摘要
从考察具有外加随机噪声的单变量线性控制系统中的信息传输出发,研究了干扰输入和输出间的互信息率,并得出了互信息率与最小熵H∞控制理论中的性能函数——系统闭环传递函数H∞熵之间的关系,指出闭环传递函数的H∞熵是系统抑制干扰的可达性能(以互信息率为指标函数)的上界,探讨了控制系统中H∞熵的信息论意义.在此基础上,利用H∞熵的特性对具有外加随机噪声的不确定性系统和参数摄动不确定性系统的控制性能进行了比较,从而为利用信息论的概念和方法研究参数摄动不确定系统探索了有效的途径.
Uncertain SISO linear control systems with additive noise were investigated using the measure of Shannon mutual information rate. The relation between the H∞ entropy of system closed-loop transfer function, which was the performance index of the minimum entropy H∞ control method, and the mutual information rate of stochastic disturbance input and system output was derived within the framework of information transmission. This relation describes an upper bound of disturbance rejection performance measured by the mutual information rate, and gives new information theoretic interpretation for H∞ entropy. Based on this relation, performances of two kinds of uncertain systems, systems with additive noise and these with parameter perturbation, were also compared. The derived results enable study of uncertain systems with parameter perturbation using information theoretic concepts and methods.
出处
《浙江大学学报（工学版）》
EI
CAS
CSCD
北大核心
2003年第5期517-520,共4页
Journal of Zhejiang University：Engineering Science
