siping 136000,China)

机构地区：[1]吉林师范大学数学与计算机学院,吉林四平136000

出　　处：《东北师大学报（自然科学版）》2024年第4期42-52,共11页Journal of Northeast Normal University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(61741318)。

摘　　要：以Lyapunov稳定性理论为依据,基于线性矩阵不等式方法,通过构造新的依赖于奇异摄动参数的Lyapunov-Krasovskii泛函,并引用新的依赖于奇异摄动参数的交叉项界定方法,对含有控制输入和干扰输入的不确定时变时滞离散奇异摄动控制系统设计了记忆输出反馈γ-次优Η_(∞)控制器,给出了线性化矩阵不等式判定定理,并用数值样例验证了设计方法的可行性和优越性.Based on the stability theory and the linear matrix inequality method,the memory output feedbackγ-suboptimal controller for uncertain time-varying delay discrete singularly perturbed control systems with control input and disturbance input is designed,and the decision theorem are deduced with linear matrix inequalities by constructing a new L-K functional and a new cross-term definition method that depend on singularly perturbation parameters.Comparing relevant literature,the feasibility and superiority of the derived methods are given.

关 键 词：时滞依赖 时滞独立 LYAPUNOV-KRASOVSKII泛函 交叉项界定法 H_(∞)性能指标 

分 类 号：O411[理学—理论物理]