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离散奇异摄动系统的输出反馈H∞控制

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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H∞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.
Output feedback H∞ control for discrete singularly perturbed systems
Based on the stability theory and the linear matrix inequality method,the memory output feedback y-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.

time delay dependencetime delay independenceLyapunov-Krasovskii functionalcross-term definition methodH performance index

孙凤琪

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吉林师范大学数学与计算机学院,吉林四平 136000

时滞依赖 时滞独立 Lyapunov-Krasovskii泛函 交叉项界定法 H∞性能指标

2024

东北师大学报(自然科学版)
东北师范大学

东北师大学报(自然科学版)

CSTPCD北大核心
影响因子:0.612
ISSN:1000-1832
年,卷(期):2024.56(4)