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基于小波的混合H_2/H_∞鲁棒控制数值解法

Numerical Solution Method for Mixed H_2/H_∞ Robust Control Problem Based on Wavelets
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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.
作者 张成科
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)
关键词 混合H2/H∞鲁棒控制 NASH策略 小波 数值逼近 mixed H_2/H_∞ robust problem Nash strategy wavelets numerical approximation
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参考文献7

  • 1[1]Bernstein D C, Haddad W M. LQR control with an H∞ performance bound: A Riccati equation approach[J]. IEEE Trans Automat Control, 1989, 34(2):293-305.
  • 2[2]Doyle J C, Zhou K, Bodeheimer B. Optimal control with mixed H2 and H∞ performance objectives[A]. Proceedings of ACC[C]. USA:[s.n.],1989,2 065-2 070.
  • 3[3]Zhou K, Doyle J C, Glover K, et al. Mixed H2 and H∞ control[A]. Proceedings of ACC[C]. USA:[s.n.],1990,2 502-2 507
  • 4[4]Khargnnekar P P, Rotea M A. Mixed H2/H∞ control: A convex optimization approach[J]. IEEE Trans Automat Control, 1991, 36(8):824-837.
  • 5[5]Limebeer D J N, Anderson B D O, Hendel B. A Nash game approach to mixed H2/H∞ control[J]. IEEE Trans Automat Control, 1994, 39(1):69-82.
  • 6张成科,王行愚.线性二次微分对策鞍点策略的小波分析法[J].控制与决策,2001,16(4):443-446. 被引量:1
  • 7[9]Daubecheise I. Orthonormal bases of compactly supported wavelets[J]. Comm Pure and Appl Math, 1998, 41:909-996.

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