Delta算子系统的状态量化H∞控制  

H∞ Control for Delta Operator Systems with State Quantization

作　　者：刘聪昳 

机构地区：[1]福建师范大学数学与统计学院,福建 福州

出　　处：《应用数学进展》2022年第2期621-629,共9页Advances in Applied Mathematics

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。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.

关 键 词：DELTA算子系统 状态量化 H∞控制 

分 类 号：O17[理学—数学]