Delta算子系统的状态量化H∞控制
H∞ Control for Delta Operator Systems with State Quantization
DOI: 10.12677/AAM.2022.112069, PDF,   
作者: 刘聪昳：福建师范大学数学与统计学院，福建 福州
关键词: Delta算子系统；状态量化；H∞控制；Delta Operator Systems； State Quantization； H∞ Control
摘要: 本文主要研究Delta算子系统的状态量化H∞控制问题，首先设计状态反馈控制器，使得Delta算子系统是渐进稳定，且满足一定的H∞性能指标。此外，考虑应用动态量化器，使得Delta算子系统在动态量化器下也能够满足相同的H∞性能指标。基于Lyapunov函数，利用线性矩阵不等式对目标进行设计，最后，通过数值算例验证了所给方法的可行性和有效性。
Abstract: This paper mainly studies the H∞ control for Delta operator systems with state quantization. Firstly, by designing state feedback controller, the Delta operator systems are asymptotically stable and satisfy the H∞ performance index. In addition, considering the dynamic quantizer, the delta operator systems can satisfy the same performance index under it. Based on a Lyapunov function, the target is designed by using linear matrix inequality. Finally, a numerical example is given to verify the feasibility and effectiveness of the design method.
文章引用：刘聪昳. Delta算子系统的状态量化H∞控制[J]. 应用数学进展, 2022, 11(2): 621-629. https://doi.org/10.12677/AAM.2022.112069

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