摘要
线性摄动系统同时实现模态解耦控制和状态反馈极点配置问题的研究方法,首先,利用矩阵的奇异值分解和圆盘定理,论证同时实现线性系统模态解耦控制和鲁棒状态反馈极点配置的可行性;其次,以新的特征值灵敏度指标函数,并将具有模态解耦的状态反馈极点配置问题转化为优化问题;再次,通过参数化特征值灵敏度指标函数,推导指标的显式梯度公式,利用优化算法求解此优化问题。最后,进行了算例操作,说明该算法简单、有效。
Linear perturbed systems while achieving modal decoupling control methods and state feedback pole assignment problem. First of all, singular value decomposition and matrix disc theorem, demonstration a- chieve modal decoupling control of linear systems and robust state Feedback feasibility pole configuration. Secondly, the new eigenvalue sensitivity index function and the state have a modal decoupling feedback pole as- signment problem into an optimization problem. Again, through parametric sensitivity index function character- istic values derive explicit formulas gradient index, the use of optimization algorithms solves this optimization problem. Finally, a numerical example operation indicates that the algorithm is simple and effective.
出处
《黑河学院学报》
2014年第4期123-128,共6页
Journal of Heihe University
关键词
线性系统
模态解耦
极点配置
鲁棒性
linear systems
modal decoupling
pole placement
robustness
