CAJ | 학술논문

考虑了离散系统多冗余输入作用问题.首先介绍了一个多冗余输入使得二次性能指标严格下降的充分必要条件.对于品质指标非严格下降的情形,利用辛矩阵特征向量与广义特征向量给出了决定初始条件的方法.多冗余输入情况下不确定系统保证品质问题给出了类似的结果.进一步给出了一个选择输入矩阵使得二次性能指标下降更快的优化算法.提供了一个数值例子以验证理论结果.
고필료리산계통다용여수입작용문제.수선개소료일개다용여수입사득이차성능지표엄격하강적충분필요조건.대우품질지표비엄격하강적정형,이용신구진특정향량여엄의특정향량급출료결정초시조건적방법.다용여수입정황하불학정계통보증품질문제급출료유사적결과.진일보급출료일개선택수입구진사득이차성능지표하강경쾌적우화산법.제공료일개수치례자이험증이론결과.
This paper considers the effects of the redundant control inputs in discretetime systems. A necessary and sufficient condition for the strict decrease of the quadratic performance index with input extension is introduced.For the non-strict decrease cases,the initial state set is determined by using simplictic matrix eigenvectors and generalized eigenvectors.The guaranteed cost problem is also solved for uncertain systems with input extension.An optimizing iterative algorithm is presented to choose the input matrix columns for a better performance index.An example is given to illustrate the results.