摘要
基于小波基函数的正交逼近特性及运算矩阵,提出了一种求解混合H2/H∞鲁棒控制问题的新方法。该方法利用离散小波快速算法的数值矩阵,将原问题转化为代数矩阵问题,避免计算耦合Riccati微分方程,适合于计算机求解。文中给出了计算实例,计算结果令人满意。
A new method for computing the mixed H_2/H_∞ robust problem is proposed based on the multi-scale multi-resolution approximation feature and the operation matrix of wavelets basis. This method changes the mixed H_2/H_∞ robust problem into an algebraic matrix equations problem using the numerical matrix of fast discrete wavelets transform. The procedure avoids computing a pair of cross-coupled Riccati equations, so it is simple and clear, and suitable to calculate by computer. Numerical examples show that the method is rational and effective.
出处
《华东理工大学学报(自然科学版)》
CAS
CSCD
北大核心
2004年第3期332-335,共4页
Journal of East China University of Science and Technology
基金
广东省科技计划基金资助项目(C10050)