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考虑一类利用位置和加速度反馈二阶线性系统的特征结构配置问题.在允许闭环系统的特征值是未知的前提下,结合矩阵多项式的右互质分解提出二阶线性系统特征结构配置的参数化方法,建立反馈增益阵和特征向量矩阵的显示参数化表达式.本文涉及的参数化方法直接将二阶系统模型转化为一阶状态空间形式,从而降低了系统设计中的计算工作量,并且提出的算法简单,无“返回”步骤.最后,数值算例表明了该算法的有效性.
Consider a class of configuration problems of eigenstructure using second-order linear systems with position feedback and acceleration feedback. Under the premise that the eigenvalues of closed-loop system are unknown, the parametrization of eigenproperties of second-order linear systems is proposed by combining right co- Method to establish the display parametric expression of the feedback gain matrix and the eigenvector matrix.The parametric method involved in this paper directly transforms the second-order system model into the first-order state space form, which reduces the computational workload in system design and proposes The algorithm is simple and there is no “return” step.Finally, the numerical example shows the effectiveness of the algorithm.