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讨论广义系统的H2及Hu001f模型降阶问题。首先建立了误差系统,从而将H2及Hu001f模型降阶问题转化为使误差系统的传递函数的H2及Hu001f范数是有限的,并给出了其有限的充要条件。然后对单输入的情况,给出了一种切实有效的降阶算法,且保持了原系统的脉冲性或非因果性。该算法的优点是不需对原系统进 行分解,且得到的降阶系统阶数最低,计算量亦较小。数值仿真进一步说明了该算法的有效性。
Discuss the reduction of H2 and H u001f model of generalized system. First, the error system is established, so that the H2 and H u001f model reduction problems are transformed into the H2 and H u001f norm of the transfer function of the error system are finite, and its finite necessary and sufficient conditions are given. Then for a single input case, an effective and efficient reduction algorithm is given, and the impulsiveness or non-causalness of the original system is preserved. The advantage of this algorithm is that it does not need to decompose the original system, and the order of the reduced order system is the lowest, and the calculation amount is also small. Numerical simulation further illustrates the effectiveness of the algorithm.