一种基于J-无损分解的性能加权函数优化设计

为了提高伺服系统性能,提出一种基于J-无损分解的性能加权函数优化设计方法.首先,依据闭环系统H_∞范数达到1的设计准则,给出了伺服系统性能加权函数优化设计算法的迭代步骤;其次,利用Bode积分关系以及H_∞最优控制结果全通特性分析了算法的收敛性;最后,基于J-无损分解推导出性能加权函数优化设计的计算公式.所提出的优化设计算法易于迭代计算,能够在较少的迭代步骤内使得闭环系统H_∞范数达到1.仿真实例验证了算法的有效性.

Optimization design approach of performance weight function based on J-lossless factorization

In order to get servo system's best performance,an optimization design approach of performance weight function based on J-lossless factorization is proposed.Firstly,utilizing the criterion of closed loop system's H_∞ norm approaching 1,the servo system's performance weight function design iteration steps were presented.Secondly,the algorithm' convergence was analyzed based on Bode's integral and allpass property of H_∞ optimal control.Finally,the performance weight function calculating formula was deduced based on J-lossless factorization.The proposed optimization design method is easy to compute and closed loop system's H_∞ norm will approach 1 in a few steps.A simulation result is given to verify the proposed method's validation.